y +1/1/60+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299.792 458Mms−1

b 2.997 924 58× 108 ms−1

c 299 792 458ms−1

d 2.997 924 58× 109 m/s

Question 2 Average speed, savg, is de�ned as:

a total distance covered covered per unit time:

savg =total distance

∆t

b average velocity per unit time

savg =∆vavg

∆t

c averege velocity of an object

savg = v̄

d average displacement per unit time

savg =∆x

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a g(x)

b f(x)

c j(x)

d h(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a√

5

b 5

c 9

d 3

Question 5 The unit of force, expressed in base

SI units is:

a 1 gm s−2

b 1 kgm s−2

c 1 lb

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs > ~fk

b ~fs < ~fkc ~fs = ~fk

d ~fs = −~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 < K2

b K1 = K2

c K1 = K2 = 0

d K1 = −K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = mgh

b W = Fd

c W = Fd · sinφd W = ~F · ~d

y y

y +1/2/59+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = −100 J

b W = 0 J

c W = 100 J

d W = 100N

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the sum of kinetic energy and potential energycannot change.

b the kinetic energy is equal to 0.

c the system is also called �conservative.�

d the potential energy is constant.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the sum of kinetic and potential energy.

b the net force acting on the particle and is inthe direction of that force.

c the net force acting on the particle in the op-posite direction of that force.

d the kinetic energy of the particle.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ 0.

b v2f ≈2m1

m2v1i.

c v2f ≈ −v1i.d v2f ≈ v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 6.283 rad h−1.

b 1 rev.

c 2π radmin−1.

d 60min.

Question 14 The �gure 1 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 1.5.

b 3π2.

c 0.5.

d π2.

Question 15 The speed of traveling wave v isequal to:

a λf

b λT

c 1T

d ωt

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b transversal mechanical waves that can travelthrough solids, liquids, or gases.

c longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

d longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 2.Calculate road after 15 s.

a 600m

b 675m

c 225m

d 100m

Question 18 Figure 3 represents the velocity ofstraight line motion of a car. How far will travel thecar for the �rst 8 seconds of motion?

a 45m

b 34m

c 28m

d 12m

y y

y +1/3/58+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.2667

b 0.9832

c 0.7415

d 0.6667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

b v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

c v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

d v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 8.100m

b 3.781m

c 2.134m

d 1.552m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 4) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 11.658

b 2.75

c 0.364

d 0.603

Question 23 In the game �Angry Birds StarWars� (see Fig. 5) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 60◦

b half of the maximum pull of the slingshot atα = 45◦

c maximum pull of the slingshot at α = 30◦

d maximum pull of the slingshot at α = 45◦

Question 24 At which angle α Luke should beejected (see Fig. 5) to achieve the maximum height?

a α = 60◦

b α = π rad

c α = 45◦

d α = 0.5π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 5) is−32 ◦C. However night-time temperatures go as low as −60 ◦C. If the airresistance is taken into consideration, do you thinkthat Luke would go further during the night for thesame ejecting conditions? Assume the atmosphericpressure is the same.

a No

b Yes

y y

y +1/4/57+ y

Figure 1: Curve representing simple harmonic oscillations

Figure 2: Velocity-time graph

Figure 3: Car motion graph

y y

y +1/5/56+ y

Figure 4: Two pendulums, A and B, in the game �Cut the Rope�

Figure 5: Screenshot from the game �Angry Birds Star Wars�

y y

y +1/6/55+ y

Answers:

Name:

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Question 1: a b c d

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Question 25: a b

y y

y +2/1/54+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299 792 458ms−1

b 2.997 924 58× 108 ms−1

c 299.792 458Mms−1

d 2.997 924 58× 109 m/s

Question 2 Average speed, savg, is de�ned as:

a average displacement per unit time

savg =∆x

∆t

b total distance covered covered per unit time:

savg =total distance

∆t

c averege velocity of an object

savg = v̄

d average velocity per unit time

savg =∆vavg

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a j(x)

b g(x)

c h(x)

d f(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a√

5

b 3

c 9

d 5

Question 5 The unit of force, expressed in base

SI units is:

a 1 lb

b 1 kgm s−2

c 1 gm s−2

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = ~fk

b ~fs < ~fkc ~fs > ~fk

d ~fs = −~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 < K2

b K1 = K2 = 0

c K1 = −K2

d K1 = K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd

b W = mgh

c W = Fd · sinφd W = ~F · ~d

y y

y +2/2/53+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 0 J

b W = 100N

c W = −100 J

d W = 100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the sum of kinetic energy and potential energycannot change.

b the system is also called �conservative.�

c the kinetic energy is equal to 0.

d the potential energy is constant.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the kinetic energy of the particle.

b the net force acting on the particle and is inthe direction of that force.

c the net force acting on the particle in the op-posite direction of that force.

d the sum of kinetic and potential energy.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈2m1

m2v1i.

b v2f ≈ v1i.c v2f ≈ −v1i.d v2f ≈ 0.

Question 13 What is the angular velocity ω ofa long clock hand?

a 1 rev.

b 2π radmin−1.

c 6.283 rad h−1.

d 60min.

Question 14 The �gure 6 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 3π2.

b 0.5.

c 1.5.

d π2.

Question 15 The speed of traveling wave v isequal to:

a λf

b ωt

c 1T

d λT

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c transversal mechanical waves that can travelthrough solids, liquids, or gases.

d longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 7.Calculate road after 15 s.

a 600m

b 675m

c 225m

d 100m

Question 18 Figure 8 represents the velocity ofstraight line motion of a car. How far will travel thecar for the �rst 8 seconds of motion?

a 45m

b 28m

c 34m

d 12m

y y

y +2/3/52+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.2667

b 0.6667

c 0.9832

d 0.7415

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

b v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

c v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

d v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 8.100m

b 2.134m

c 1.552m

d 3.781m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 9) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.603

b 0.364

c 11.658

d 2.75

Question 23 In the game �Angry Birds StarWars� (see Fig. 10) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 30◦

b maximum pull of the slingshot at α = 45◦

c maximum pull of the slingshot at α = 60◦

d half of the maximum pull of the slingshot atα = 45◦

Question 24 At which angle α Luke should beejected (see Fig. 10) to achieve the maximum height?

a α = π rad

b α = 45◦

c α = 0.5π rad

d α = 60◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 10) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +2/4/51+ y

Figure 6: Curve representing simple harmonic oscillations

Figure 7: Velocity-time graph

Figure 8: Car motion graph

y y

y +2/5/50+ y

Figure 9: Two pendulums, A and B, in the game �Cut the Rope�

Figure 10: Screenshot from the game �Angry Birds Star Wars�

y y

y +2/6/49+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 7: a b c d

Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

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Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +3/1/48+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 108 ms−1

b 299 792 458ms−1

c 299.792 458Mms−1

d 2.997 924 58× 109 m/s

Question 2 Average speed, savg, is de�ned as:

a average velocity per unit time

savg =∆vavg

∆t

b averege velocity of an object

savg = v̄

c total distance covered covered per unit time:

savg =total distance

∆t

d average displacement per unit time

savg =∆x

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a f(x)

b g(x)

c j(x)

d h(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 9

b√

5

c 5

d 3

Question 5 The unit of force, expressed in base

SI units is:

a 1N

b 1 kgm s−2

c 1 lb

d 1 gm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs < ~fk

b ~fs > ~fkc ~fs = ~fk

d ~fs = −~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2

b K1 = −K2

c K1 < K2

d K1 = K2 = 0

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd · sinφb W = ~F · ~dc W = Fd

d W = mgh

y y

y +3/2/47+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = −100 J

b W = 0 J

c W = 100 J

d W = 100N

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the kinetic energy is equal to 0.

b the sum of kinetic energy and potential energycannot change.

c the system is also called �conservative.�

d the potential energy is constant.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the sum of kinetic and potential energy.

b the net force acting on the particle and is inthe direction of that force.

c the net force acting on the particle in the op-posite direction of that force.

d the kinetic energy of the particle.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ v1i.b v2f ≈ −v1i.c v2f ≈ 0.

d v2f ≈2m1

m2v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 1 rev.

b 2π radmin−1.

c 6.283 rad h−1.

d 60min.

Question 14 The �gure 11 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 3π2.

b 0.5.

c π2.

d 1.5.

Question 15 The speed of traveling wave v isequal to:

a 1T

b λf

c ωt

d λT

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b transversal mechanical waves that can travelthrough solids, liquids, or gases.

c transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 12.Calculate road after 15 s.

a 675m

b 225m

c 600m

d 100m

Question 18 Figure 13 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 28m

b 12m

c 34m

d 45m

y y

y +3/3/46+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.9832

b 0.6667

c 0.2667

d 0.7415

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

d v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 8.100m

b 3.781m

c 2.134m

d 1.552m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 14) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.364

b 0.603

c 2.75

d 11.658

Question 23 In the game �Angry Birds StarWars� (see Fig. 15) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b half of the maximum pull of the slingshot atα = 45◦

c maximum pull of the slingshot at α = 60◦

d maximum pull of the slingshot at α = 30◦

Question 24 At which angle α Luke should beejected (see Fig. 15) to achieve the maximum height?

a α = 60◦

b α = π rad

c α = 0.5π rad

d α = 45◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 15) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +3/4/45+ y

Figure 11: Curve representing simple harmonic oscillations

Figure 12: Velocity-time graph

Figure 13: Car motion graph

y y

y +3/5/44+ y

Figure 14: Two pendulums, A and B, in the game �Cut the Rope�

Figure 15: Screenshot from the game �Angry Birds Star Wars�

y y

y +3/6/43+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 9: a b c d

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Question 11: a b c d

Question 12: a b c d

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Question 15: a b c d

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Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +4/1/42+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 109 m/s

b 299.792 458Mms−1

c 2.997 924 58× 108 ms−1

d 299 792 458ms−1

Question 2 Average speed, savg, is de�ned as:

a total distance covered covered per unit time:

savg =total distance

∆t

b average displacement per unit time

savg =∆x

∆t

c averege velocity of an object

savg = v̄

d average velocity per unit time

savg =∆vavg

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a h(x)

b f(x)

c g(x)

d j(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 5

b 9

c√

5

d 3

Question 5 The unit of force, expressed in base

SI units is:

a 1 lb

b 1N

c 1 gm s−2

d 1 kgm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = −~fkb ~fs < ~fkc ~fs = ~fk

d ~fs > ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2

b K1 < K2

c K1 = −K2

d K1 = K2 = 0

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd

b W = ~F · ~dc W = mgh

d W = Fd · sinφ

y y

y +4/2/41+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100 J

b W = −100 J

c W = 0 J

d W = 100N

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the potential energy is constant.

b the kinetic energy is equal to 0.

c the sum of kinetic energy and potential energycannot change.

d the system is also called �conservative.�

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the sum of kinetic and potential energy.

b the net force acting on the particle in the op-posite direction of that force.

c the net force acting on the particle and is inthe direction of that force.

d the kinetic energy of the particle.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ 0.

b v2f ≈2m1

m2v1i.

c v2f ≈ −v1i.d v2f ≈ v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 2π radmin−1.

b 6.283 rad h−1.

c 1 rev.

d 60min.

Question 14 The �gure 16 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 1.5.

b π2.

c 0.5.

d 3π2.

Question 15 The speed of traveling wave v isequal to:

a λT

b ωt

c λf

d 1T

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

b longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d transversal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 17.Calculate road after 15 s.

a 100m

b 225m

c 600m

d 675m

Question 18 Figure 18 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 12m

b 34m

c 45m

d 28m

y y

y +4/3/40+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.6667

b 0.2667

c 0.9832

d 0.7415

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

b v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

c v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

d v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 3.781m

b 2.134m

c 1.552m

d 8.100m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 19) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 11.658

b 2.75

c 0.603

d 0.364

Question 23 In the game �Angry Birds StarWars� (see Fig. 20) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b maximum pull of the slingshot at α = 60◦

c maximum pull of the slingshot at α = 30◦

d half of the maximum pull of the slingshot atα = 45◦

Question 24 At which angle α Luke should beejected (see Fig. 20) to achieve the maximum height?

a α = 60◦

b α = 45◦

c α = π rad

d α = 0.5π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 20) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +4/4/39+ y

Figure 16: Curve representing simple harmonic oscillations

Figure 17: Velocity-time graph

Figure 18: Car motion graph

y y

y +4/5/38+ y

Figure 19: Two pendulums, A and B, in the game �Cut the Rope�

Figure 20: Screenshot from the game �Angry Birds Star Wars�

y y

y +4/6/37+ y

Answers:

Name:

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Question 1: a b c d

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Question 9: a b c d

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Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

Question 15: a b c d

Question 16: a b c d

Question 17: a b c d

Question 18: a b c d

Question 19: a b c d

Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +5/1/36+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 109 m/s

b 2.997 924 58× 108 ms−1

c 299 792 458ms−1

d 299.792 458Mms−1

Question 2 Average speed, savg, is de�ned as:

a averege velocity of an object

savg = v̄

b average displacement per unit time

savg =∆x

∆t

c average velocity per unit time

savg =∆vavg

∆t

d total distance covered covered per unit time:

savg =total distance

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a j(x)

b g(x)

c f(x)

d h(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 5

b 9

c 3

d√

5

Question 5 The unit of force, expressed in base

SI units is:

a 1N

b 1 gm s−2

c 1 lb

d 1 kgm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs < ~fk

b ~fs > ~fkc ~fs = −~fkd ~fs = ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2 = 0

b K1 = −K2

c K1 = K2

d K1 < K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = ~F · ~db W = Fd · sinφc W = mgh

d W = Fd

y y

y +5/2/35+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 0 J

b W = 100 J

c W = 100N

d W = −100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the system is also called �conservative.�

b the sum of kinetic energy and potential energycannot change.

c the kinetic energy is equal to 0.

d the potential energy is constant.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the kinetic energy of the particle.

b the net force acting on the particle in the op-posite direction of that force.

c the sum of kinetic and potential energy.

d the net force acting on the particle and is inthe direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ 0.

b v2f ≈ −v1i.c v2f ≈

2m1

m2v1i.

d v2f ≈ v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 6.283 rad h−1.

b 1 rev.

c 2π radmin−1.

d 60min.

Question 14 The �gure 21 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 3π2.

b 1.5.

c π2.

d 0.5.

Question 15 The speed of traveling wave v isequal to:

a λf

b λT

c ωt

d 1T

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b transversal mechanical waves that can travelthrough solids, liquids, or gases.

c transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 22.Calculate road after 15 s.

a 100m

b 675m

c 225m

d 600m

Question 18 Figure 23 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 12m

b 34m

c 28m

d 45m

y y

y +5/3/34+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.7415

b 0.6667

c 0.2667

d 0.9832

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

d v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 1.552m

b 8.100m

c 3.781m

d 2.134m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 24) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 2.75

b 11.658

c 0.603

d 0.364

Question 23 In the game �Angry Birds StarWars� (see Fig. 25) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 30◦

b maximum pull of the slingshot at α = 60◦

c half of the maximum pull of the slingshot atα = 45◦

d maximum pull of the slingshot at α = 45◦

Question 24 At which angle α Luke should beejected (see Fig. 25) to achieve the maximum height?

a α = 60◦

b α = 0.5π rad

c α = π rad

d α = 45◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 25) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +5/4/33+ y

Figure 21: Curve representing simple harmonic oscillations

Figure 22: Velocity-time graph

Figure 23: Car motion graph

y y

y +5/5/32+ y

Figure 24: Two pendulums, A and B, in the game �Cut the Rope�

Figure 25: Screenshot from the game �Angry Birds Star Wars�

y y

y +5/6/31+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 4: a b c d

Question 5: a b c d

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Question 7: a b c d

Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

Question 15: a b c d

Question 16: a b c d

Question 17: a b c d

Question 18: a b c d

Question 19: a b c d

Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +6/1/30+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 108 ms−1

b 299 792 458ms−1

c 299.792 458Mms−1

d 2.997 924 58× 109 m/s

Question 2 Average speed, savg, is de�ned as:

a averege velocity of an object

savg = v̄

b total distance covered covered per unit time:

savg =total distance

∆t

c average velocity per unit time

savg =∆vavg

∆t

d average displacement per unit time

savg =∆x

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a h(x)

b f(x)

c j(x)

d g(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 9

b 3

c√

5

d 5

Question 5 The unit of force, expressed in base

SI units is:

a 1 gm s−2

b 1 lb

c 1 kgm s−2

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = −~fkb ~fs < ~fkc ~fs = ~fk

d ~fs > ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 < K2

b K1 = −K2

c K1 = K2 = 0

d K1 = K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd · sinφb W = ~F · ~dc W = mgh

d W = Fd

y y

y +6/2/29+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100N

b W = −100 J

c W = 100 J

d W = 0 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the sum of kinetic energy and potential energycannot change.

b the potential energy is constant.

c the kinetic energy is equal to 0.

d the system is also called �conservative.�

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle in the op-posite direction of that force.

b the net force acting on the particle and is inthe direction of that force.

c the sum of kinetic and potential energy.

d the kinetic energy of the particle.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ −v1i.b v2f ≈ 0.

c v2f ≈2m1

m2v1i.

d v2f ≈ v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 2π radmin−1.

b 1 rev.

c 60min.

d 6.283 rad h−1.

Question 14 The �gure 26 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 1.5.

b 3π2.

c π2.

d 0.5.

Question 15 The speed of traveling wave v isequal to:

a λf

b λT

c 1T

d ωt

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

b longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d transversal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 27.Calculate road after 15 s.

a 600m

b 100m

c 675m

d 225m

Question 18 Figure 28 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 28m

b 45m

c 12m

d 34m

y y

y +6/3/28+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.2667

b 0.7415

c 0.9832

d 0.6667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

d v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 8.100m

b 3.781m

c 2.134m

d 1.552m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 29) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 11.658

b 2.75

c 0.364

d 0.603

Question 23 In the game �Angry Birds StarWars� (see Fig. 30) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b maximum pull of the slingshot at α = 60◦

c maximum pull of the slingshot at α = 30◦

d half of the maximum pull of the slingshot atα = 45◦

Question 24 At which angle α Luke should beejected (see Fig. 30) to achieve the maximum height?

a α = 0.5π rad

b α = π rad

c α = 60◦

d α = 45◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 30) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +6/4/27+ y

Figure 26: Curve representing simple harmonic oscillations

Figure 27: Velocity-time graph

Figure 28: Car motion graph

y y

y +6/5/26+ y

Figure 29: Two pendulums, A and B, in the game �Cut the Rope�

Figure 30: Screenshot from the game �Angry Birds Star Wars�

y y

y +6/6/25+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

Question 3: a b c d

Question 4: a b c d

Question 5: a b c d

Question 6: a b c d

Question 7: a b c d

Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

Question 15: a b c d

Question 16: a b c d

Question 17: a b c d

Question 18: a b c d

Question 19: a b c d

Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +7/1/24+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299.792 458Mms−1

b 299 792 458ms−1

c 2.997 924 58× 108 ms−1

d 2.997 924 58× 109 m/s

Question 2 Average speed, savg, is de�ned as:

a averege velocity of an object

savg = v̄

b total distance covered covered per unit time:

savg =total distance

∆t

c average displacement per unit time

savg =∆x

∆t

d average velocity per unit time

savg =∆vavg

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a g(x)

b h(x)

c j(x)

d f(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 5

b 9

c 3

d√

5

Question 5 The unit of force, expressed in base

SI units is:

a 1N

b 1 kgm s−2

c 1 gm s−2

d 1 lb

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs < ~fk

b ~fs = −~fkc ~fs > ~fk

d ~fs = ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2 = 0

b K1 = K2

c K1 < K2

d K1 = −K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = ~F · ~db W = Fd

c W = mgh

d W = Fd · sinφ

y y

y +7/2/23+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = −100 J

b W = 0 J

c W = 100N

d W = 100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the kinetic energy is equal to 0.

b the system is also called �conservative.�

c the sum of kinetic energy and potential energycannot change.

d the potential energy is constant.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the kinetic energy of the particle.

b the sum of kinetic and potential energy.

c the net force acting on the particle and is inthe direction of that force.

d the net force acting on the particle in the op-posite direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ −v1i.b v2f ≈ 0.

c v2f ≈ v1i.

d v2f ≈2m1

m2v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 6.283 rad h−1.

b 2π radmin−1.

c 60min.

d 1 rev.

Question 14 The �gure 31 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 1.5.

b 0.5.

c π2.

d 3π2.

Question 15 The speed of traveling wave v isequal to:

a λT

b 1T

c ωt

d λf

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c transversal mechanical waves that can travelthrough solids, liquids, or gases.

d longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 32.Calculate road after 15 s.

a 600m

b 675m

c 100m

d 225m

Question 18 Figure 33 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 28m

b 12m

c 45m

d 34m

y y

y +7/3/22+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.9832

b 0.6667

c 0.7415

d 0.2667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

b v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

c v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

d v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 8.100m

b 3.781m

c 1.552m

d 2.134m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 34) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 2.75

b 11.658

c 0.603

d 0.364

Question 23 In the game �Angry Birds StarWars� (see Fig. 35) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b maximum pull of the slingshot at α = 60◦

c maximum pull of the slingshot at α = 30◦

d half of the maximum pull of the slingshot atα = 45◦

Question 24 At which angle α Luke should beejected (see Fig. 35) to achieve the maximum height?

a α = 60◦

b α = 45◦

c α = 0.5π rad

d α = π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 35) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +7/4/21+ y

Figure 31: Curve representing simple harmonic oscillations

Figure 32: Velocity-time graph

Figure 33: Car motion graph

y y

y +7/5/20+ y

Figure 34: Two pendulums, A and B, in the game �Cut the Rope�

Figure 35: Screenshot from the game �Angry Birds Star Wars�

y y

y +7/6/19+ y

Answers:

Name:

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Question 1: a b c d

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Question 25: a b

y y

y +8/1/18+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 108 ms−1

b 299.792 458Mms−1

c 2.997 924 58× 109 m/s

d 299 792 458ms−1

Question 2 Average speed, savg, is de�ned as:

a average velocity per unit time

savg =∆vavg

∆t

b averege velocity of an object

savg = v̄

c total distance covered covered per unit time:

savg =total distance

∆t

d average displacement per unit time

savg =∆x

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a h(x)

b f(x)

c j(x)

d g(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a√

5

b 5

c 3

d 9

Question 5 The unit of force, expressed in base

SI units is:

a 1 gm s−2

b 1N

c 1 lb

d 1 kgm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = −~fkb ~fs < ~fkc ~fs > ~fk

d ~fs = ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2

b K1 < K2

c K1 = K2 = 0

d K1 = −K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = ~F · ~db W = Fd · sinφc W = mgh

d W = Fd

y y

y +8/2/17+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100 J

b W = 0 J

c W = 100N

d W = −100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the sum of kinetic energy and potential energycannot change.

b the potential energy is constant.

c the system is also called �conservative.�

d the kinetic energy is equal to 0.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the sum of kinetic and potential energy.

b the net force acting on the particle and is inthe direction of that force.

c the net force acting on the particle in the op-posite direction of that force.

d the kinetic energy of the particle.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ 0.

b v2f ≈ −v1i.c v2f ≈ v1i.

d v2f ≈2m1

m2v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 60min.

b 2π radmin−1.

c 1 rev.

d 6.283 rad h−1.

Question 14 The �gure 36 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 0.5.

b 3π2.

c π2.

d 1.5.

Question 15 The speed of traveling wave v isequal to:

a λT

b ωt

c 1T

d λf

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough solids, liquids, or gases.

b transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 37.Calculate road after 15 s.

a 100m

b 675m

c 600m

d 225m

Question 18 Figure 38 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 28m

b 45m

c 34m

d 12m

y y

y +8/3/16+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.9832

b 0.2667

c 0.7415

d 0.6667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

b v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

c v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

d v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 2.134m

b 1.552m

c 8.100m

d 3.781m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 39) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 2.75

b 0.603

c 11.658

d 0.364

Question 23 In the game �Angry Birds StarWars� (see Fig. 40) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b maximum pull of the slingshot at α = 60◦

c half of the maximum pull of the slingshot atα = 45◦

d maximum pull of the slingshot at α = 30◦

Question 24 At which angle α Luke should beejected (see Fig. 40) to achieve the maximum height?

a α = 45◦

b α = 60◦

c α = 0.5π rad

d α = π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 40) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +8/4/15+ y

Figure 36: Curve representing simple harmonic oscillations

Figure 37: Velocity-time graph

Figure 38: Car motion graph

y y

y +8/5/14+ y

Figure 39: Two pendulums, A and B, in the game �Cut the Rope�

Figure 40: Screenshot from the game �Angry Birds Star Wars�

y y

y +8/6/13+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 7: a b c d

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Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

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Question 16: a b c d

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Question 18: a b c d

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Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +9/1/12+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299 792 458ms−1

b 2.997 924 58× 109 m/s

c 2.997 924 58× 108 ms−1

d 299.792 458Mms−1

Question 2 Average speed, savg, is de�ned as:

a total distance covered covered per unit time:

savg =total distance

∆t

b average velocity per unit time

savg =∆vavg

∆t

c averege velocity of an object

savg = v̄

d average displacement per unit time

savg =∆x

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a j(x)

b f(x)

c h(x)

d g(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 9

b 3

c√

5

d 5

Question 5 The unit of force, expressed in base

SI units is:

a 1 gm s−2

b 1N

c 1 kgm s−2

d 1 lb

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs > ~fk

b ~fs < ~fkc ~fs = −~fkd ~fs = ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2 = 0

b K1 = K2

c K1 = −K2

d K1 < K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = ~F · ~db W = mgh

c W = Fd

d W = Fd · sinφ

y y

y +9/2/11+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100N

b W = −100 J

c W = 0 J

d W = 100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the kinetic energy is equal to 0.

b the potential energy is constant.

c the system is also called �conservative.�

d the sum of kinetic energy and potential energycannot change.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle and is inthe direction of that force.

b the kinetic energy of the particle.

c the net force acting on the particle in the op-posite direction of that force.

d the sum of kinetic and potential energy.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈2m1

m2v1i.

b v2f ≈ −v1i.c v2f ≈ 0.

d v2f ≈ v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 2π radmin−1.

b 60min.

c 6.283 rad h−1.

d 1 rev.

Question 14 The �gure 41 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a π2.

b 0.5.

c 1.5.

d 3π2.

Question 15 The speed of traveling wave v isequal to:

a ωt

b λT

c 1T

d λf

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

c transversal mechanical waves that can travelthrough solids, liquids, or gases.

d longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 42.Calculate road after 15 s.

a 100m

b 225m

c 600m

d 675m

Question 18 Figure 43 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 28m

b 12m

c 34m

d 45m

y y

y +9/3/10+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.6667

b 0.2667

c 0.9832

d 0.7415

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

b v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

c v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

d v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 8.100m

b 3.781m

c 2.134m

d 1.552m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 44) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 2.75

b 0.603

c 0.364

d 11.658

Question 23 In the game �Angry Birds StarWars� (see Fig. 45) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b half of the maximum pull of the slingshot atα = 45◦

c maximum pull of the slingshot at α = 60◦

d maximum pull of the slingshot at α = 30◦

Question 24 At which angle α Luke should beejected (see Fig. 45) to achieve the maximum height?

a α = 60◦

b α = 45◦

c α = 0.5π rad

d α = π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 45) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +9/4/9+ y

Figure 41: Curve representing simple harmonic oscillations

Figure 42: Velocity-time graph

Figure 43: Car motion graph

y y

y +9/5/8+ y

Figure 44: Two pendulums, A and B, in the game �Cut the Rope�

Figure 45: Screenshot from the game �Angry Birds Star Wars�

y y

y +9/6/7+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

Question 3: a b c d

Question 4: a b c d

Question 5: a b c d

Question 6: a b c d

Question 7: a b c d

Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

Question 15: a b c d

Question 16: a b c d

Question 17: a b c d

Question 18: a b c d

Question 19: a b c d

Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +10/1/6+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299 792 458ms−1

b 2.997 924 58× 109 m/s

c 299.792 458Mms−1

d 2.997 924 58× 108 ms−1

Question 2 Average speed, savg, is de�ned as:

a averege velocity of an object

savg = v̄

b average displacement per unit time

savg =∆x

∆t

c total distance covered covered per unit time:

savg =total distance

∆t

d average velocity per unit time

savg =∆vavg

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a j(x)

b f(x)

c h(x)

d g(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 5

b 9

c√

5

d 3

Question 5 The unit of force, expressed in base

SI units is:

a 1 lb

b 1 kgm s−2

c 1 gm s−2

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = −~fkb ~fs > ~fkc ~fs < ~fk

d ~fs = ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2 = 0

b K1 = −K2

c K1 = K2

d K1 < K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd

b W = mgh

c W = ~F · ~dd W = Fd · sinφ

y y

y +10/2/5+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 0 J

b W = 100 J

c W = −100 J

d W = 100N

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the sum of kinetic energy and potential energycannot change.

b the kinetic energy is equal to 0.

c the system is also called �conservative.�

d the potential energy is constant.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the kinetic energy of the particle.

b the sum of kinetic and potential energy.

c the net force acting on the particle in the op-posite direction of that force.

d the net force acting on the particle and is inthe direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ 0.

b v2f ≈2m1

m2v1i.

c v2f ≈ v1i.d v2f ≈ −v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 1 rev.

b 2π radmin−1.

c 6.283 rad h−1.

d 60min.

Question 14 The �gure 46 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a π2.

b 0.5.

c 3π2.

d 1.5.

Question 15 The speed of traveling wave v isequal to:

a 1T

b λT

c λf

d ωt

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough solids, liquids, or gases.

b longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

c transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 47.Calculate road after 15 s.

a 100m

b 225m

c 600m

d 675m

Question 18 Figure 48 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 28m

b 34m

c 12m

d 45m

y y

y +10/3/4+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.6667

b 0.9832

c 0.7415

d 0.2667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

b v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

c v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

d v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 1.552m

b 2.134m

c 3.781m

d 8.100m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 49) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 11.658

b 0.603

c 2.75

d 0.364

Question 23 In the game �Angry Birds StarWars� (see Fig. 50) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b half of the maximum pull of the slingshot atα = 45◦

c maximum pull of the slingshot at α = 30◦

d maximum pull of the slingshot at α = 60◦

Question 24 At which angle α Luke should beejected (see Fig. 50) to achieve the maximum height?

a α = 0.5π rad

b α = 60◦

c α = π rad

d α = 45◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 50) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +10/4/3+ y

Figure 46: Curve representing simple harmonic oscillations

Figure 47: Velocity-time graph

Figure 48: Car motion graph

y y

y +10/5/2+ y

Figure 49: Two pendulums, A and B, in the game �Cut the Rope�

Figure 50: Screenshot from the game �Angry Birds Star Wars�

y y

y +10/6/1+ y

Answers:

Name:

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Question 1: a b c d

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Question 25: a b

y y

y +11/1/60+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299 792 458ms−1

b 2.997 924 58× 109 m/s

c 2.997 924 58× 108 ms−1

d 299.792 458Mms−1

Question 2 Average speed, savg, is de�ned as:

a averege velocity of an object

savg = v̄

b average velocity per unit time

savg =∆vavg

∆t

c total distance covered covered per unit time:

savg =total distance

∆t

d average displacement per unit time

savg =∆x

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a j(x)

b f(x)

c h(x)

d g(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 5

b√

5

c 9

d 3

Question 5 The unit of force, expressed in base

SI units is:

a 1 kgm s−2

b 1 gm s−2

c 1 lb

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs < ~fk

b ~fs = ~fkc ~fs = −~fkd ~fs > ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2

b K1 = K2 = 0

c K1 = −K2

d K1 < K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = ~F · ~db W = Fd · sinφc W = mgh

d W = Fd

y y

y +11/2/59+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 0 J

b W = 100 J

c W = 100N

d W = −100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the sum of kinetic energy and potential energycannot change.

b the kinetic energy is equal to 0.

c the potential energy is constant.

d the system is also called �conservative.�

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle and is inthe direction of that force.

b the kinetic energy of the particle.

c the net force acting on the particle in the op-posite direction of that force.

d the sum of kinetic and potential energy.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ v1i.b v2f ≈ −v1i.c v2f ≈

2m1

m2v1i.

d v2f ≈ 0.

Question 13 What is the angular velocity ω ofa long clock hand?

a 6.283 rad h−1.

b 1 rev.

c 60min.

d 2π radmin−1.

Question 14 The �gure 51 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 1.5.

b π2.

c 0.5.

d 3π2.

Question 15 The speed of traveling wave v isequal to:

a λf

b 1T

c ωt

d λT

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

b transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c transversal mechanical waves that can travelthrough solids, liquids, or gases.

d longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 52.Calculate road after 15 s.

a 225m

b 675m

c 100m

d 600m

Question 18 Figure 53 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 28m

b 12m

c 45m

d 34m

y y

y +11/3/58+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.6667

b 0.7415

c 0.9832

d 0.2667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

b v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

c v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

d v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 8.100m

b 2.134m

c 1.552m

d 3.781m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 54) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 2.75

b 11.658

c 0.603

d 0.364

Question 23 In the game �Angry Birds StarWars� (see Fig. 55) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 60◦

b maximum pull of the slingshot at α = 45◦

c half of the maximum pull of the slingshot atα = 45◦

d maximum pull of the slingshot at α = 30◦

Question 24 At which angle α Luke should beejected (see Fig. 55) to achieve the maximum height?

a α = 60◦

b α = 0.5π rad

c α = π rad

d α = 45◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 55) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +11/4/57+ y

Figure 51: Curve representing simple harmonic oscillations

Figure 52: Velocity-time graph

Figure 53: Car motion graph

y y

y +11/5/56+ y

Figure 54: Two pendulums, A and B, in the game �Cut the Rope�

Figure 55: Screenshot from the game �Angry Birds Star Wars�

y y

y +11/6/55+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

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Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +12/1/54+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299 792 458ms−1

b 299.792 458Mms−1

c 2.997 924 58× 109 m/s

d 2.997 924 58× 108 ms−1

Question 2 Average speed, savg, is de�ned as:

a total distance covered covered per unit time:

savg =total distance

∆t

b averege velocity of an object

savg = v̄

c average velocity per unit time

savg =∆vavg

∆t

d average displacement per unit time

savg =∆x

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a h(x)

b g(x)

c j(x)

d f(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 3

b 9

c 5

d√

5

Question 5 The unit of force, expressed in base

SI units is:

a 1 kgm s−2

b 1 lb

c 1N

d 1 gm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = −~fkb ~fs < ~fkc ~fs > ~fk

d ~fs = ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2 = 0

b K1 = −K2

c K1 = K2

d K1 < K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd

b W = mgh

c W = ~F · ~dd W = Fd · sinφ

y y

y +12/2/53+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100N

b W = −100 J

c W = 100 J

d W = 0 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the potential energy is constant.

b the sum of kinetic energy and potential energycannot change.

c the system is also called �conservative.�

d the kinetic energy is equal to 0.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle and is inthe direction of that force.

b the net force acting on the particle in the op-posite direction of that force.

c the kinetic energy of the particle.

d the sum of kinetic and potential energy.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ 0.

b v2f ≈ v1i.c v2f ≈

2m1

m2v1i.

d v2f ≈ −v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 1 rev.

b 6.283 rad h−1.

c 2π radmin−1.

d 60min.

Question 14 The �gure 56 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 1.5.

b 3π2.

c π2.

d 0.5.

Question 15 The speed of traveling wave v isequal to:

a ωt

b 1T

c λT

d λf

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough solids, liquids, or gases.

b longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 57.Calculate road after 15 s.

a 675m

b 225m

c 100m

d 600m

Question 18 Figure 58 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 45m

b 12m

c 34m

d 28m

y y

y +12/3/52+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.9832

b 0.2667

c 0.7415

d 0.6667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

d v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 8.100m

b 2.134m

c 3.781m

d 1.552m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 59) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 11.658

b 2.75

c 0.603

d 0.364

Question 23 In the game �Angry Birds StarWars� (see Fig. 60) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a half of the maximum pull of the slingshot atα = 45◦

b maximum pull of the slingshot at α = 45◦

c maximum pull of the slingshot at α = 60◦

d maximum pull of the slingshot at α = 30◦

Question 24 At which angle α Luke should beejected (see Fig. 60) to achieve the maximum height?

a α = π rad

b α = 0.5π rad

c α = 45◦

d α = 60◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 60) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +12/4/51+ y

Figure 56: Curve representing simple harmonic oscillations

Figure 57: Velocity-time graph

Figure 58: Car motion graph

y y

y +12/5/50+ y

Figure 59: Two pendulums, A and B, in the game �Cut the Rope�

Figure 60: Screenshot from the game �Angry Birds Star Wars�

y y

y +12/6/49+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 5: a b c d

Question 6: a b c d

Question 7: a b c d

Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

Question 15: a b c d

Question 16: a b c d

Question 17: a b c d

Question 18: a b c d

Question 19: a b c d

Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +13/1/48+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299 792 458ms−1

b 2.997 924 58× 108 ms−1

c 299.792 458Mms−1

d 2.997 924 58× 109 m/s

Question 2 Average speed, savg, is de�ned as:

a average displacement per unit time

savg =∆x

∆t

b averege velocity of an object

savg = v̄

c total distance covered covered per unit time:

savg =total distance

∆t

d average velocity per unit time

savg =∆vavg

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a g(x)

b j(x)

c h(x)

d f(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a√

5

b 5

c 9

d 3

Question 5 The unit of force, expressed in base

SI units is:

a 1 kgm s−2

b 1N

c 1 lb

d 1 gm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs > ~fk

b ~fs = ~fkc ~fs = −~fkd ~fs < ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2 = 0

b K1 < K2

c K1 = K2

d K1 = −K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd · sinφb W = mgh

c W = ~F · ~dd W = Fd

y y

y +13/2/47+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100 J

b W = 100N

c W = 0 J

d W = −100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the system is also called �conservative.�

b the kinetic energy is equal to 0.

c the potential energy is constant.

d the sum of kinetic energy and potential energycannot change.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the sum of kinetic and potential energy.

b the kinetic energy of the particle.

c the net force acting on the particle and is inthe direction of that force.

d the net force acting on the particle in the op-posite direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ v1i.b v2f ≈ −v1i.c v2f ≈ 0.

d v2f ≈2m1

m2v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 60min.

b 2π radmin−1.

c 6.283 rad h−1.

d 1 rev.

Question 14 The �gure 61 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 1.5.

b 3π2.

c π2.

d 0.5.

Question 15 The speed of traveling wave v isequal to:

a λT

b ωt

c λf

d 1T

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b transversal mechanical waves that can travelthrough solids, liquids, or gases.

c longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 62.Calculate road after 15 s.

a 600m

b 100m

c 675m

d 225m

Question 18 Figure 63 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 12m

b 45m

c 28m

d 34m

y y

y +13/3/46+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.2667

b 0.6667

c 0.7415

d 0.9832

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

b v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

c v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

d v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 8.100m

b 3.781m

c 1.552m

d 2.134m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 64) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.603

b 0.364

c 11.658

d 2.75

Question 23 In the game �Angry Birds StarWars� (see Fig. 65) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b half of the maximum pull of the slingshot atα = 45◦

c maximum pull of the slingshot at α = 60◦

d maximum pull of the slingshot at α = 30◦

Question 24 At which angle α Luke should beejected (see Fig. 65) to achieve the maximum height?

a α = π rad

b α = 0.5π rad

c α = 45◦

d α = 60◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 65) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +13/4/45+ y

Figure 61: Curve representing simple harmonic oscillations

Figure 62: Velocity-time graph

Figure 63: Car motion graph

y y

y +13/5/44+ y

Figure 64: Two pendulums, A and B, in the game �Cut the Rope�

Figure 65: Screenshot from the game �Angry Birds Star Wars�

y y

y +13/6/43+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 25: a b

y y

y +14/1/42+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 108 ms−1

b 2.997 924 58× 109 m/s

c 299.792 458Mms−1

d 299 792 458ms−1

Question 2 Average speed, savg, is de�ned as:

a average displacement per unit time

savg =∆x

∆t

b total distance covered covered per unit time:

savg =total distance

∆t

c averege velocity of an object

savg = v̄

d average velocity per unit time

savg =∆vavg

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a h(x)

b g(x)

c j(x)

d f(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 3

b 5

c 9

d√

5

Question 5 The unit of force, expressed in base

SI units is:

a 1 lb

b 1 kgm s−2

c 1 gm s−2

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = ~fk

b ~fs > ~fkc ~fs = −~fkd ~fs < ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2

b K1 = K2 = 0

c K1 < K2

d K1 = −K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd

b W = ~F · ~dc W = Fd · sinφd W = mgh

y y

y +14/2/41+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 0 J

b W = 100 J

c W = −100 J

d W = 100N

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the potential energy is constant.

b the system is also called �conservative.�

c the kinetic energy is equal to 0.

d the sum of kinetic energy and potential energycannot change.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle and is inthe direction of that force.

b the sum of kinetic and potential energy.

c the kinetic energy of the particle.

d the net force acting on the particle in the op-posite direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ 0.

b v2f ≈ −v1i.c v2f ≈ v1i.

d v2f ≈2m1

m2v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 2π radmin−1.

b 6.283 rad h−1.

c 1 rev.

d 60min.

Question 14 The �gure 66 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 0.5.

b 3π2.

c π2.

d 1.5.

Question 15 The speed of traveling wave v isequal to:

a λf

b λT

c 1T

d ωt

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

b transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c transversal mechanical waves that can travelthrough solids, liquids, or gases.

d longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 67.Calculate road after 15 s.

a 100m

b 225m

c 600m

d 675m

Question 18 Figure 68 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 28m

b 34m

c 45m

d 12m

y y

y +14/3/40+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.9832

b 0.6667

c 0.7415

d 0.2667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

b v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

c v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

d v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 1.552m

b 3.781m

c 8.100m

d 2.134m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 69) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 11.658

b 0.364

c 0.603

d 2.75

Question 23 In the game �Angry Birds StarWars� (see Fig. 70) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b maximum pull of the slingshot at α = 30◦

c maximum pull of the slingshot at α = 60◦

d half of the maximum pull of the slingshot atα = 45◦

Question 24 At which angle α Luke should beejected (see Fig. 70) to achieve the maximum height?

a α = 60◦

b α = 45◦

c α = π rad

d α = 0.5π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 70) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +14/4/39+ y

Figure 66: Curve representing simple harmonic oscillations

Figure 67: Velocity-time graph

Figure 68: Car motion graph

y y

y +14/5/38+ y

Figure 69: Two pendulums, A and B, in the game �Cut the Rope�

Figure 70: Screenshot from the game �Angry Birds Star Wars�

y y

y +14/6/37+ y

Answers:

Name:

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Question 1: a b c d

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Question 25: a b

y y

y +15/1/36+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 109 m/s

b 2.997 924 58× 108 ms−1

c 299 792 458ms−1

d 299.792 458Mms−1

Question 2 Average speed, savg, is de�ned as:

a averege velocity of an object

savg = v̄

b average displacement per unit time

savg =∆x

∆t

c total distance covered covered per unit time:

savg =total distance

∆t

d average velocity per unit time

savg =∆vavg

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a g(x)

b f(x)

c h(x)

d j(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 3

b√

5

c 9

d 5

Question 5 The unit of force, expressed in base

SI units is:

a 1N

b 1 lb

c 1 gm s−2

d 1 kgm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs > ~fk

b ~fs = ~fkc ~fs < ~fk

d ~fs = −~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = −K2

b K1 = K2 = 0

c K1 < K2

d K1 = K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = mgh

b W = Fd · sinφc W = ~F · ~dd W = Fd

y y

y +15/2/35+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = −100 J

b W = 0 J

c W = 100 J

d W = 100N

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the kinetic energy is equal to 0.

b the system is also called �conservative.�

c the potential energy is constant.

d the sum of kinetic energy and potential energycannot change.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle in the op-posite direction of that force.

b the net force acting on the particle and is inthe direction of that force.

c the sum of kinetic and potential energy.

d the kinetic energy of the particle.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ 0.

b v2f ≈ −v1i.c v2f ≈ v1i.

d v2f ≈2m1

m2v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 6.283 rad h−1.

b 2π radmin−1.

c 60min.

d 1 rev.

Question 14 The �gure 71 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a π2.

b 3π2.

c 0.5.

d 1.5.

Question 15 The speed of traveling wave v isequal to:

a 1T

b ωt

c λT

d λf

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b transversal mechanical waves that can travelthrough solids, liquids, or gases.

c longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

d transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 72.Calculate road after 15 s.

a 675m

b 600m

c 100m

d 225m

Question 18 Figure 73 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 28m

b 12m

c 34m

d 45m

y y

y +15/3/34+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.7415

b 0.6667

c 0.9832

d 0.2667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

b v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

c v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

d v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 8.100m

b 1.552m

c 2.134m

d 3.781m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 74) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 2.75

b 11.658

c 0.603

d 0.364

Question 23 In the game �Angry Birds StarWars� (see Fig. 75) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 30◦

b half of the maximum pull of the slingshot atα = 45◦

c maximum pull of the slingshot at α = 60◦

d maximum pull of the slingshot at α = 45◦

Question 24 At which angle α Luke should beejected (see Fig. 75) to achieve the maximum height?

a α = 60◦

b α = 45◦

c α = π rad

d α = 0.5π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 75) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +15/4/33+ y

Figure 71: Curve representing simple harmonic oscillations

Figure 72: Velocity-time graph

Figure 73: Car motion graph

y y

y +15/5/32+ y

Figure 74: Two pendulums, A and B, in the game �Cut the Rope�

Figure 75: Screenshot from the game �Angry Birds Star Wars�

y y

y +15/6/31+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 11: a b c d

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Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +16/1/30+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299 792 458ms−1

b 299.792 458Mms−1

c 2.997 924 58× 108 ms−1

d 2.997 924 58× 109 m/s

Question 2 Average speed, savg, is de�ned as:

a average displacement per unit time

savg =∆x

∆t

b averege velocity of an object

savg = v̄

c total distance covered covered per unit time:

savg =total distance

∆t

d average velocity per unit time

savg =∆vavg

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a g(x)

b f(x)

c h(x)

d j(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 3

b 9

c 5

d√

5

Question 5 The unit of force, expressed in base

SI units is:

a 1N

b 1 gm s−2

c 1 kgm s−2

d 1 lb

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs > ~fk

b ~fs = −~fkc ~fs = ~fk

d ~fs < ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 < K2

b K1 = −K2

c K1 = K2 = 0

d K1 = K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd · sinφb W = ~F · ~dc W = Fd

d W = mgh

y y

y +16/2/29+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = −100 J

b W = 0 J

c W = 100N

d W = 100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the kinetic energy is equal to 0.

b the system is also called �conservative.�

c the potential energy is constant.

d the sum of kinetic energy and potential energycannot change.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the kinetic energy of the particle.

b the net force acting on the particle in the op-posite direction of that force.

c the sum of kinetic and potential energy.

d the net force acting on the particle and is inthe direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈2m1

m2v1i.

b v2f ≈ v1i.c v2f ≈ −v1i.d v2f ≈ 0.

Question 13 What is the angular velocity ω ofa long clock hand?

a 1 rev.

b 60min.

c 6.283 rad h−1.

d 2π radmin−1.

Question 14 The �gure 76 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a π2.

b 1.5.

c 0.5.

d 3π2.

Question 15 The speed of traveling wave v isequal to:

a ωt

b λT

c λf

d 1T

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough solids, liquids, or gases.

b longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

c transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 77.Calculate road after 15 s.

a 100m

b 225m

c 675m

d 600m

Question 18 Figure 78 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 34m

b 12m

c 45m

d 28m

y y

y +16/3/28+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.9832

b 0.7415

c 0.6667

d 0.2667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

b v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

c v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

d v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 1.552m

b 2.134m

c 3.781m

d 8.100m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 79) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 11.658

b 0.364

c 2.75

d 0.603

Question 23 In the game �Angry Birds StarWars� (see Fig. 80) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b maximum pull of the slingshot at α = 60◦

c maximum pull of the slingshot at α = 30◦

d half of the maximum pull of the slingshot atα = 45◦

Question 24 At which angle α Luke should beejected (see Fig. 80) to achieve the maximum height?

a α = 0.5π rad

b α = π rad

c α = 60◦

d α = 45◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 80) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +16/4/27+ y

Figure 76: Curve representing simple harmonic oscillations

Figure 77: Velocity-time graph

Figure 78: Car motion graph

y y

y +16/5/26+ y

Figure 79: Two pendulums, A and B, in the game �Cut the Rope�

Figure 80: Screenshot from the game �Angry Birds Star Wars�

y y

y +16/6/25+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 12: a b c d

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Question 22: a b c d

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Question 25: a b

y y

y +17/1/24+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 109 m/s

b 299.792 458Mms−1

c 299 792 458ms−1

d 2.997 924 58× 108 ms−1

Question 2 Average speed, savg, is de�ned as:

a average velocity per unit time

savg =∆vavg

∆t

b average displacement per unit time

savg =∆x

∆t

c averege velocity of an object

savg = v̄

d total distance covered covered per unit time:

savg =total distance

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a h(x)

b j(x)

c g(x)

d f(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a√

5

b 5

c 9

d 3

Question 5 The unit of force, expressed in base

SI units is:

a 1 gm s−2

b 1 kgm s−2

c 1 lb

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs > ~fk

b ~fs < ~fkc ~fs = ~fk

d ~fs = −~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2 = 0

b K1 < K2

c K1 = −K2

d K1 = K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = ~F · ~db W = mgh

c W = Fd

d W = Fd · sinφ

y y

y +17/2/23+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 0 J

b W = 100N

c W = −100 J

d W = 100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the system is also called �conservative.�

b the potential energy is constant.

c the kinetic energy is equal to 0.

d the sum of kinetic energy and potential energycannot change.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle and is inthe direction of that force.

b the kinetic energy of the particle.

c the sum of kinetic and potential energy.

d the net force acting on the particle in the op-posite direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ −v1i.b v2f ≈ 0.

c v2f ≈2m1

m2v1i.

d v2f ≈ v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 1 rev.

b 2π radmin−1.

c 60min.

d 6.283 rad h−1.

Question 14 The �gure 81 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 1.5.

b π2.

c 3π2.

d 0.5.

Question 15 The speed of traveling wave v isequal to:

a λf

b ωt

c λT

d 1T

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough solids, liquids, or gases.

b transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

d longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 82.Calculate road after 15 s.

a 225m

b 600m

c 100m

d 675m

Question 18 Figure 83 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 34m

b 45m

c 12m

d 28m

y y

y +17/3/22+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.7415

b 0.6667

c 0.9832

d 0.2667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

b v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

c v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

d v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 2.134m

b 3.781m

c 1.552m

d 8.100m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 84) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.364

b 2.75

c 11.658

d 0.603

Question 23 In the game �Angry Birds StarWars� (see Fig. 85) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b maximum pull of the slingshot at α = 30◦

c maximum pull of the slingshot at α = 60◦

d half of the maximum pull of the slingshot atα = 45◦

Question 24 At which angle α Luke should beejected (see Fig. 85) to achieve the maximum height?

a α = 0.5π rad

b α = 60◦

c α = π rad

d α = 45◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 85) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +17/4/21+ y

Figure 81: Curve representing simple harmonic oscillations

Figure 82: Velocity-time graph

Figure 83: Car motion graph

y y

y +17/5/20+ y

Figure 84: Two pendulums, A and B, in the game �Cut the Rope�

Figure 85: Screenshot from the game �Angry Birds Star Wars�

y y

y +17/6/19+ y

Answers:

Name:

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Question 1: a b c d

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Question 25: a b

y y

y +18/1/18+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 109 m/s

b 299 792 458ms−1

c 2.997 924 58× 108 ms−1

d 299.792 458Mms−1

Question 2 Average speed, savg, is de�ned as:

a average displacement per unit time

savg =∆x

∆t

b averege velocity of an object

savg = v̄

c average velocity per unit time

savg =∆vavg

∆t

d total distance covered covered per unit time:

savg =total distance

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a j(x)

b h(x)

c g(x)

d f(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 5

b 9

c 3

d√

5

Question 5 The unit of force, expressed in base

SI units is:

a 1 lb

b 1 gm s−2

c 1 kgm s−2

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = ~fk

b ~fs < ~fkc ~fs = −~fkd ~fs > ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2 = 0

b K1 = −K2

c K1 < K2

d K1 = K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = mgh

b W = Fd

c W = Fd · sinφd W = ~F · ~d

y y

y +18/2/17+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 0 J

b W = 100 J

c W = −100 J

d W = 100N

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the sum of kinetic energy and potential energycannot change.

b the system is also called �conservative.�

c the kinetic energy is equal to 0.

d the potential energy is constant.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the kinetic energy of the particle.

b the net force acting on the particle in the op-posite direction of that force.

c the net force acting on the particle and is inthe direction of that force.

d the sum of kinetic and potential energy.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ 0.

b v2f ≈ −v1i.c v2f ≈

2m1

m2v1i.

d v2f ≈ v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 2π radmin−1.

b 1 rev.

c 60min.

d 6.283 rad h−1.

Question 14 The �gure 86 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 3π2.

b π2.

c 0.5.

d 1.5.

Question 15 The speed of traveling wave v isequal to:

a ωt

b λT

c 1T

d λf

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

b transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d transversal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 87.Calculate road after 15 s.

a 600m

b 675m

c 225m

d 100m

Question 18 Figure 88 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 12m

b 45m

c 34m

d 28m

y y

y +18/3/16+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.9832

b 0.7415

c 0.6667

d 0.2667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

d v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 8.100m

b 2.134m

c 3.781m

d 1.552m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 89) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 2.75

b 0.603

c 0.364

d 11.658

Question 23 In the game �Angry Birds StarWars� (see Fig. 90) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 60◦

b maximum pull of the slingshot at α = 30◦

c half of the maximum pull of the slingshot atα = 45◦

d maximum pull of the slingshot at α = 45◦

Question 24 At which angle α Luke should beejected (see Fig. 90) to achieve the maximum height?

a α = 45◦

b α = 0.5π rad

c α = π rad

d α = 60◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 90) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +18/4/15+ y

Figure 86: Curve representing simple harmonic oscillations

Figure 87: Velocity-time graph

Figure 88: Car motion graph

y y

y +18/5/14+ y

Figure 89: Two pendulums, A and B, in the game �Cut the Rope�

Figure 90: Screenshot from the game �Angry Birds Star Wars�

y y

y +18/6/13+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 6: a b c d

Question 7: a b c d

Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

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Question 16: a b c d

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Question 18: a b c d

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Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +19/1/12+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299.792 458Mms−1

b 2.997 924 58× 108 ms−1

c 2.997 924 58× 109 m/s

d 299 792 458ms−1

Question 2 Average speed, savg, is de�ned as:

a total distance covered covered per unit time:

savg =total distance

∆t

b average velocity per unit time

savg =∆vavg

∆t

c average displacement per unit time

savg =∆x

∆t

d averege velocity of an object

savg = v̄

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a f(x)

b j(x)

c g(x)

d h(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 3

b 9

c√

5

d 5

Question 5 The unit of force, expressed in base

SI units is:

a 1N

b 1 kgm s−2

c 1 gm s−2

d 1 lb

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs < ~fk

b ~fs = ~fkc ~fs > ~fk

d ~fs = −~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2 = 0

b K1 = −K2

c K1 = K2

d K1 < K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd · sinφb W = ~F · ~dc W = Fd

d W = mgh

y y

y +19/2/11+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = −100 J

b W = 0 J

c W = 100N

d W = 100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the sum of kinetic energy and potential energycannot change.

b the kinetic energy is equal to 0.

c the potential energy is constant.

d the system is also called �conservative.�

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle in the op-posite direction of that force.

b the sum of kinetic and potential energy.

c the net force acting on the particle and is inthe direction of that force.

d the kinetic energy of the particle.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ −v1i.b v2f ≈ v1i.c v2f ≈ 0.

d v2f ≈2m1

m2v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 60min.

b 1 rev.

c 6.283 rad h−1.

d 2π radmin−1.

Question 14 The �gure 91 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 3π2.

b π2.

c 0.5.

d 1.5.

Question 15 The speed of traveling wave v isequal to:

a λT

b 1T

c ωt

d λf

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

b transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c transversal mechanical waves that can travelthrough solids, liquids, or gases.

d longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 92.Calculate road after 15 s.

a 600m

b 225m

c 675m

d 100m

Question 18 Figure 93 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 45m

b 12m

c 34m

d 28m

y y

y +19/3/10+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.7415

b 0.6667

c 0.9832

d 0.2667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

b v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

c v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

d v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 8.100m

b 2.134m

c 3.781m

d 1.552m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 94) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 2.75

b 11.658

c 0.364

d 0.603

Question 23 In the game �Angry Birds StarWars� (see Fig. 95) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 30◦

b half of the maximum pull of the slingshot atα = 45◦

c maximum pull of the slingshot at α = 45◦

d maximum pull of the slingshot at α = 60◦

Question 24 At which angle α Luke should beejected (see Fig. 95) to achieve the maximum height?

a α = 45◦

b α = π rad

c α = 60◦

d α = 0.5π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 95) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +19/4/9+ y

Figure 91: Curve representing simple harmonic oscillations

Figure 92: Velocity-time graph

Figure 93: Car motion graph

y y

y +19/5/8+ y

Figure 94: Two pendulums, A and B, in the game �Cut the Rope�

Figure 95: Screenshot from the game �Angry Birds Star Wars�

y y

y +19/6/7+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

Question 3: a b c d

Question 4: a b c d

Question 5: a b c d

Question 6: a b c d

Question 7: a b c d

Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

Question 15: a b c d

Question 16: a b c d

Question 17: a b c d

Question 18: a b c d

Question 19: a b c d

Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +20/1/6+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 108 ms−1

b 299 792 458ms−1

c 299.792 458Mms−1

d 2.997 924 58× 109 m/s

Question 2 Average speed, savg, is de�ned as:

a average displacement per unit time

savg =∆x

∆t

b average velocity per unit time

savg =∆vavg

∆t

c total distance covered covered per unit time:

savg =total distance

∆t

d averege velocity of an object

savg = v̄

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a h(x)

b f(x)

c g(x)

d j(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 5

b 9

c√

5

d 3

Question 5 The unit of force, expressed in base

SI units is:

a 1 gm s−2

b 1 lb

c 1 kgm s−2

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs < ~fk

b ~fs > ~fkc ~fs = ~fk

d ~fs = −~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = −K2

b K1 = K2 = 0

c K1 < K2

d K1 = K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd

b W = Fd · sinφc W = ~F · ~dd W = mgh

y y

y +20/2/5+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100 J

b W = 100N

c W = −100 J

d W = 0 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the kinetic energy is equal to 0.

b the sum of kinetic energy and potential energycannot change.

c the system is also called �conservative.�

d the potential energy is constant.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the kinetic energy of the particle.

b the sum of kinetic and potential energy.

c the net force acting on the particle and is inthe direction of that force.

d the net force acting on the particle in the op-posite direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ v1i.b v2f ≈ −v1i.c v2f ≈

2m1

m2v1i.

d v2f ≈ 0.

Question 13 What is the angular velocity ω ofa long clock hand?

a 1 rev.

b 6.283 rad h−1.

c 60min.

d 2π radmin−1.

Question 14 The �gure 96 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 0.5.

b 1.5.

c 3π2.

d π2.

Question 15 The speed of traveling wave v isequal to:

a ωt

b λT

c λf

d 1T

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

b transversal mechanical waves that can travelthrough solids, liquids, or gases.

c longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 97.Calculate road after 15 s.

a 675m

b 225m

c 100m

d 600m

Question 18 Figure 98 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 34m

b 12m

c 45m

d 28m

y y

y +20/3/4+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.9832

b 0.6667

c 0.7415

d 0.2667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

d v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 3.781m

b 1.552m

c 8.100m

d 2.134m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 99) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 2.75

b 11.658

c 0.364

d 0.603

Question 23 In the game �Angry Birds StarWars� (see Fig. 100) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b half of the maximum pull of the slingshot atα = 45◦

c maximum pull of the slingshot at α = 30◦

d maximum pull of the slingshot at α = 60◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 100) to achieve the maximumheight?

a α = 45◦

b α = 0.5π rad

c α = 60◦

d α = π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 100) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +20/4/3+ y

Figure 96: Curve representing simple harmonic oscillations

Figure 97: Velocity-time graph

Figure 98: Car motion graph

y y

y +20/5/2+ y

Figure 99: Two pendulums, A and B, in the game �Cut the Rope�

Figure 100: Screenshot from the game �Angry Birds Star Wars�

y y

y +20/6/1+ y

Answers:

Name:

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Question 1: a b c d

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Question 23: a b c d

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Question 25: a b

y y

y +21/1/60+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299.792 458Mms−1

b 2.997 924 58× 108 ms−1

c 299 792 458ms−1

d 2.997 924 58× 109 m/s

Question 2 Average speed, savg, is de�ned as:

a average velocity per unit time

savg =∆vavg

∆t

b average displacement per unit time

savg =∆x

∆t

c total distance covered covered per unit time:

savg =total distance

∆t

d averege velocity of an object

savg = v̄

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a h(x)

b j(x)

c g(x)

d f(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 5

b√

5

c 3

d 9

Question 5 The unit of force, expressed in base

SI units is:

a 1 kgm s−2

b 1N

c 1 gm s−2

d 1 lb

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs > ~fk

b ~fs < ~fkc ~fs = ~fk

d ~fs = −~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = −K2

b K1 = K2 = 0

c K1 < K2

d K1 = K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = ~F · ~db W = Fd

c W = mgh

d W = Fd · sinφ

y y

y +21/2/59+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100N

b W = 0 J

c W = 100 J

d W = −100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the sum of kinetic energy and potential energycannot change.

b the kinetic energy is equal to 0.

c the potential energy is constant.

d the system is also called �conservative.�

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the kinetic energy of the particle.

b the net force acting on the particle in the op-posite direction of that force.

c the net force acting on the particle and is inthe direction of that force.

d the sum of kinetic and potential energy.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ 0.

b v2f ≈ −v1i.c v2f ≈

2m1

m2v1i.

d v2f ≈ v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 6.283 rad h−1.

b 60min.

c 1 rev.

d 2π radmin−1.

Question 14 The �gure 101 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 0.5.

b 1.5.

c 3π2.

d π2.

Question 15 The speed of traveling wave v isequal to:

a 1T

b λf

c λT

d ωt

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c transversal mechanical waves that can travelthrough solids, liquids, or gases.

d longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 102.Calculate road after 15 s.

a 675m

b 225m

c 600m

d 100m

Question 18 Figure 103 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 34m

b 28m

c 12m

d 45m

y y

y +21/3/58+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.6667

b 0.2667

c 0.7415

d 0.9832

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

d v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 3.781m

b 2.134m

c 8.100m

d 1.552m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 104) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.603

b 2.75

c 0.364

d 11.658

Question 23 In the game �Angry Birds StarWars� (see Fig. 105) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 30◦

b half of the maximum pull of the slingshot atα = 45◦

c maximum pull of the slingshot at α = 45◦

d maximum pull of the slingshot at α = 60◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 105) to achieve the maximumheight?

a α = 0.5π rad

b α = π rad

c α = 60◦

d α = 45◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 105) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +21/4/57+ y

Figure 101: Curve representing simple harmonic oscillations

Figure 102: Velocity-time graph

Figure 103: Car motion graph

y y

y +21/5/56+ y

Figure 104: Two pendulums, A and B, in the game �Cut the Rope�

Figure 105: Screenshot from the game �Angry Birds Star Wars�

y y

y +21/6/55+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 5: a b c d

Question 6: a b c d

Question 7: a b c d

Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

Question 15: a b c d

Question 16: a b c d

Question 17: a b c d

Question 18: a b c d

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Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +22/1/54+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 109 m/s

b 2.997 924 58× 108 ms−1

c 299 792 458ms−1

d 299.792 458Mms−1

Question 2 Average speed, savg, is de�ned as:

a average displacement per unit time

savg =∆x

∆t

b average velocity per unit time

savg =∆vavg

∆t

c averege velocity of an object

savg = v̄

d total distance covered covered per unit time:

savg =total distance

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a f(x)

b h(x)

c g(x)

d j(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 3

b 9

c 5

d√

5

Question 5 The unit of force, expressed in base

SI units is:

a 1 kgm s−2

b 1 lb

c 1 gm s−2

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = ~fk

b ~fs < ~fkc ~fs > ~fk

d ~fs = −~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2

b K1 = K2 = 0

c K1 < K2

d K1 = −K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd

b W = Fd · sinφc W = mgh

d W = ~F · ~d

y y

y +22/2/53+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100 J

b W = 0 J

c W = 100N

d W = −100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the kinetic energy is equal to 0.

b the sum of kinetic energy and potential energycannot change.

c the system is also called �conservative.�

d the potential energy is constant.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle in the op-posite direction of that force.

b the net force acting on the particle and is inthe direction of that force.

c the sum of kinetic and potential energy.

d the kinetic energy of the particle.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ −v1i.

b v2f ≈2m1

m2v1i.

c v2f ≈ v1i.d v2f ≈ 0.

Question 13 What is the angular velocity ω ofa long clock hand?

a 60min.

b 2π radmin−1.

c 6.283 rad h−1.

d 1 rev.

Question 14 The �gure 106 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a π2.

b 1.5.

c 3π2.

d 0.5.

Question 15 The speed of traveling wave v isequal to:

a λT

b 1T

c λf

d ωt

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b transversal mechanical waves that can travelthrough solids, liquids, or gases.

c transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 107.Calculate road after 15 s.

a 100m

b 600m

c 225m

d 675m

Question 18 Figure 108 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 28m

b 34m

c 12m

d 45m

y y

y +22/3/52+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.2667

b 0.7415

c 0.9832

d 0.6667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

d v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 2.134m

b 8.100m

c 1.552m

d 3.781m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 109) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 2.75

b 11.658

c 0.603

d 0.364

Question 23 In the game �Angry Birds StarWars� (see Fig. 110) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b maximum pull of the slingshot at α = 60◦

c half of the maximum pull of the slingshot atα = 45◦

d maximum pull of the slingshot at α = 30◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 110) to achieve the maximumheight?

a α = 60◦

b α = 45◦

c α = π rad

d α = 0.5π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 110) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +22/4/51+ y

Figure 106: Curve representing simple harmonic oscillations

Figure 107: Velocity-time graph

Figure 108: Car motion graph

y y

y +22/5/50+ y

Figure 109: Two pendulums, A and B, in the game �Cut the Rope�

Figure 110: Screenshot from the game �Angry Birds Star Wars�

y y

y +22/6/49+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

Question 3: a b c d

Question 4: a b c d

Question 5: a b c d

Question 6: a b c d

Question 7: a b c d

Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

Question 15: a b c d

Question 16: a b c d

Question 17: a b c d

Question 18: a b c d

Question 19: a b c d

Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +23/1/48+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299.792 458Mms−1

b 2.997 924 58× 108 ms−1

c 2.997 924 58× 109 m/s

d 299 792 458ms−1

Question 2 Average speed, savg, is de�ned as:

a average velocity per unit time

savg =∆vavg

∆t

b total distance covered covered per unit time:

savg =total distance

∆t

c average displacement per unit time

savg =∆x

∆t

d averege velocity of an object

savg = v̄

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a f(x)

b g(x)

c j(x)

d h(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a√

5

b 3

c 5

d 9

Question 5 The unit of force, expressed in base

SI units is:

a 1 gm s−2

b 1N

c 1 kgm s−2

d 1 lb

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs < ~fk

b ~fs = ~fkc ~fs = −~fkd ~fs > ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2 = 0

b K1 = K2

c K1 = −K2

d K1 < K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd · sinφb W = ~F · ~dc W = mgh

d W = Fd

y y

y +23/2/47+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100 J

b W = −100 J

c W = 0 J

d W = 100N

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the sum of kinetic energy and potential energycannot change.

b the kinetic energy is equal to 0.

c the potential energy is constant.

d the system is also called �conservative.�

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle in the op-posite direction of that force.

b the sum of kinetic and potential energy.

c the net force acting on the particle and is inthe direction of that force.

d the kinetic energy of the particle.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ 0.

b v2f ≈ −v1i.c v2f ≈

2m1

m2v1i.

d v2f ≈ v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 1 rev.

b 60min.

c 2π radmin−1.

d 6.283 rad h−1.

Question 14 The �gure 111 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 0.5.

b π2.

c 3π2.

d 1.5.

Question 15 The speed of traveling wave v isequal to:

a 1T

b ωt

c λT

d λf

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

b transversal mechanical waves that can travelthrough solids, liquids, or gases.

c transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 112.Calculate road after 15 s.

a 100m

b 600m

c 225m

d 675m

Question 18 Figure 113 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 45m

b 34m

c 28m

d 12m

y y

y +23/3/46+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.6667

b 0.9832

c 0.7415

d 0.2667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

d v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 8.100m

b 1.552m

c 3.781m

d 2.134m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 114) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 2.75

b 11.658

c 0.364

d 0.603

Question 23 In the game �Angry Birds StarWars� (see Fig. 115) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 30◦

b maximum pull of the slingshot at α = 60◦

c maximum pull of the slingshot at α = 45◦

d half of the maximum pull of the slingshot atα = 45◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 115) to achieve the maximumheight?

a α = 60◦

b α = 45◦

c α = 0.5π rad

d α = π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 115) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +23/4/45+ y

Figure 111: Curve representing simple harmonic oscillations

Figure 112: Velocity-time graph

Figure 113: Car motion graph

y y

y +23/5/44+ y

Figure 114: Two pendulums, A and B, in the game �Cut the Rope�

Figure 115: Screenshot from the game �Angry Birds Star Wars�

y y

y +23/6/43+ y

Answers:

Name:

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Question 1: a b c d

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Question 25: a b

y y

y +24/1/42+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 108 ms−1

b 299.792 458Mms−1

c 2.997 924 58× 109 m/s

d 299 792 458ms−1

Question 2 Average speed, savg, is de�ned as:

a average velocity per unit time

savg =∆vavg

∆t

b total distance covered covered per unit time:

savg =total distance

∆t

c average displacement per unit time

savg =∆x

∆t

d averege velocity of an object

savg = v̄

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a g(x)

b f(x)

c j(x)

d h(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 5

b√

5

c 3

d 9

Question 5 The unit of force, expressed in base

SI units is:

a 1 lb

b 1 gm s−2

c 1N

d 1 kgm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = ~fk

b ~fs < ~fkc ~fs > ~fk

d ~fs = −~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 < K2

b K1 = K2

c K1 = K2 = 0

d K1 = −K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = ~F · ~db W = Fd · sinφc W = mgh

d W = Fd

y y

y +24/2/41+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 0 J

b W = 100N

c W = −100 J

d W = 100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the kinetic energy is equal to 0.

b the potential energy is constant.

c the system is also called �conservative.�

d the sum of kinetic energy and potential energycannot change.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle and is inthe direction of that force.

b the kinetic energy of the particle.

c the net force acting on the particle in the op-posite direction of that force.

d the sum of kinetic and potential energy.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ v1i.b v2f ≈ −v1i.c v2f ≈ 0.

d v2f ≈2m1

m2v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 2π radmin−1.

b 60min.

c 6.283 rad h−1.

d 1 rev.

Question 14 The �gure 116 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 1.5.

b π2.

c 3π2.

d 0.5.

Question 15 The speed of traveling wave v isequal to:

a λT

b ωt

c 1T

d λf

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c transversal mechanical waves that can travelthrough solids, liquids, or gases.

d longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 117.Calculate road after 15 s.

a 675m

b 225m

c 100m

d 600m

Question 18 Figure 118 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 28m

b 34m

c 45m

d 12m

y y

y +24/3/40+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.7415

b 0.6667

c 0.2667

d 0.9832

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

d v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 8.100m

b 3.781m

c 2.134m

d 1.552m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 119) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.603

b 11.658

c 2.75

d 0.364

Question 23 In the game �Angry Birds StarWars� (see Fig. 120) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b half of the maximum pull of the slingshot atα = 45◦

c maximum pull of the slingshot at α = 30◦

d maximum pull of the slingshot at α = 60◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 120) to achieve the maximumheight?

a α = 60◦

b α = π rad

c α = 45◦

d α = 0.5π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 120) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +24/4/39+ y

Figure 116: Curve representing simple harmonic oscillations

Figure 117: Velocity-time graph

Figure 118: Car motion graph

y y

y +24/5/38+ y

Figure 119: Two pendulums, A and B, in the game �Cut the Rope�

Figure 120: Screenshot from the game �Angry Birds Star Wars�

y y

y +24/6/37+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

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Question 25: a b

y y

y +25/1/36+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299 792 458ms−1

b 2.997 924 58× 109 m/s

c 299.792 458Mms−1

d 2.997 924 58× 108 ms−1

Question 2 Average speed, savg, is de�ned as:

a total distance covered covered per unit time:

savg =total distance

∆t

b averege velocity of an object

savg = v̄

c average displacement per unit time

savg =∆x

∆t

d average velocity per unit time

savg =∆vavg

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a f(x)

b g(x)

c j(x)

d h(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 5

b√

5

c 3

d 9

Question 5 The unit of force, expressed in base

SI units is:

a 1 lb

b 1 kgm s−2

c 1N

d 1 gm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = −~fkb ~fs < ~fkc ~fs = ~fk

d ~fs > ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = −K2

b K1 = K2

c K1 = K2 = 0

d K1 < K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = mgh

b W = Fd

c W = ~F · ~dd W = Fd · sinφ

y y

y +25/2/35+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 0 J

b W = −100 J

c W = 100 J

d W = 100N

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the system is also called �conservative.�

b the kinetic energy is equal to 0.

c the potential energy is constant.

d the sum of kinetic energy and potential energycannot change.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the sum of kinetic and potential energy.

b the net force acting on the particle and is inthe direction of that force.

c the kinetic energy of the particle.

d the net force acting on the particle in the op-posite direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈2m1

m2v1i.

b v2f ≈ 0.

c v2f ≈ v1i.d v2f ≈ −v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 2π radmin−1.

b 60min.

c 6.283 rad h−1.

d 1 rev.

Question 14 The �gure 121 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a π2.

b 1.5.

c 0.5.

d 3π2.

Question 15 The speed of traveling wave v isequal to:

a λT

b λf

c 1T

d ωt

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c transversal mechanical waves that can travelthrough solids, liquids, or gases.

d longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 122.Calculate road after 15 s.

a 225m

b 100m

c 600m

d 675m

Question 18 Figure 123 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 45m

b 28m

c 34m

d 12m

y y

y +25/3/34+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.2667

b 0.6667

c 0.9832

d 0.7415

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

d v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 2.134m

b 8.100m

c 1.552m

d 3.781m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 124) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.364

b 11.658

c 0.603

d 2.75

Question 23 In the game �Angry Birds StarWars� (see Fig. 125) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 60◦

b maximum pull of the slingshot at α = 30◦

c maximum pull of the slingshot at α = 45◦

d half of the maximum pull of the slingshot atα = 45◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 125) to achieve the maximumheight?

a α = 60◦

b α = 0.5π rad

c α = 45◦

d α = π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 125) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +25/4/33+ y

Figure 121: Curve representing simple harmonic oscillations

Figure 122: Velocity-time graph

Figure 123: Car motion graph

y y

y +25/5/32+ y

Figure 124: Two pendulums, A and B, in the game �Cut the Rope�

Figure 125: Screenshot from the game �Angry Birds Star Wars�

y y

y +25/6/31+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 5: a b c d

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Question 7: a b c d

Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

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Question 16: a b c d

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Question 18: a b c d

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Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +26/1/30+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 108 ms−1

b 299.792 458Mms−1

c 299 792 458ms−1

d 2.997 924 58× 109 m/s

Question 2 Average speed, savg, is de�ned as:

a average displacement per unit time

savg =∆x

∆t

b average velocity per unit time

savg =∆vavg

∆t

c averege velocity of an object

savg = v̄

d total distance covered covered per unit time:

savg =total distance

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a g(x)

b j(x)

c h(x)

d f(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 3

b 9

c√

5

d 5

Question 5 The unit of force, expressed in base

SI units is:

a 1 lb

b 1 gm s−2

c 1 kgm s−2

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs < ~fk

b ~fs > ~fkc ~fs = ~fk

d ~fs = −~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2 = 0

b K1 = K2

c K1 < K2

d K1 = −K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd

b W = Fd · sinφc W = ~F · ~dd W = mgh

y y

y +26/2/29+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = −100 J

b W = 100 J

c W = 0 J

d W = 100N

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the system is also called �conservative.�

b the sum of kinetic energy and potential energycannot change.

c the potential energy is constant.

d the kinetic energy is equal to 0.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the sum of kinetic and potential energy.

b the net force acting on the particle in the op-posite direction of that force.

c the net force acting on the particle and is inthe direction of that force.

d the kinetic energy of the particle.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ v1i.b v2f ≈ 0.

c v2f ≈ −v1i.

d v2f ≈2m1

m2v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 1 rev.

b 2π radmin−1.

c 6.283 rad h−1.

d 60min.

Question 14 The �gure 126 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 0.5.

b 1.5.

c π2.

d 3π2.

Question 15 The speed of traveling wave v isequal to:

a λf

b 1T

c λT

d ωt

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

c longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d transversal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 127.Calculate road after 15 s.

a 600m

b 675m

c 100m

d 225m

Question 18 Figure 128 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 45m

b 28m

c 34m

d 12m

y y

y +26/3/28+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.6667

b 0.7415

c 0.2667

d 0.9832

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

d v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 1.552m

b 3.781m

c 8.100m

d 2.134m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 129) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 11.658

b 0.603

c 0.364

d 2.75

Question 23 In the game �Angry Birds StarWars� (see Fig. 130) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b maximum pull of the slingshot at α = 60◦

c half of the maximum pull of the slingshot atα = 45◦

d maximum pull of the slingshot at α = 30◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 130) to achieve the maximumheight?

a α = 45◦

b α = 60◦

c α = π rad

d α = 0.5π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 130) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +26/4/27+ y

Figure 126: Curve representing simple harmonic oscillations

Figure 127: Velocity-time graph

Figure 128: Car motion graph

y y

y +26/5/26+ y

Figure 129: Two pendulums, A and B, in the game �Cut the Rope�

Figure 130: Screenshot from the game �Angry Birds Star Wars�

y y

y +26/6/25+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

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Question 25: a b

y y

y +27/1/24+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 109 m/s

b 2.997 924 58× 108 ms−1

c 299 792 458ms−1

d 299.792 458Mms−1

Question 2 Average speed, savg, is de�ned as:

a total distance covered covered per unit time:

savg =total distance

∆t

b averege velocity of an object

savg = v̄

c average displacement per unit time

savg =∆x

∆t

d average velocity per unit time

savg =∆vavg

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a h(x)

b f(x)

c g(x)

d j(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 3

b 5

c√

5

d 9

Question 5 The unit of force, expressed in base

SI units is:

a 1 lb

b 1 kgm s−2

c 1 gm s−2

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = ~fk

b ~fs > ~fkc ~fs = −~fkd ~fs < ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2

b K1 = K2 = 0

c K1 < K2

d K1 = −K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd

b W = ~F · ~dc W = Fd · sinφd W = mgh

y y

y +27/2/23+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 0 J

b W = 100N

c W = −100 J

d W = 100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the kinetic energy is equal to 0.

b the potential energy is constant.

c the system is also called �conservative.�

d the sum of kinetic energy and potential energycannot change.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle in the op-posite direction of that force.

b the net force acting on the particle and is inthe direction of that force.

c the kinetic energy of the particle.

d the sum of kinetic and potential energy.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈2m1

m2v1i.

b v2f ≈ v1i.c v2f ≈ 0.

d v2f ≈ −v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 6.283 rad h−1.

b 60min.

c 2π radmin−1.

d 1 rev.

Question 14 The �gure 131 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 3π2.

b 0.5.

c 1.5.

d π2.

Question 15 The speed of traveling wave v isequal to:

a λT

b 1T

c λf

d ωt

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

c transversal mechanical waves that can travelthrough solids, liquids, or gases.

d longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 132.Calculate road after 15 s.

a 225m

b 675m

c 600m

d 100m

Question 18 Figure 133 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 28m

b 12m

c 45m

d 34m

y y

y +27/3/22+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.9832

b 0.7415

c 0.6667

d 0.2667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

b v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

c v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

d v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 3.781m

b 2.134m

c 1.552m

d 8.100m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 134) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.603

b 0.364

c 11.658

d 2.75

Question 23 In the game �Angry Birds StarWars� (see Fig. 135) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 30◦

b maximum pull of the slingshot at α = 45◦

c half of the maximum pull of the slingshot atα = 45◦

d maximum pull of the slingshot at α = 60◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 135) to achieve the maximumheight?

a α = 60◦

b α = 0.5π rad

c α = 45◦

d α = π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 135) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +27/4/21+ y

Figure 131: Curve representing simple harmonic oscillations

Figure 132: Velocity-time graph

Figure 133: Car motion graph

y y

y +27/5/20+ y

Figure 134: Two pendulums, A and B, in the game �Cut the Rope�

Figure 135: Screenshot from the game �Angry Birds Star Wars�

y y

y +27/6/19+ y

Answers:

Name:

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Question 25: a b

y y

y +28/1/18+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299.792 458Mms−1

b 2.997 924 58× 108 ms−1

c 299 792 458ms−1

d 2.997 924 58× 109 m/s

Question 2 Average speed, savg, is de�ned as:

a averege velocity of an object

savg = v̄

b total distance covered covered per unit time:

savg =total distance

∆t

c average velocity per unit time

savg =∆vavg

∆t

d average displacement per unit time

savg =∆x

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a j(x)

b g(x)

c f(x)

d h(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 3

b√

5

c 9

d 5

Question 5 The unit of force, expressed in base

SI units is:

a 1N

b 1 kgm s−2

c 1 gm s−2

d 1 lb

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs < ~fk

b ~fs = −~fkc ~fs = ~fk

d ~fs > ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2

b K1 = K2 = 0

c K1 = −K2

d K1 < K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd

b W = Fd · sinφc W = mgh

d W = ~F · ~d

y y

y +28/2/17+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 0 J

b W = 100N

c W = −100 J

d W = 100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the sum of kinetic energy and potential energycannot change.

b the kinetic energy is equal to 0.

c the potential energy is constant.

d the system is also called �conservative.�

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle and is inthe direction of that force.

b the net force acting on the particle in the op-posite direction of that force.

c the sum of kinetic and potential energy.

d the kinetic energy of the particle.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈2m1

m2v1i.

b v2f ≈ −v1i.c v2f ≈ v1i.d v2f ≈ 0.

Question 13 What is the angular velocity ω ofa long clock hand?

a 2π radmin−1.

b 6.283 rad h−1.

c 1 rev.

d 60min.

Question 14 The �gure 136 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 1.5.

b π2.

c 3π2.

d 0.5.

Question 15 The speed of traveling wave v isequal to:

a λT

b ωt

c λf

d 1T

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c transversal mechanical waves that can travelthrough solids, liquids, or gases.

d longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 137.Calculate road after 15 s.

a 100m

b 675m

c 600m

d 225m

Question 18 Figure 138 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 34m

b 45m

c 28m

d 12m

y y

y +28/3/16+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.7415

b 0.6667

c 0.2667

d 0.9832

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

b v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

c v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

d v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 1.552m

b 3.781m

c 2.134m

d 8.100m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 139) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 2.75

b 0.603

c 11.658

d 0.364

Question 23 In the game �Angry Birds StarWars� (see Fig. 140) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 30◦

b maximum pull of the slingshot at α = 60◦

c maximum pull of the slingshot at α = 45◦

d half of the maximum pull of the slingshot atα = 45◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 140) to achieve the maximumheight?

a α = 45◦

b α = π rad

c α = 0.5π rad

d α = 60◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 140) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +28/4/15+ y

Figure 136: Curve representing simple harmonic oscillations

Figure 137: Velocity-time graph

Figure 138: Car motion graph

y y

y +28/5/14+ y

Figure 139: Two pendulums, A and B, in the game �Cut the Rope�

Figure 140: Screenshot from the game �Angry Birds Star Wars�

y y

y +28/6/13+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

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Question 25: a b

y y

y +29/1/12+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299 792 458ms−1

b 299.792 458Mms−1

c 2.997 924 58× 109 m/s

d 2.997 924 58× 108 ms−1

Question 2 Average speed, savg, is de�ned as:

a averege velocity of an object

savg = v̄

b average velocity per unit time

savg =∆vavg

∆t

c average displacement per unit time

savg =∆x

∆t

d total distance covered covered per unit time:

savg =total distance

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a j(x)

b g(x)

c h(x)

d f(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a√

5

b 5

c 3

d 9

Question 5 The unit of force, expressed in base

SI units is:

a 1 kgm s−2

b 1 gm s−2

c 1 lb

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = −~fkb ~fs > ~fkc ~fs < ~fk

d ~fs = ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 < K2

b K1 = K2 = 0

c K1 = K2

d K1 = −K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd · sinφb W = mgh

c W = ~F · ~dd W = Fd

y y

y +29/2/11+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = −100 J

b W = 100N

c W = 0 J

d W = 100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the potential energy is constant.

b the sum of kinetic energy and potential energycannot change.

c the system is also called �conservative.�

d the kinetic energy is equal to 0.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle and is inthe direction of that force.

b the net force acting on the particle in the op-posite direction of that force.

c the kinetic energy of the particle.

d the sum of kinetic and potential energy.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ −v1i.b v2f ≈ 0.

c v2f ≈ v1i.

d v2f ≈2m1

m2v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 6.283 rad h−1.

b 60min.

c 1 rev.

d 2π radmin−1.

Question 14 The �gure 141 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a π2.

b 1.5.

c 3π2.

d 0.5.

Question 15 The speed of traveling wave v isequal to:

a λf

b 1T

c ωt

d λT

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough solids, liquids, or gases.

b longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 142.Calculate road after 15 s.

a 600m

b 675m

c 225m

d 100m

Question 18 Figure 143 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 34m

b 12m

c 28m

d 45m

y y

y +29/3/10+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.6667

b 0.2667

c 0.7415

d 0.9832

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

b v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

c v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

d v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 8.100m

b 2.134m

c 1.552m

d 3.781m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 144) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 2.75

b 0.364

c 11.658

d 0.603

Question 23 In the game �Angry Birds StarWars� (see Fig. 145) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a half of the maximum pull of the slingshot atα = 45◦

b maximum pull of the slingshot at α = 30◦

c maximum pull of the slingshot at α = 45◦

d maximum pull of the slingshot at α = 60◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 145) to achieve the maximumheight?

a α = 45◦

b α = π rad

c α = 60◦

d α = 0.5π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 145) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +29/4/9+ y

Figure 141: Curve representing simple harmonic oscillations

Figure 142: Velocity-time graph

Figure 143: Car motion graph

y y

y +29/5/8+ y

Figure 144: Two pendulums, A and B, in the game �Cut the Rope�

Figure 145: Screenshot from the game �Angry Birds Star Wars�

y y

y +29/6/7+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

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y y

y +30/1/6+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299.792 458Mms−1

b 2.997 924 58× 108 ms−1

c 299 792 458ms−1

d 2.997 924 58× 109 m/s

Question 2 Average speed, savg, is de�ned as:

a total distance covered covered per unit time:

savg =total distance

∆t

b average displacement per unit time

savg =∆x

∆t

c averege velocity of an object

savg = v̄

d average velocity per unit time

savg =∆vavg

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a g(x)

b f(x)

c h(x)

d j(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a√

5

b 9

c 5

d 3

Question 5 The unit of force, expressed in base

SI units is:

a 1 gm s−2

b 1 kgm s−2

c 1N

d 1 lb

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = −~fkb ~fs = ~fkc ~fs > ~fk

d ~fs < ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = −K2

b K1 < K2

c K1 = K2 = 0

d K1 = K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = mgh

b W = ~F · ~dc W = Fd · sinφd W = Fd

y y

y +30/2/5+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 0 J

b W = 100N

c W = −100 J

d W = 100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the potential energy is constant.

b the sum of kinetic energy and potential energycannot change.

c the kinetic energy is equal to 0.

d the system is also called �conservative.�

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle and is inthe direction of that force.

b the kinetic energy of the particle.

c the sum of kinetic and potential energy.

d the net force acting on the particle in the op-posite direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ −v1i.b v2f ≈ 0.

c v2f ≈2m1

m2v1i.

d v2f ≈ v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 6.283 rad h−1.

b 1 rev.

c 2π radmin−1.

d 60min.

Question 14 The �gure 146 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 0.5.

b 3π2.

c π2.

d 1.5.

Question 15 The speed of traveling wave v isequal to:

a 1T

b λT

c ωt

d λf

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

c transversal mechanical waves that can travelthrough solids, liquids, or gases.

d longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 147.Calculate road after 15 s.

a 600m

b 100m

c 225m

d 675m

Question 18 Figure 148 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 12m

b 34m

c 45m

d 28m

y y

y +30/3/4+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.7415

b 0.2667

c 0.9832

d 0.6667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

b v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

c v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

d v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 8.100m

b 1.552m

c 2.134m

d 3.781m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 149) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 11.658

b 0.364

c 2.75

d 0.603

Question 23 In the game �Angry Birds StarWars� (see Fig. 150) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a half of the maximum pull of the slingshot atα = 45◦

b maximum pull of the slingshot at α = 30◦

c maximum pull of the slingshot at α = 60◦

d maximum pull of the slingshot at α = 45◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 150) to achieve the maximumheight?

a α = 60◦

b α = 45◦

c α = π rad

d α = 0.5π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 150) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +30/4/3+ y

Figure 146: Curve representing simple harmonic oscillations

Figure 147: Velocity-time graph

Figure 148: Car motion graph

y y

y +30/5/2+ y

Figure 149: Two pendulums, A and B, in the game �Cut the Rope�

Figure 150: Screenshot from the game �Angry Birds Star Wars�

y y

y +30/6/1+ y

Answers:

Name:

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Question 1: a b c d

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Question 25: a b

y y

y +31/1/60+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 108 ms−1

b 299 792 458ms−1

c 299.792 458Mms−1

d 2.997 924 58× 109 m/s

Question 2 Average speed, savg, is de�ned as:

a average velocity per unit time

savg =∆vavg

∆t

b averege velocity of an object

savg = v̄

c average displacement per unit time

savg =∆x

∆t

d total distance covered covered per unit time:

savg =total distance

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a j(x)

b h(x)

c f(x)

d g(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 5

b 9

c√

5

d 3

Question 5 The unit of force, expressed in base

SI units is:

a 1 lb

b 1N

c 1 kgm s−2

d 1 gm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = ~fk

b ~fs > ~fkc ~fs < ~fk

d ~fs = −~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2

b K1 = −K2

c K1 < K2

d K1 = K2 = 0

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd · sinφb W = Fd

c W = ~F · ~dd W = mgh

y y

y +31/2/59+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = −100 J

b W = 100 J

c W = 0 J

d W = 100N

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the potential energy is constant.

b the system is also called �conservative.�

c the sum of kinetic energy and potential energycannot change.

d the kinetic energy is equal to 0.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the kinetic energy of the particle.

b the net force acting on the particle and is inthe direction of that force.

c the net force acting on the particle in the op-posite direction of that force.

d the sum of kinetic and potential energy.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ −v1i.b v2f ≈ 0.

c v2f ≈ v1i.

d v2f ≈2m1

m2v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 60min.

b 2π radmin−1.

c 6.283 rad h−1.

d 1 rev.

Question 14 The �gure 151 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 3π2.

b 1.5.

c π2.

d 0.5.

Question 15 The speed of traveling wave v isequal to:

a λf

b ωt

c λT

d 1T

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

b transversal mechanical waves that can travelthrough solids, liquids, or gases.

c transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 152.Calculate road after 15 s.

a 675m

b 225m

c 600m

d 100m

Question 18 Figure 153 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 45m

b 12m

c 28m

d 34m

y y

y +31/3/58+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.7415

b 0.2667

c 0.9832

d 0.6667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

b v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

c v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

d v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 3.781m

b 8.100m

c 1.552m

d 2.134m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 154) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.603

b 0.364

c 11.658

d 2.75

Question 23 In the game �Angry Birds StarWars� (see Fig. 155) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a half of the maximum pull of the slingshot atα = 45◦

b maximum pull of the slingshot at α = 60◦

c maximum pull of the slingshot at α = 45◦

d maximum pull of the slingshot at α = 30◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 155) to achieve the maximumheight?

a α = 0.5π rad

b α = 45◦

c α = 60◦

d α = π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 155) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +31/4/57+ y

Figure 151: Curve representing simple harmonic oscillations

Figure 152: Velocity-time graph

Figure 153: Car motion graph

y y

y +31/5/56+ y

Figure 154: Two pendulums, A and B, in the game �Cut the Rope�

Figure 155: Screenshot from the game �Angry Birds Star Wars�

y y

y +31/6/55+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

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Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +32/1/54+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 108 ms−1

b 299.792 458Mms−1

c 299 792 458ms−1

d 2.997 924 58× 109 m/s

Question 2 Average speed, savg, is de�ned as:

a averege velocity of an object

savg = v̄

b average velocity per unit time

savg =∆vavg

∆t

c total distance covered covered per unit time:

savg =total distance

∆t

d average displacement per unit time

savg =∆x

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a f(x)

b h(x)

c g(x)

d j(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a√

5

b 9

c 5

d 3

Question 5 The unit of force, expressed in base

SI units is:

a 1 lb

b 1 gm s−2

c 1N

d 1 kgm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs > ~fk

b ~fs = −~fkc ~fs = ~fk

d ~fs < ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 < K2

b K1 = −K2

c K1 = K2

d K1 = K2 = 0

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd · sinφb W = Fd

c W = mgh

d W = ~F · ~d

y y

y +32/2/53+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100 J

b W = 0 J

c W = 100N

d W = −100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the potential energy is constant.

b the sum of kinetic energy and potential energycannot change.

c the kinetic energy is equal to 0.

d the system is also called �conservative.�

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle in the op-posite direction of that force.

b the kinetic energy of the particle.

c the sum of kinetic and potential energy.

d the net force acting on the particle and is inthe direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ −v1i.

b v2f ≈2m1

m2v1i.

c v2f ≈ 0.

d v2f ≈ v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 6.283 rad h−1.

b 2π radmin−1.

c 60min.

d 1 rev.

Question 14 The �gure 156 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a π2.

b 1.5.

c 0.5.

d 3π2.

Question 15 The speed of traveling wave v isequal to:

a 1T

b λT

c ωt

d λf

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

b transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d transversal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 157.Calculate road after 15 s.

a 675m

b 100m

c 600m

d 225m

Question 18 Figure 158 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 12m

b 34m

c 45m

d 28m

y y

y +32/3/52+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.7415

b 0.2667

c 0.9832

d 0.6667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

b v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

c v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

d v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 3.781m

b 2.134m

c 8.100m

d 1.552m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 159) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 2.75

b 0.364

c 11.658

d 0.603

Question 23 In the game �Angry Birds StarWars� (see Fig. 160) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b half of the maximum pull of the slingshot atα = 45◦

c maximum pull of the slingshot at α = 30◦

d maximum pull of the slingshot at α = 60◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 160) to achieve the maximumheight?

a α = 0.5π rad

b α = π rad

c α = 60◦

d α = 45◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 160) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +32/4/51+ y

Figure 156: Curve representing simple harmonic oscillations

Figure 157: Velocity-time graph

Figure 158: Car motion graph

y y

y +32/5/50+ y

Figure 159: Two pendulums, A and B, in the game �Cut the Rope�

Figure 160: Screenshot from the game �Angry Birds Star Wars�

y y

y +32/6/49+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

Question 3: a b c d

Question 4: a b c d

Question 5: a b c d

Question 6: a b c d

Question 7: a b c d

Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

Question 15: a b c d

Question 16: a b c d

Question 17: a b c d

Question 18: a b c d

Question 19: a b c d

Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +33/1/48+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299 792 458ms−1

b 2.997 924 58× 108 ms−1

c 2.997 924 58× 109 m/s

d 299.792 458Mms−1

Question 2 Average speed, savg, is de�ned as:

a average displacement per unit time

savg =∆x

∆t

b total distance covered covered per unit time:

savg =total distance

∆t

c average velocity per unit time

savg =∆vavg

∆t

d averege velocity of an object

savg = v̄

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a g(x)

b h(x)

c f(x)

d j(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 5

b 3

c√

5

d 9

Question 5 The unit of force, expressed in base

SI units is:

a 1 kgm s−2

b 1N

c 1 lb

d 1 gm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = ~fk

b ~fs > ~fkc ~fs = −~fkd ~fs < ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2

b K1 = K2 = 0

c K1 < K2

d K1 = −K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd

b W = ~F · ~dc W = mgh

d W = Fd · sinφ

y y

y +33/2/47+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 0 J

b W = −100 J

c W = 100N

d W = 100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the sum of kinetic energy and potential energycannot change.

b the potential energy is constant.

c the kinetic energy is equal to 0.

d the system is also called �conservative.�

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle and is inthe direction of that force.

b the kinetic energy of the particle.

c the sum of kinetic and potential energy.

d the net force acting on the particle in the op-posite direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈2m1

m2v1i.

b v2f ≈ v1i.c v2f ≈ −v1i.d v2f ≈ 0.

Question 13 What is the angular velocity ω ofa long clock hand?

a 6.283 rad h−1.

b 1 rev.

c 60min.

d 2π radmin−1.

Question 14 The �gure 161 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 0.5.

b 1.5.

c π2.

d 3π2.

Question 15 The speed of traveling wave v isequal to:

a λf

b 1T

c λT

d ωt

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b transversal mechanical waves that can travelthrough solids, liquids, or gases.

c longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

d transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 162.Calculate road after 15 s.

a 600m

b 100m

c 675m

d 225m

Question 18 Figure 163 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 28m

b 45m

c 34m

d 12m

y y

y +33/3/46+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.6667

b 0.9832

c 0.7415

d 0.2667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

b v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

c v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

d v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 2.134m

b 3.781m

c 1.552m

d 8.100m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 164) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 11.658

b 0.603

c 0.364

d 2.75

Question 23 In the game �Angry Birds StarWars� (see Fig. 165) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a half of the maximum pull of the slingshot atα = 45◦

b maximum pull of the slingshot at α = 45◦

c maximum pull of the slingshot at α = 60◦

d maximum pull of the slingshot at α = 30◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 165) to achieve the maximumheight?

a α = π rad

b α = 0.5π rad

c α = 45◦

d α = 60◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 165) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +33/4/45+ y

Figure 161: Curve representing simple harmonic oscillations

Figure 162: Velocity-time graph

Figure 163: Car motion graph

y y

y +33/5/44+ y

Figure 164: Two pendulums, A and B, in the game �Cut the Rope�

Figure 165: Screenshot from the game �Angry Birds Star Wars�

y y

y +33/6/43+ y

Answers:

Name:

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Question 1: a b c d

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Question 25: a b

y y

y +34/1/42+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 109 m/s

b 299 792 458ms−1

c 2.997 924 58× 108 ms−1

d 299.792 458Mms−1

Question 2 Average speed, savg, is de�ned as:

a averege velocity of an object

savg = v̄

b total distance covered covered per unit time:

savg =total distance

∆t

c average velocity per unit time

savg =∆vavg

∆t

d average displacement per unit time

savg =∆x

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a h(x)

b g(x)

c f(x)

d j(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a√

5

b 9

c 5

d 3

Question 5 The unit of force, expressed in base

SI units is:

a 1 lb

b 1 kgm s−2

c 1 gm s−2

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = ~fk

b ~fs > ~fkc ~fs = −~fkd ~fs < ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2

b K1 = K2 = 0

c K1 < K2

d K1 = −K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = mgh

b W = ~F · ~dc W = Fd · sinφd W = Fd

y y

y +34/2/41+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100 J

b W = 0 J

c W = −100 J

d W = 100N

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the kinetic energy is equal to 0.

b the sum of kinetic energy and potential energycannot change.

c the potential energy is constant.

d the system is also called �conservative.�

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle in the op-posite direction of that force.

b the sum of kinetic and potential energy.

c the kinetic energy of the particle.

d the net force acting on the particle and is inthe direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ −v1i.b v2f ≈ v1i.c v2f ≈

2m1

m2v1i.

d v2f ≈ 0.

Question 13 What is the angular velocity ω ofa long clock hand?

a 6.283 rad h−1.

b 1 rev.

c 60min.

d 2π radmin−1.

Question 14 The �gure 166 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 0.5.

b 1.5.

c 3π2.

d π2.

Question 15 The speed of traveling wave v isequal to:

a λT

b λf

c 1T

d ωt

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

d transversal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 167.Calculate road after 15 s.

a 600m

b 225m

c 100m

d 675m

Question 18 Figure 168 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 28m

b 45m

c 12m

d 34m

y y

y +34/3/40+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.7415

b 0.6667

c 0.2667

d 0.9832

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

b v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

c v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

d v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 8.100m

b 2.134m

c 1.552m

d 3.781m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 169) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.364

b 0.603

c 11.658

d 2.75

Question 23 In the game �Angry Birds StarWars� (see Fig. 170) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b maximum pull of the slingshot at α = 60◦

c half of the maximum pull of the slingshot atα = 45◦

d maximum pull of the slingshot at α = 30◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 170) to achieve the maximumheight?

a α = π rad

b α = 0.5π rad

c α = 60◦

d α = 45◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 170) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +34/4/39+ y

Figure 166: Curve representing simple harmonic oscillations

Figure 167: Velocity-time graph

Figure 168: Car motion graph

y y

y +34/5/38+ y

Figure 169: Two pendulums, A and B, in the game �Cut the Rope�

Figure 170: Screenshot from the game �Angry Birds Star Wars�

y y

y +34/6/37+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 4: a b c d

Question 5: a b c d

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Question 7: a b c d

Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

Question 15: a b c d

Question 16: a b c d

Question 17: a b c d

Question 18: a b c d

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Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +35/1/36+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299 792 458ms−1

b 299.792 458Mms−1

c 2.997 924 58× 108 ms−1

d 2.997 924 58× 109 m/s

Question 2 Average speed, savg, is de�ned as:

a average displacement per unit time

savg =∆x

∆t

b averege velocity of an object

savg = v̄

c total distance covered covered per unit time:

savg =total distance

∆t

d average velocity per unit time

savg =∆vavg

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a j(x)

b g(x)

c h(x)

d f(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 9

b 3

c 5

d√

5

Question 5 The unit of force, expressed in base

SI units is:

a 1 gm s−2

b 1 lb

c 1 kgm s−2

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs < ~fk

b ~fs = ~fkc ~fs = −~fkd ~fs > ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2 = 0

b K1 = −K2

c K1 = K2

d K1 < K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = mgh

b W = Fd

c W = ~F · ~dd W = Fd · sinφ

y y

y +35/2/35+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100 J

b W = 0 J

c W = −100 J

d W = 100N

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the system is also called �conservative.�

b the potential energy is constant.

c the sum of kinetic energy and potential energycannot change.

d the kinetic energy is equal to 0.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle in the op-posite direction of that force.

b the sum of kinetic and potential energy.

c the kinetic energy of the particle.

d the net force acting on the particle and is inthe direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈2m1

m2v1i.

b v2f ≈ 0.

c v2f ≈ v1i.d v2f ≈ −v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 6.283 rad h−1.

b 60min.

c 1 rev.

d 2π radmin−1.

Question 14 The �gure 171 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 1.5.

b π2.

c 0.5.

d 3π2.

Question 15 The speed of traveling wave v isequal to:

a 1T

b ωt

c λT

d λf

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c transversal mechanical waves that can travelthrough solids, liquids, or gases.

d longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 172.Calculate road after 15 s.

a 675m

b 225m

c 600m

d 100m

Question 18 Figure 173 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 28m

b 34m

c 12m

d 45m

y y

y +35/3/34+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.7415

b 0.6667

c 0.9832

d 0.2667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

d v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 2.134m

b 8.100m

c 3.781m

d 1.552m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 174) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.364

b 11.658

c 0.603

d 2.75

Question 23 In the game �Angry Birds StarWars� (see Fig. 175) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a half of the maximum pull of the slingshot atα = 45◦

b maximum pull of the slingshot at α = 60◦

c maximum pull of the slingshot at α = 30◦

d maximum pull of the slingshot at α = 45◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 175) to achieve the maximumheight?

a α = 60◦

b α = 45◦

c α = 0.5π rad

d α = π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 175) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +35/4/33+ y

Figure 171: Curve representing simple harmonic oscillations

Figure 172: Velocity-time graph

Figure 173: Car motion graph

y y

y +35/5/32+ y

Figure 174: Two pendulums, A and B, in the game �Cut the Rope�

Figure 175: Screenshot from the game �Angry Birds Star Wars�

y y

y +35/6/31+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

Question 3: a b c d

Question 4: a b c d

Question 5: a b c d

Question 6: a b c d

Question 7: a b c d

Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

Question 15: a b c d

Question 16: a b c d

Question 17: a b c d

Question 18: a b c d

Question 19: a b c d

Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +36/1/30+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299.792 458Mms−1

b 2.997 924 58× 109 m/s

c 299 792 458ms−1

d 2.997 924 58× 108 ms−1

Question 2 Average speed, savg, is de�ned as:

a average displacement per unit time

savg =∆x

∆t

b total distance covered covered per unit time:

savg =total distance

∆t

c averege velocity of an object

savg = v̄

d average velocity per unit time

savg =∆vavg

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a j(x)

b h(x)

c g(x)

d f(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 3

b 5

c√

5

d 9

Question 5 The unit of force, expressed in base

SI units is:

a 1 kgm s−2

b 1 gm s−2

c 1 lb

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = −~fkb ~fs > ~fkc ~fs < ~fk

d ~fs = ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 < K2

b K1 = K2

c K1 = K2 = 0

d K1 = −K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = ~F · ~db W = Fd · sinφc W = mgh

d W = Fd

y y

y +36/2/29+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 0 J

b W = 100N

c W = 100 J

d W = −100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the kinetic energy is equal to 0.

b the system is also called �conservative.�

c the potential energy is constant.

d the sum of kinetic energy and potential energycannot change.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle in the op-posite direction of that force.

b the net force acting on the particle and is inthe direction of that force.

c the sum of kinetic and potential energy.

d the kinetic energy of the particle.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ 0.

b v2f ≈2m1

m2v1i.

c v2f ≈ −v1i.d v2f ≈ v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 1 rev.

b 60min.

c 6.283 rad h−1.

d 2π radmin−1.

Question 14 The �gure 176 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 1.5.

b π2.

c 3π2.

d 0.5.

Question 15 The speed of traveling wave v isequal to:

a 1T

b λT

c λf

d ωt

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

c transversal mechanical waves that can travelthrough solids, liquids, or gases.

d longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 177.Calculate road after 15 s.

a 225m

b 675m

c 100m

d 600m

Question 18 Figure 178 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 12m

b 28m

c 45m

d 34m

y y

y +36/3/28+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.7415

b 0.6667

c 0.2667

d 0.9832

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

b v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

c v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

d v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 2.134m

b 8.100m

c 3.781m

d 1.552m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 179) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 2.75

b 11.658

c 0.364

d 0.603

Question 23 In the game �Angry Birds StarWars� (see Fig. 180) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 30◦

b maximum pull of the slingshot at α = 60◦

c maximum pull of the slingshot at α = 45◦

d half of the maximum pull of the slingshot atα = 45◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 180) to achieve the maximumheight?

a α = π rad

b α = 0.5π rad

c α = 45◦

d α = 60◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 180) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +36/4/27+ y

Figure 176: Curve representing simple harmonic oscillations

Figure 177: Velocity-time graph

Figure 178: Car motion graph

y y

y +36/5/26+ y

Figure 179: Two pendulums, A and B, in the game �Cut the Rope�

Figure 180: Screenshot from the game �Angry Birds Star Wars�

y y

y +36/6/25+ y

Answers:

Name:

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Question 1: a b c d

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Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

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Question 21: a b c d

Question 22: a b c d

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Question 25: a b

y y

y +37/1/24+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 109 m/s

b 2.997 924 58× 108 ms−1

c 299.792 458Mms−1

d 299 792 458ms−1

Question 2 Average speed, savg, is de�ned as:

a average velocity per unit time

savg =∆vavg

∆t

b total distance covered covered per unit time:

savg =total distance

∆t

c average displacement per unit time

savg =∆x

∆t

d averege velocity of an object

savg = v̄

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a f(x)

b j(x)

c h(x)

d g(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 3

b√

5

c 9

d 5

Question 5 The unit of force, expressed in base

SI units is:

a 1 gm s−2

b 1N

c 1 lb

d 1 kgm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = ~fk

b ~fs < ~fkc ~fs = −~fkd ~fs > ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = −K2

b K1 = K2

c K1 < K2

d K1 = K2 = 0

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd · sinφb W = Fd

c W = mgh

d W = ~F · ~d

y y

y +37/2/23+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100N

b W = 0 J

c W = 100 J

d W = −100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the kinetic energy is equal to 0.

b the system is also called �conservative.�

c the sum of kinetic energy and potential energycannot change.

d the potential energy is constant.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle and is inthe direction of that force.

b the kinetic energy of the particle.

c the net force acting on the particle in the op-posite direction of that force.

d the sum of kinetic and potential energy.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ −v1i.b v2f ≈ v1i.c v2f ≈

2m1

m2v1i.

d v2f ≈ 0.

Question 13 What is the angular velocity ω ofa long clock hand?

a 1 rev.

b 2π radmin−1.

c 6.283 rad h−1.

d 60min.

Question 14 The �gure 181 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a π2.

b 1.5.

c 0.5.

d 3π2.

Question 15 The speed of traveling wave v isequal to:

a ωt

b 1T

c λT

d λf

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c transversal mechanical waves that can travelthrough solids, liquids, or gases.

d longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 182.Calculate road after 15 s.

a 225m

b 100m

c 675m

d 600m

Question 18 Figure 183 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 12m

b 45m

c 34m

d 28m

y y

y +37/3/22+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.2667

b 0.7415

c 0.6667

d 0.9832

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

b v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

c v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

d v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 1.552m

b 2.134m

c 8.100m

d 3.781m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 184) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.364

b 0.603

c 11.658

d 2.75

Question 23 In the game �Angry Birds StarWars� (see Fig. 185) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 60◦

b maximum pull of the slingshot at α = 30◦

c maximum pull of the slingshot at α = 45◦

d half of the maximum pull of the slingshot atα = 45◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 185) to achieve the maximumheight?

a α = π rad

b α = 45◦

c α = 0.5π rad

d α = 60◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 185) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +37/4/21+ y

Figure 181: Curve representing simple harmonic oscillations

Figure 182: Velocity-time graph

Figure 183: Car motion graph

y y

y +37/5/20+ y

Figure 184: Two pendulums, A and B, in the game �Cut the Rope�

Figure 185: Screenshot from the game �Angry Birds Star Wars�

y y

y +37/6/19+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 6: a b c d

Question 7: a b c d

Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

Question 15: a b c d

Question 16: a b c d

Question 17: a b c d

Question 18: a b c d

Question 19: a b c d

Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +38/1/18+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299.792 458Mms−1

b 299 792 458ms−1

c 2.997 924 58× 108 ms−1

d 2.997 924 58× 109 m/s

Question 2 Average speed, savg, is de�ned as:

a averege velocity of an object

savg = v̄

b total distance covered covered per unit time:

savg =total distance

∆t

c average displacement per unit time

savg =∆x

∆t

d average velocity per unit time

savg =∆vavg

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a h(x)

b j(x)

c f(x)

d g(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 5

b 3

c√

5

d 9

Question 5 The unit of force, expressed in base

SI units is:

a 1N

b 1 kgm s−2

c 1 lb

d 1 gm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = −~fkb ~fs > ~fkc ~fs < ~fk

d ~fs = ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = −K2

b K1 = K2 = 0

c K1 = K2

d K1 < K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = ~F · ~db W = mgh

c W = Fd

d W = Fd · sinφ

y y

y +38/2/17+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 0 J

b W = 100 J

c W = 100N

d W = −100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the kinetic energy is equal to 0.

b the potential energy is constant.

c the system is also called �conservative.�

d the sum of kinetic energy and potential energycannot change.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the sum of kinetic and potential energy.

b the net force acting on the particle in the op-posite direction of that force.

c the kinetic energy of the particle.

d the net force acting on the particle and is inthe direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ 0.

b v2f ≈ v1i.c v2f ≈

2m1

m2v1i.

d v2f ≈ −v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 1 rev.

b 60min.

c 2π radmin−1.

d 6.283 rad h−1.

Question 14 The �gure 186 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 0.5.

b π2.

c 3π2.

d 1.5.

Question 15 The speed of traveling wave v isequal to:

a λf

b 1T

c λT

d ωt

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

d transversal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 187.Calculate road after 15 s.

a 225m

b 100m

c 600m

d 675m

Question 18 Figure 188 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 45m

b 12m

c 28m

d 34m

y y

y +38/3/16+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.6667

b 0.7415

c 0.2667

d 0.9832

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

d v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 2.134m

b 8.100m

c 3.781m

d 1.552m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 189) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.364

b 11.658

c 2.75

d 0.603

Question 23 In the game �Angry Birds StarWars� (see Fig. 190) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 60◦

b maximum pull of the slingshot at α = 30◦

c maximum pull of the slingshot at α = 45◦

d half of the maximum pull of the slingshot atα = 45◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 190) to achieve the maximumheight?

a α = 45◦

b α = 0.5π rad

c α = 60◦

d α = π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 190) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +38/4/15+ y

Figure 186: Curve representing simple harmonic oscillations

Figure 187: Velocity-time graph

Figure 188: Car motion graph

y y

y +38/5/14+ y

Figure 189: Two pendulums, A and B, in the game �Cut the Rope�

Figure 190: Screenshot from the game �Angry Birds Star Wars�

y y

y +38/6/13+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

Question 3: a b c d

Question 4: a b c d

Question 5: a b c d

Question 6: a b c d

Question 7: a b c d

Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

Question 15: a b c d

Question 16: a b c d

Question 17: a b c d

Question 18: a b c d

Question 19: a b c d

Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +39/1/12+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 109 m/s

b 299 792 458ms−1

c 299.792 458Mms−1

d 2.997 924 58× 108 ms−1

Question 2 Average speed, savg, is de�ned as:

a average velocity per unit time

savg =∆vavg

∆t

b average displacement per unit time

savg =∆x

∆t

c averege velocity of an object

savg = v̄

d total distance covered covered per unit time:

savg =total distance

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a h(x)

b j(x)

c f(x)

d g(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 3

b 9

c 5

d√

5

Question 5 The unit of force, expressed in base

SI units is:

a 1N

b 1 kgm s−2

c 1 gm s−2

d 1 lb

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs < ~fk

b ~fs > ~fkc ~fs = ~fk

d ~fs = −~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2 = 0

b K1 < K2

c K1 = −K2

d K1 = K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = ~F · ~db W = Fd

c W = Fd · sinφd W = mgh

y y

y +39/2/11+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 0 J

b W = −100 J

c W = 100N

d W = 100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the system is also called �conservative.�

b the kinetic energy is equal to 0.

c the potential energy is constant.

d the sum of kinetic energy and potential energycannot change.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the sum of kinetic and potential energy.

b the net force acting on the particle and is inthe direction of that force.

c the kinetic energy of the particle.

d the net force acting on the particle in the op-posite direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈2m1

m2v1i.

b v2f ≈ v1i.c v2f ≈ 0.

d v2f ≈ −v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 2π radmin−1.

b 60min.

c 6.283 rad h−1.

d 1 rev.

Question 14 The �gure 191 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 3π2.

b 1.5.

c 0.5.

d π2.

Question 15 The speed of traveling wave v isequal to:

a ωt

b λf

c λT

d 1T

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

b transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d transversal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 192.Calculate road after 15 s.

a 675m

b 600m

c 100m

d 225m

Question 18 Figure 193 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 12m

b 28m

c 45m

d 34m

y y

y +39/3/10+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.6667

b 0.7415

c 0.9832

d 0.2667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

d v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 8.100m

b 3.781m

c 2.134m

d 1.552m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 194) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 11.658

b 0.603

c 0.364

d 2.75

Question 23 In the game �Angry Birds StarWars� (see Fig. 195) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b half of the maximum pull of the slingshot atα = 45◦

c maximum pull of the slingshot at α = 60◦

d maximum pull of the slingshot at α = 30◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 195) to achieve the maximumheight?

a α = π rad

b α = 45◦

c α = 60◦

d α = 0.5π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 195) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +39/4/9+ y

Figure 191: Curve representing simple harmonic oscillations

Figure 192: Velocity-time graph

Figure 193: Car motion graph

y y

y +39/5/8+ y

Figure 194: Two pendulums, A and B, in the game �Cut the Rope�

Figure 195: Screenshot from the game �Angry Birds Star Wars�

y y

y +39/6/7+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

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Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +40/1/6+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 108 ms−1

b 299 792 458ms−1

c 299.792 458Mms−1

d 2.997 924 58× 109 m/s

Question 2 Average speed, savg, is de�ned as:

a average displacement per unit time

savg =∆x

∆t

b average velocity per unit time

savg =∆vavg

∆t

c averege velocity of an object

savg = v̄

d total distance covered covered per unit time:

savg =total distance

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a h(x)

b f(x)

c g(x)

d j(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 5

b 3

c 9

d√

5

Question 5 The unit of force, expressed in base

SI units is:

a 1 gm s−2

b 1 lb

c 1 kgm s−2

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs > ~fk

b ~fs = ~fkc ~fs = −~fkd ~fs < ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2 = 0

b K1 < K2

c K1 = −K2

d K1 = K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd · sinφb W = ~F · ~dc W = Fd

d W = mgh

y y

y +40/2/5+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100 J

b W = −100 J

c W = 0 J

d W = 100N

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the potential energy is constant.

b the system is also called �conservative.�

c the kinetic energy is equal to 0.

d the sum of kinetic energy and potential energycannot change.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle in the op-posite direction of that force.

b the sum of kinetic and potential energy.

c the net force acting on the particle and is inthe direction of that force.

d the kinetic energy of the particle.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈2m1

m2v1i.

b v2f ≈ −v1i.c v2f ≈ v1i.d v2f ≈ 0.

Question 13 What is the angular velocity ω ofa long clock hand?

a 2π radmin−1.

b 6.283 rad h−1.

c 60min.

d 1 rev.

Question 14 The �gure 196 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 3π2.

b 1.5.

c π2.

d 0.5.

Question 15 The speed of traveling wave v isequal to:

a ωt

b λf

c 1T

d λT

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

c transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d transversal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 197.Calculate road after 15 s.

a 100m

b 675m

c 225m

d 600m

Question 18 Figure 198 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 45m

b 34m

c 12m

d 28m

y y

y +40/3/4+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.2667

b 0.6667

c 0.7415

d 0.9832

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

b v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

c v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

d v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 3.781m

b 2.134m

c 1.552m

d 8.100m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 199) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.364

b 11.658

c 0.603

d 2.75

Question 23 In the game �Angry Birds StarWars� (see Fig. 200) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 60◦

b half of the maximum pull of the slingshot atα = 45◦

c maximum pull of the slingshot at α = 30◦

d maximum pull of the slingshot at α = 45◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 200) to achieve the maximumheight?

a α = π rad

b α = 0.5π rad

c α = 60◦

d α = 45◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 200) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +40/4/3+ y

Figure 196: Curve representing simple harmonic oscillations

Figure 197: Velocity-time graph

Figure 198: Car motion graph

y y

y +40/5/2+ y

Figure 199: Two pendulums, A and B, in the game �Cut the Rope�

Figure 200: Screenshot from the game �Angry Birds Star Wars�

y y

y +40/6/1+ y

Answers:

Name:

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Question 1: a b c d

Question 2: a b c d

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Question 11: a b c d

Question 12: a b c d

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Question 18: a b c d

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Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

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Question 25: a b

y y

y +41/1/60+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 109 m/s

b 299 792 458ms−1

c 299.792 458Mms−1

d 2.997 924 58× 108 ms−1

Question 2 Average speed, savg, is de�ned as:

a average velocity per unit time

savg =∆vavg

∆t

b average displacement per unit time

savg =∆x

∆t

c total distance covered covered per unit time:

savg =total distance

∆t

d averege velocity of an object

savg = v̄

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a f(x)

b j(x)

c h(x)

d g(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 9

b 3

c√

5

d 5

Question 5 The unit of force, expressed in base

SI units is:

a 1 gm s−2

b 1N

c 1 kgm s−2

d 1 lb

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs < ~fk

b ~fs = −~fkc ~fs = ~fk

d ~fs > ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = −K2

b K1 = K2 = 0

c K1 = K2

d K1 < K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = ~F · ~db W = Fd

c W = Fd · sinφd W = mgh

y y

y +41/2/59+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 0 J

b W = −100 J

c W = 100 J

d W = 100N

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the sum of kinetic energy and potential energycannot change.

b the kinetic energy is equal to 0.

c the potential energy is constant.

d the system is also called �conservative.�

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the sum of kinetic and potential energy.

b the net force acting on the particle and is inthe direction of that force.

c the net force acting on the particle in the op-posite direction of that force.

d the kinetic energy of the particle.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ v1i.b v2f ≈ 0.

c v2f ≈2m1

m2v1i.

d v2f ≈ −v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 1 rev.

b 2π radmin−1.

c 60min.

d 6.283 rad h−1.

Question 14 The �gure 201 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 3π2.

b 0.5.

c π2.

d 1.5.

Question 15 The speed of traveling wave v isequal to:

a ωt

b λf

c 1T

d λT

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

c longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d transversal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 202.Calculate road after 15 s.

a 675m

b 600m

c 100m

d 225m

Question 18 Figure 203 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 34m

b 45m

c 28m

d 12m

y y

y +41/3/58+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.2667

b 0.9832

c 0.6667

d 0.7415

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

b v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

c v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

d v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 1.552m

b 3.781m

c 8.100m

d 2.134m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 204) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 2.75

b 0.364

c 11.658

d 0.603

Question 23 In the game �Angry Birds StarWars� (see Fig. 205) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b half of the maximum pull of the slingshot atα = 45◦

c maximum pull of the slingshot at α = 60◦

d maximum pull of the slingshot at α = 30◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 205) to achieve the maximumheight?

a α = π rad

b α = 45◦

c α = 60◦

d α = 0.5π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 205) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +41/4/57+ y

Figure 201: Curve representing simple harmonic oscillations

Figure 202: Velocity-time graph

Figure 203: Car motion graph

y y

y +41/5/56+ y

Figure 204: Two pendulums, A and B, in the game �Cut the Rope�

Figure 205: Screenshot from the game �Angry Birds Star Wars�

y y

y +41/6/55+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

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Question 18: a b c d

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Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +42/1/54+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299.792 458Mms−1

b 2.997 924 58× 108 ms−1

c 2.997 924 58× 109 m/s

d 299 792 458ms−1

Question 2 Average speed, savg, is de�ned as:

a average velocity per unit time

savg =∆vavg

∆t

b averege velocity of an object

savg = v̄

c average displacement per unit time

savg =∆x

∆t

d total distance covered covered per unit time:

savg =total distance

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a g(x)

b h(x)

c j(x)

d f(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 5

b 3

c√

5

d 9

Question 5 The unit of force, expressed in base

SI units is:

a 1 gm s−2

b 1 lb

c 1 kgm s−2

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs < ~fk

b ~fs > ~fkc ~fs = ~fk

d ~fs = −~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2 = 0

b K1 < K2

c K1 = −K2

d K1 = K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd · sinφb W = Fd

c W = mgh

d W = ~F · ~d

y y

y +42/2/53+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100 J

b W = 0 J

c W = −100 J

d W = 100N

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the potential energy is constant.

b the sum of kinetic energy and potential energycannot change.

c the kinetic energy is equal to 0.

d the system is also called �conservative.�

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle in the op-posite direction of that force.

b the sum of kinetic and potential energy.

c the net force acting on the particle and is inthe direction of that force.

d the kinetic energy of the particle.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈2m1

m2v1i.

b v2f ≈ v1i.c v2f ≈ −v1i.d v2f ≈ 0.

Question 13 What is the angular velocity ω ofa long clock hand?

a 60min.

b 2π radmin−1.

c 6.283 rad h−1.

d 1 rev.

Question 14 The �gure 206 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 0.5.

b π2.

c 3π2.

d 1.5.

Question 15 The speed of traveling wave v isequal to:

a 1T

b ωt

c λT

d λf

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b transversal mechanical waves that can travelthrough solids, liquids, or gases.

c longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

d transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 207.Calculate road after 15 s.

a 225m

b 600m

c 100m

d 675m

Question 18 Figure 208 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 45m

b 28m

c 12m

d 34m

y y

y +42/3/52+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.7415

b 0.2667

c 0.6667

d 0.9832

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

b v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

c v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

d v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 2.134m

b 1.552m

c 8.100m

d 3.781m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 209) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 11.658

b 2.75

c 0.603

d 0.364

Question 23 In the game �Angry Birds StarWars� (see Fig. 210) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 60◦

b maximum pull of the slingshot at α = 45◦

c maximum pull of the slingshot at α = 30◦

d half of the maximum pull of the slingshot atα = 45◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 210) to achieve the maximumheight?

a α = 0.5π rad

b α = 60◦

c α = π rad

d α = 45◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 210) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +42/4/51+ y

Figure 206: Curve representing simple harmonic oscillations

Figure 207: Velocity-time graph

Figure 208: Car motion graph

y y

y +42/5/50+ y

Figure 209: Two pendulums, A and B, in the game �Cut the Rope�

Figure 210: Screenshot from the game �Angry Birds Star Wars�

y y

y +42/6/49+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 9: a b c d

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Question 11: a b c d

Question 12: a b c d

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Question 22: a b c d

Question 23: a b c d

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Question 25: a b

y y

y +43/1/48+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299.792 458Mms−1

b 2.997 924 58× 108 ms−1

c 2.997 924 58× 109 m/s

d 299 792 458ms−1

Question 2 Average speed, savg, is de�ned as:

a average displacement per unit time

savg =∆x

∆t

b averege velocity of an object

savg = v̄

c total distance covered covered per unit time:

savg =total distance

∆t

d average velocity per unit time

savg =∆vavg

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a g(x)

b h(x)

c f(x)

d j(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 5

b√

5

c 9

d 3

Question 5 The unit of force, expressed in base

SI units is:

a 1N

b 1 gm s−2

c 1 lb

d 1 kgm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs < ~fk

b ~fs = −~fkc ~fs > ~fk

d ~fs = ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2

b K1 = −K2

c K1 = K2 = 0

d K1 < K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd

b W = ~F · ~dc W = Fd · sinφd W = mgh

y y

y +43/2/47+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100N

b W = −100 J

c W = 100 J

d W = 0 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the kinetic energy is equal to 0.

b the potential energy is constant.

c the system is also called �conservative.�

d the sum of kinetic energy and potential energycannot change.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the sum of kinetic and potential energy.

b the net force acting on the particle in the op-posite direction of that force.

c the kinetic energy of the particle.

d the net force acting on the particle and is inthe direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ −v1i.b v2f ≈ v1i.c v2f ≈

2m1

m2v1i.

d v2f ≈ 0.

Question 13 What is the angular velocity ω ofa long clock hand?

a 6.283 rad h−1.

b 1 rev.

c 2π radmin−1.

d 60min.

Question 14 The �gure 211 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 0.5.

b 1.5.

c 3π2.

d π2.

Question 15 The speed of traveling wave v isequal to:

a 1T

b ωt

c λT

d λf

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

b transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d transversal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 212.Calculate road after 15 s.

a 225m

b 100m

c 600m

d 675m

Question 18 Figure 213 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 45m

b 12m

c 34m

d 28m

y y

y +43/3/46+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.9832

b 0.6667

c 0.2667

d 0.7415

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

d v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 3.781m

b 1.552m

c 8.100m

d 2.134m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 214) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.603

b 11.658

c 0.364

d 2.75

Question 23 In the game �Angry Birds StarWars� (see Fig. 215) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 30◦

b maximum pull of the slingshot at α = 60◦

c half of the maximum pull of the slingshot atα = 45◦

d maximum pull of the slingshot at α = 45◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 215) to achieve the maximumheight?

a α = 45◦

b α = π rad

c α = 0.5π rad

d α = 60◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 215) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +43/4/45+ y

Figure 211: Curve representing simple harmonic oscillations

Figure 212: Velocity-time graph

Figure 213: Car motion graph

y y

y +43/5/44+ y

Figure 214: Two pendulums, A and B, in the game �Cut the Rope�

Figure 215: Screenshot from the game �Angry Birds Star Wars�

y y

y +43/6/43+ y

Answers:

Name:

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Question 1: a b c d

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Question 25: a b

y y

y +44/1/42+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299 792 458ms−1

b 2.997 924 58× 109 m/s

c 2.997 924 58× 108 ms−1

d 299.792 458Mms−1

Question 2 Average speed, savg, is de�ned as:

a average displacement per unit time

savg =∆x

∆t

b averege velocity of an object

savg = v̄

c total distance covered covered per unit time:

savg =total distance

∆t

d average velocity per unit time

savg =∆vavg

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a j(x)

b g(x)

c h(x)

d f(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 9

b 5

c 3

d√

5

Question 5 The unit of force, expressed in base

SI units is:

a 1N

b 1 gm s−2

c 1 lb

d 1 kgm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs > ~fk

b ~fs < ~fkc ~fs = ~fk

d ~fs = −~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2

b K1 = −K2

c K1 = K2 = 0

d K1 < K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = mgh

b W = Fd

c W = Fd · sinφd W = ~F · ~d

y y

y +44/2/41+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100 J

b W = 0 J

c W = −100 J

d W = 100N

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the system is also called �conservative.�

b the potential energy is constant.

c the kinetic energy is equal to 0.

d the sum of kinetic energy and potential energycannot change.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle in the op-posite direction of that force.

b the net force acting on the particle and is inthe direction of that force.

c the sum of kinetic and potential energy.

d the kinetic energy of the particle.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ v1i.b v2f ≈ 0.

c v2f ≈2m1

m2v1i.

d v2f ≈ −v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 2π radmin−1.

b 6.283 rad h−1.

c 1 rev.

d 60min.

Question 14 The �gure 216 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 0.5.

b 1.5.

c π2.

d 3π2.

Question 15 The speed of traveling wave v isequal to:

a λT

b λf

c 1T

d ωt

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

b longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c transversal mechanical waves that can travelthrough solids, liquids, or gases.

d transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 217.Calculate road after 15 s.

a 600m

b 225m

c 100m

d 675m

Question 18 Figure 218 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 34m

b 28m

c 45m

d 12m

y y

y +44/3/40+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.7415

b 0.9832

c 0.2667

d 0.6667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

b v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

c v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

d v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 1.552m

b 3.781m

c 2.134m

d 8.100m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 219) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 11.658

b 0.364

c 2.75

d 0.603

Question 23 In the game �Angry Birds StarWars� (see Fig. 220) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b maximum pull of the slingshot at α = 30◦

c half of the maximum pull of the slingshot atα = 45◦

d maximum pull of the slingshot at α = 60◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 220) to achieve the maximumheight?

a α = 45◦

b α = 0.5π rad

c α = 60◦

d α = π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 220) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +44/4/39+ y

Figure 216: Curve representing simple harmonic oscillations

Figure 217: Velocity-time graph

Figure 218: Car motion graph

y y

y +44/5/38+ y

Figure 219: Two pendulums, A and B, in the game �Cut the Rope�

Figure 220: Screenshot from the game �Angry Birds Star Wars�

y y

y +44/6/37+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 8: a b c d

Question 9: a b c d

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Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

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Question 16: a b c d

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Question 18: a b c d

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Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +45/1/36+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 108 ms−1

b 299 792 458ms−1

c 299.792 458Mms−1

d 2.997 924 58× 109 m/s

Question 2 Average speed, savg, is de�ned as:

a average displacement per unit time

savg =∆x

∆t

b average velocity per unit time

savg =∆vavg

∆t

c averege velocity of an object

savg = v̄

d total distance covered covered per unit time:

savg =total distance

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a f(x)

b j(x)

c h(x)

d g(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 3

b√

5

c 9

d 5

Question 5 The unit of force, expressed in base

SI units is:

a 1 lb

b 1N

c 1 kgm s−2

d 1 gm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs > ~fk

b ~fs = −~fkc ~fs < ~fk

d ~fs = ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 < K2

b K1 = K2 = 0

c K1 = K2

d K1 = −K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd

b W = Fd · sinφc W = mgh

d W = ~F · ~d

y y

y +45/2/35+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100 J

b W = 0 J

c W = 100N

d W = −100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the sum of kinetic energy and potential energycannot change.

b the kinetic energy is equal to 0.

c the system is also called �conservative.�

d the potential energy is constant.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle in the op-posite direction of that force.

b the sum of kinetic and potential energy.

c the kinetic energy of the particle.

d the net force acting on the particle and is inthe direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈2m1

m2v1i.

b v2f ≈ 0.

c v2f ≈ v1i.d v2f ≈ −v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 2π radmin−1.

b 6.283 rad h−1.

c 60min.

d 1 rev.

Question 14 The �gure 221 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a π2.

b 1.5.

c 0.5.

d 3π2.

Question 15 The speed of traveling wave v isequal to:

a 1T

b ωt

c λf

d λT

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough solids, liquids, or gases.

b transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

d longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 222.Calculate road after 15 s.

a 225m

b 600m

c 100m

d 675m

Question 18 Figure 223 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 45m

b 28m

c 12m

d 34m

y y

y +45/3/34+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.9832

b 0.2667

c 0.6667

d 0.7415

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

b v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

c v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

d v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 1.552m

b 8.100m

c 2.134m

d 3.781m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 224) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.364

b 0.603

c 11.658

d 2.75

Question 23 In the game �Angry Birds StarWars� (see Fig. 225) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b maximum pull of the slingshot at α = 60◦

c maximum pull of the slingshot at α = 30◦

d half of the maximum pull of the slingshot atα = 45◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 225) to achieve the maximumheight?

a α = 0.5π rad

b α = 60◦

c α = 45◦

d α = π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 225) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +45/4/33+ y

Figure 221: Curve representing simple harmonic oscillations

Figure 222: Velocity-time graph

Figure 223: Car motion graph

y y

y +45/5/32+ y

Figure 224: Two pendulums, A and B, in the game �Cut the Rope�

Figure 225: Screenshot from the game �Angry Birds Star Wars�

y y

y +45/6/31+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

Question 3: a b c d

Question 4: a b c d

Question 5: a b c d

Question 6: a b c d

Question 7: a b c d

Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

Question 15: a b c d

Question 16: a b c d

Question 17: a b c d

Question 18: a b c d

Question 19: a b c d

Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +46/1/30+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299.792 458Mms−1

b 299 792 458ms−1

c 2.997 924 58× 109 m/s

d 2.997 924 58× 108 ms−1

Question 2 Average speed, savg, is de�ned as:

a average velocity per unit time

savg =∆vavg

∆t

b total distance covered covered per unit time:

savg =total distance

∆t

c average displacement per unit time

savg =∆x

∆t

d averege velocity of an object

savg = v̄

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a h(x)

b f(x)

c g(x)

d j(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 3

b 5

c√

5

d 9

Question 5 The unit of force, expressed in base

SI units is:

a 1 gm s−2

b 1 lb

c 1N

d 1 kgm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs > ~fk

b ~fs < ~fkc ~fs = ~fk

d ~fs = −~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2

b K1 = −K2

c K1 < K2

d K1 = K2 = 0

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd

b W = Fd · sinφc W = mgh

d W = ~F · ~d

y y

y +46/2/29+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 0 J

b W = 100N

c W = −100 J

d W = 100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the potential energy is constant.

b the kinetic energy is equal to 0.

c the system is also called �conservative.�

d the sum of kinetic energy and potential energycannot change.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle and is inthe direction of that force.

b the sum of kinetic and potential energy.

c the kinetic energy of the particle.

d the net force acting on the particle in the op-posite direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ 0.

b v2f ≈ v1i.c v2f ≈

2m1

m2v1i.

d v2f ≈ −v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 1 rev.

b 2π radmin−1.

c 60min.

d 6.283 rad h−1.

Question 14 The �gure 226 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 1.5.

b 3π2.

c 0.5.

d π2.

Question 15 The speed of traveling wave v isequal to:

a ωt

b 1T

c λT

d λf

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

b longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d transversal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 227.Calculate road after 15 s.

a 225m

b 675m

c 600m

d 100m

Question 18 Figure 228 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 28m

b 45m

c 34m

d 12m

y y

y +46/3/28+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.7415

b 0.6667

c 0.9832

d 0.2667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

d v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 3.781m

b 8.100m

c 1.552m

d 2.134m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 229) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.603

b 2.75

c 11.658

d 0.364

Question 23 In the game �Angry Birds StarWars� (see Fig. 230) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 60◦

b maximum pull of the slingshot at α = 45◦

c maximum pull of the slingshot at α = 30◦

d half of the maximum pull of the slingshot atα = 45◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 230) to achieve the maximumheight?

a α = 60◦

b α = π rad

c α = 45◦

d α = 0.5π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 230) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +46/4/27+ y

Figure 226: Curve representing simple harmonic oscillations

Figure 227: Velocity-time graph

Figure 228: Car motion graph

y y

y +46/5/26+ y

Figure 229: Two pendulums, A and B, in the game �Cut the Rope�

Figure 230: Screenshot from the game �Angry Birds Star Wars�

y y

y +46/6/25+ y

Answers:

Name:

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Question 1: a b c d

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Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

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Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +47/1/24+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299 792 458ms−1

b 299.792 458Mms−1

c 2.997 924 58× 108 ms−1

d 2.997 924 58× 109 m/s

Question 2 Average speed, savg, is de�ned as:

a average displacement per unit time

savg =∆x

∆t

b averege velocity of an object

savg = v̄

c total distance covered covered per unit time:

savg =total distance

∆t

d average velocity per unit time

savg =∆vavg

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a j(x)

b g(x)

c h(x)

d f(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 3

b 5

c 9

d√

5

Question 5 The unit of force, expressed in base

SI units is:

a 1 kgm s−2

b 1 lb

c 1 gm s−2

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = ~fk

b ~fs < ~fkc ~fs > ~fk

d ~fs = −~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2 = 0

b K1 < K2

c K1 = K2

d K1 = −K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = ~F · ~db W = Fd

c W = Fd · sinφd W = mgh

y y

y +47/2/23+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100N

b W = 0 J

c W = −100 J

d W = 100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the potential energy is constant.

b the sum of kinetic energy and potential energycannot change.

c the system is also called �conservative.�

d the kinetic energy is equal to 0.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle and is inthe direction of that force.

b the net force acting on the particle in the op-posite direction of that force.

c the sum of kinetic and potential energy.

d the kinetic energy of the particle.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ v1i.b v2f ≈ 0.

c v2f ≈2m1

m2v1i.

d v2f ≈ −v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 2π radmin−1.

b 60min.

c 1 rev.

d 6.283 rad h−1.

Question 14 The �gure 231 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 3π2.

b 1.5.

c π2.

d 0.5.

Question 15 The speed of traveling wave v isequal to:

a λT

b ωt

c 1T

d λf

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

b longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d transversal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 232.Calculate road after 15 s.

a 225m

b 675m

c 600m

d 100m

Question 18 Figure 233 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 45m

b 12m

c 28m

d 34m

y y

y +47/3/22+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.9832

b 0.2667

c 0.7415

d 0.6667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

b v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

c v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

d v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 2.134m

b 3.781m

c 1.552m

d 8.100m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 234) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 11.658

b 2.75

c 0.603

d 0.364

Question 23 In the game �Angry Birds StarWars� (see Fig. 235) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 60◦

b maximum pull of the slingshot at α = 45◦

c half of the maximum pull of the slingshot atα = 45◦

d maximum pull of the slingshot at α = 30◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 235) to achieve the maximumheight?

a α = 45◦

b α = π rad

c α = 0.5π rad

d α = 60◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 235) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +47/4/21+ y

Figure 231: Curve representing simple harmonic oscillations

Figure 232: Velocity-time graph

Figure 233: Car motion graph

y y

y +47/5/20+ y

Figure 234: Two pendulums, A and B, in the game �Cut the Rope�

Figure 235: Screenshot from the game �Angry Birds Star Wars�

y y

y +47/6/19+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 4: a b c d

Question 5: a b c d

Question 6: a b c d

Question 7: a b c d

Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

Question 15: a b c d

Question 16: a b c d

Question 17: a b c d

Question 18: a b c d

Question 19: a b c d

Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +48/1/18+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 108 ms−1

b 299.792 458Mms−1

c 2.997 924 58× 109 m/s

d 299 792 458ms−1

Question 2 Average speed, savg, is de�ned as:

a average velocity per unit time

savg =∆vavg

∆t

b total distance covered covered per unit time:

savg =total distance

∆t

c average displacement per unit time

savg =∆x

∆t

d averege velocity of an object

savg = v̄

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a h(x)

b j(x)

c g(x)

d f(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a√

5

b 3

c 9

d 5

Question 5 The unit of force, expressed in base

SI units is:

a 1N

b 1 gm s−2

c 1 lb

d 1 kgm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs > ~fk

b ~fs = ~fkc ~fs < ~fk

d ~fs = −~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2 = 0

b K1 = −K2

c K1 = K2

d K1 < K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = mgh

b W = ~F · ~dc W = Fd · sinφd W = Fd

y y

y +48/2/17+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = −100 J

b W = 100N

c W = 0 J

d W = 100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the sum of kinetic energy and potential energycannot change.

b the kinetic energy is equal to 0.

c the potential energy is constant.

d the system is also called �conservative.�

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle in the op-posite direction of that force.

b the net force acting on the particle and is inthe direction of that force.

c the kinetic energy of the particle.

d the sum of kinetic and potential energy.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ v1i.b v2f ≈ 0.

c v2f ≈2m1

m2v1i.

d v2f ≈ −v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 60min.

b 6.283 rad h−1.

c 2π radmin−1.

d 1 rev.

Question 14 The �gure 236 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 3π2.

b 1.5.

c 0.5.

d π2.

Question 15 The speed of traveling wave v isequal to:

a ωt

b λT

c 1T

d λf

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

d transversal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 237.Calculate road after 15 s.

a 675m

b 100m

c 225m

d 600m

Question 18 Figure 238 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 28m

b 45m

c 34m

d 12m

y y

y +48/3/16+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.7415

b 0.2667

c 0.6667

d 0.9832

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

d v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 1.552m

b 8.100m

c 2.134m

d 3.781m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 239) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.364

b 0.603

c 2.75

d 11.658

Question 23 In the game �Angry Birds StarWars� (see Fig. 240) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 60◦

b maximum pull of the slingshot at α = 30◦

c maximum pull of the slingshot at α = 45◦

d half of the maximum pull of the slingshot atα = 45◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 240) to achieve the maximumheight?

a α = 45◦

b α = 0.5π rad

c α = 60◦

d α = π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 240) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +48/4/15+ y

Figure 236: Curve representing simple harmonic oscillations

Figure 237: Velocity-time graph

Figure 238: Car motion graph

y y

y +48/5/14+ y

Figure 239: Two pendulums, A and B, in the game �Cut the Rope�

Figure 240: Screenshot from the game �Angry Birds Star Wars�

y y

y +48/6/13+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

Question 3: a b c d

Question 4: a b c d

Question 5: a b c d

Question 6: a b c d

Question 7: a b c d

Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

Question 15: a b c d

Question 16: a b c d

Question 17: a b c d

Question 18: a b c d

Question 19: a b c d

Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +49/1/12+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 108 ms−1

b 299.792 458Mms−1

c 2.997 924 58× 109 m/s

d 299 792 458ms−1

Question 2 Average speed, savg, is de�ned as:

a averege velocity of an object

savg = v̄

b average velocity per unit time

savg =∆vavg

∆t

c total distance covered covered per unit time:

savg =total distance

∆t

d average displacement per unit time

savg =∆x

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a g(x)

b h(x)

c f(x)

d j(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 5

b 3

c 9

d√

5

Question 5 The unit of force, expressed in base

SI units is:

a 1N

b 1 lb

c 1 gm s−2

d 1 kgm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = ~fk

b ~fs = −~fkc ~fs < ~fk

d ~fs > ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2

b K1 < K2

c K1 = −K2

d K1 = K2 = 0

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = ~F · ~db W = mgh

c W = Fd

d W = Fd · sinφ

y y

y +49/2/11+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100 J

b W = 0 J

c W = −100 J

d W = 100N

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the potential energy is constant.

b the system is also called �conservative.�

c the sum of kinetic energy and potential energycannot change.

d the kinetic energy is equal to 0.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the sum of kinetic and potential energy.

b the net force acting on the particle and is inthe direction of that force.

c the net force acting on the particle in the op-posite direction of that force.

d the kinetic energy of the particle.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈2m1

m2v1i.

b v2f ≈ −v1i.c v2f ≈ v1i.d v2f ≈ 0.

Question 13 What is the angular velocity ω ofa long clock hand?

a 1 rev.

b 60min.

c 6.283 rad h−1.

d 2π radmin−1.

Question 14 The �gure 241 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a π2.

b 1.5.

c 3π2.

d 0.5.

Question 15 The speed of traveling wave v isequal to:

a ωt

b 1T

c λf

d λT

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c transversal mechanical waves that can travelthrough solids, liquids, or gases.

d longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 242.Calculate road after 15 s.

a 675m

b 225m

c 100m

d 600m

Question 18 Figure 243 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 12m

b 34m

c 45m

d 28m

y y

y +49/3/10+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.6667

b 0.2667

c 0.7415

d 0.9832

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

b v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

c v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

d v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 2.134m

b 8.100m

c 1.552m

d 3.781m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 244) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 11.658

b 2.75

c 0.364

d 0.603

Question 23 In the game �Angry Birds StarWars� (see Fig. 245) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a half of the maximum pull of the slingshot atα = 45◦

b maximum pull of the slingshot at α = 30◦

c maximum pull of the slingshot at α = 45◦

d maximum pull of the slingshot at α = 60◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 245) to achieve the maximumheight?

a α = 0.5π rad

b α = 45◦

c α = 60◦

d α = π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 245) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +49/4/9+ y

Figure 241: Curve representing simple harmonic oscillations

Figure 242: Velocity-time graph

Figure 243: Car motion graph

y y

y +49/5/8+ y

Figure 244: Two pendulums, A and B, in the game �Cut the Rope�

Figure 245: Screenshot from the game �Angry Birds Star Wars�

y y

y +49/6/7+ y

Answers:

Name:

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Question 1: a b c d

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Question 25: a b

y y

y +50/1/6+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299.792 458Mms−1

b 2.997 924 58× 109 m/s

c 2.997 924 58× 108 ms−1

d 299 792 458ms−1

Question 2 Average speed, savg, is de�ned as:

a total distance covered covered per unit time:

savg =total distance

∆t

b average velocity per unit time

savg =∆vavg

∆t

c averege velocity of an object

savg = v̄

d average displacement per unit time

savg =∆x

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a g(x)

b h(x)

c f(x)

d j(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 3

b 9

c 5

d√

5

Question 5 The unit of force, expressed in base

SI units is:

a 1 kgm s−2

b 1 lb

c 1 gm s−2

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = ~fk

b ~fs = −~fkc ~fs > ~fk

d ~fs < ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 < K2

b K1 = K2

c K1 = −K2

d K1 = K2 = 0

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = ~F · ~db W = Fd

c W = mgh

d W = Fd · sinφ

y y

y +50/2/5+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = −100 J

b W = 100 J

c W = 100N

d W = 0 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the potential energy is constant.

b the sum of kinetic energy and potential energycannot change.

c the system is also called �conservative.�

d the kinetic energy is equal to 0.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle in the op-posite direction of that force.

b the kinetic energy of the particle.

c the sum of kinetic and potential energy.

d the net force acting on the particle and is inthe direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ v1i.

b v2f ≈2m1

m2v1i.

c v2f ≈ 0.

d v2f ≈ −v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 2π radmin−1.

b 60min.

c 1 rev.

d 6.283 rad h−1.

Question 14 The �gure 246 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a π2.

b 0.5.

c 3π2.

d 1.5.

Question 15 The speed of traveling wave v isequal to:

a λT

b 1T

c ωt

d λf

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough solids, liquids, or gases.

b transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 247.Calculate road after 15 s.

a 100m

b 675m

c 225m

d 600m

Question 18 Figure 248 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 28m

b 34m

c 12m

d 45m

y y

y +50/3/4+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.9832

b 0.6667

c 0.7415

d 0.2667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

b v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

c v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

d v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 2.134m

b 1.552m

c 3.781m

d 8.100m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 249) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 11.658

b 0.364

c 0.603

d 2.75

Question 23 In the game �Angry Birds StarWars� (see Fig. 250) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 60◦

b maximum pull of the slingshot at α = 30◦

c maximum pull of the slingshot at α = 45◦

d half of the maximum pull of the slingshot atα = 45◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 250) to achieve the maximumheight?

a α = 45◦

b α = π rad

c α = 0.5π rad

d α = 60◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 250) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +50/4/3+ y

Figure 246: Curve representing simple harmonic oscillations

Figure 247: Velocity-time graph

Figure 248: Car motion graph

y y

y +50/5/2+ y

Figure 249: Two pendulums, A and B, in the game �Cut the Rope�

Figure 250: Screenshot from the game �Angry Birds Star Wars�

y y

y +50/6/1+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 6: a b c d

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Question 9: a b c d

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Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

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Question 16: a b c d

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Question 18: a b c d

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Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +51/1/60+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 109 m/s

b 2.997 924 58× 108 ms−1

c 299 792 458ms−1

d 299.792 458Mms−1

Question 2 Average speed, savg, is de�ned as:

a average displacement per unit time

savg =∆x

∆t

b averege velocity of an object

savg = v̄

c total distance covered covered per unit time:

savg =total distance

∆t

d average velocity per unit time

savg =∆vavg

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a g(x)

b f(x)

c h(x)

d j(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 3

b√

5

c 9

d 5

Question 5 The unit of force, expressed in base

SI units is:

a 1 kgm s−2

b 1 lb

c 1 gm s−2

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = −~fkb ~fs > ~fkc ~fs = ~fk

d ~fs < ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2

b K1 = K2 = 0

c K1 = −K2

d K1 < K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = ~F · ~db W = Fd

c W = mgh

d W = Fd · sinφ

y y

y +51/2/59+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = −100 J

b W = 100N

c W = 100 J

d W = 0 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the potential energy is constant.

b the kinetic energy is equal to 0.

c the system is also called �conservative.�

d the sum of kinetic energy and potential energycannot change.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle in the op-posite direction of that force.

b the net force acting on the particle and is inthe direction of that force.

c the sum of kinetic and potential energy.

d the kinetic energy of the particle.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ 0.

b v2f ≈2m1

m2v1i.

c v2f ≈ −v1i.d v2f ≈ v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 1 rev.

b 6.283 rad h−1.

c 60min.

d 2π radmin−1.

Question 14 The �gure 251 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 0.5.

b 1.5.

c π2.

d 3π2.

Question 15 The speed of traveling wave v isequal to:

a 1T

b λT

c λf

d ωt

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b transversal mechanical waves that can travelthrough solids, liquids, or gases.

c longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 252.Calculate road after 15 s.

a 675m

b 100m

c 225m

d 600m

Question 18 Figure 253 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 28m

b 34m

c 12m

d 45m

y y

y +51/3/58+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.2667

b 0.9832

c 0.7415

d 0.6667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

b v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

c v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

d v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 3.781m

b 2.134m

c 8.100m

d 1.552m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 254) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 11.658

b 0.603

c 2.75

d 0.364

Question 23 In the game �Angry Birds StarWars� (see Fig. 255) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 30◦

b maximum pull of the slingshot at α = 45◦

c half of the maximum pull of the slingshot atα = 45◦

d maximum pull of the slingshot at α = 60◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 255) to achieve the maximumheight?

a α = 45◦

b α = 60◦

c α = 0.5π rad

d α = π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 255) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +51/4/57+ y

Figure 251: Curve representing simple harmonic oscillations

Figure 252: Velocity-time graph

Figure 253: Car motion graph

y y

y +51/5/56+ y

Figure 254: Two pendulums, A and B, in the game �Cut the Rope�

Figure 255: Screenshot from the game �Angry Birds Star Wars�

y y

y +51/6/55+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

Question 3: a b c d

Question 4: a b c d

Question 5: a b c d

Question 6: a b c d

Question 7: a b c d

Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

Question 15: a b c d

Question 16: a b c d

Question 17: a b c d

Question 18: a b c d

Question 19: a b c d

Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +52/1/54+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 109 m/s

b 299.792 458Mms−1

c 299 792 458ms−1

d 2.997 924 58× 108 ms−1

Question 2 Average speed, savg, is de�ned as:

a average displacement per unit time

savg =∆x

∆t

b averege velocity of an object

savg = v̄

c total distance covered covered per unit time:

savg =total distance

∆t

d average velocity per unit time

savg =∆vavg

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a f(x)

b g(x)

c h(x)

d j(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 5

b√

5

c 3

d 9

Question 5 The unit of force, expressed in base

SI units is:

a 1N

b 1 lb

c 1 kgm s−2

d 1 gm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = ~fk

b ~fs = −~fkc ~fs > ~fk

d ~fs < ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2 = 0

b K1 < K2

c K1 = −K2

d K1 = K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd

b W = ~F · ~dc W = Fd · sinφd W = mgh

y y

y +52/2/53+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = −100 J

b W = 100N

c W = 100 J

d W = 0 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the kinetic energy is equal to 0.

b the system is also called �conservative.�

c the potential energy is constant.

d the sum of kinetic energy and potential energycannot change.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the sum of kinetic and potential energy.

b the net force acting on the particle and is inthe direction of that force.

c the kinetic energy of the particle.

d the net force acting on the particle in the op-posite direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈2m1

m2v1i.

b v2f ≈ v1i.c v2f ≈ −v1i.d v2f ≈ 0.

Question 13 What is the angular velocity ω ofa long clock hand?

a 2π radmin−1.

b 6.283 rad h−1.

c 1 rev.

d 60min.

Question 14 The �gure 256 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 3π2.

b π2.

c 1.5.

d 0.5.

Question 15 The speed of traveling wave v isequal to:

a ωt

b λf

c 1T

d λT

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

c longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d transversal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 257.Calculate road after 15 s.

a 675m

b 225m

c 100m

d 600m

Question 18 Figure 258 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 34m

b 12m

c 28m

d 45m

y y

y +52/3/52+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.9832

b 0.2667

c 0.6667

d 0.7415

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

b v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

c v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

d v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 3.781m

b 2.134m

c 1.552m

d 8.100m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 259) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.603

b 11.658

c 2.75

d 0.364

Question 23 In the game �Angry Birds StarWars� (see Fig. 260) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a half of the maximum pull of the slingshot atα = 45◦

b maximum pull of the slingshot at α = 60◦

c maximum pull of the slingshot at α = 30◦

d maximum pull of the slingshot at α = 45◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 260) to achieve the maximumheight?

a α = 60◦

b α = 45◦

c α = 0.5π rad

d α = π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 260) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +52/4/51+ y

Figure 256: Curve representing simple harmonic oscillations

Figure 257: Velocity-time graph

Figure 258: Car motion graph

y y

y +52/5/50+ y

Figure 259: Two pendulums, A and B, in the game �Cut the Rope�

Figure 260: Screenshot from the game �Angry Birds Star Wars�

y y

y +52/6/49+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

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Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +53/1/48+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 108 ms−1

b 299.792 458Mms−1

c 299 792 458ms−1

d 2.997 924 58× 109 m/s

Question 2 Average speed, savg, is de�ned as:

a average displacement per unit time

savg =∆x

∆t

b averege velocity of an object

savg = v̄

c average velocity per unit time

savg =∆vavg

∆t

d total distance covered covered per unit time:

savg =total distance

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a f(x)

b g(x)

c h(x)

d j(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a√

5

b 9

c 3

d 5

Question 5 The unit of force, expressed in base

SI units is:

a 1 gm s−2

b 1 lb

c 1 kgm s−2

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = −~fkb ~fs < ~fkc ~fs = ~fk

d ~fs > ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2 = 0

b K1 = K2

c K1 < K2

d K1 = −K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd

b W = mgh

c W = ~F · ~dd W = Fd · sinφ

y y

y +53/2/47+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100N

b W = 100 J

c W = 0 J

d W = −100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the kinetic energy is equal to 0.

b the potential energy is constant.

c the system is also called �conservative.�

d the sum of kinetic energy and potential energycannot change.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle and is inthe direction of that force.

b the sum of kinetic and potential energy.

c the kinetic energy of the particle.

d the net force acting on the particle in the op-posite direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ −v1i.b v2f ≈ 0.

c v2f ≈2m1

m2v1i.

d v2f ≈ v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 1 rev.

b 2π radmin−1.

c 6.283 rad h−1.

d 60min.

Question 14 The �gure 261 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 1.5.

b 0.5.

c π2.

d 3π2.

Question 15 The speed of traveling wave v isequal to:

a λT

b 1T

c ωt

d λf

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b transversal mechanical waves that can travelthrough solids, liquids, or gases.

c longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

d longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 262.Calculate road after 15 s.

a 100m

b 600m

c 675m

d 225m

Question 18 Figure 263 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 12m

b 28m

c 34m

d 45m

y y

y +53/3/46+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.6667

b 0.2667

c 0.7415

d 0.9832

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

b v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

c v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

d v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 1.552m

b 3.781m

c 8.100m

d 2.134m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 264) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 11.658

b 0.603

c 2.75

d 0.364

Question 23 In the game �Angry Birds StarWars� (see Fig. 265) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a half of the maximum pull of the slingshot atα = 45◦

b maximum pull of the slingshot at α = 45◦

c maximum pull of the slingshot at α = 30◦

d maximum pull of the slingshot at α = 60◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 265) to achieve the maximumheight?

a α = 0.5π rad

b α = 45◦

c α = 60◦

d α = π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 265) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +53/4/45+ y

Figure 261: Curve representing simple harmonic oscillations

Figure 262: Velocity-time graph

Figure 263: Car motion graph

y y

y +53/5/44+ y

Figure 264: Two pendulums, A and B, in the game �Cut the Rope�

Figure 265: Screenshot from the game �Angry Birds Star Wars�

y y

y +53/6/43+ y

Answers:

Name:

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Question 1: a b c d

Question 2: a b c d

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Question 9: a b c d

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Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

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Question 16: a b c d

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Question 18: a b c d

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Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

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Question 25: a b

y y

y +54/1/42+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 108 ms−1

b 299 792 458ms−1

c 2.997 924 58× 109 m/s

d 299.792 458Mms−1

Question 2 Average speed, savg, is de�ned as:

a average displacement per unit time

savg =∆x

∆t

b average velocity per unit time

savg =∆vavg

∆t

c averege velocity of an object

savg = v̄

d total distance covered covered per unit time:

savg =total distance

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a h(x)

b j(x)

c g(x)

d f(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 3

b√

5

c 5

d 9

Question 5 The unit of force, expressed in base

SI units is:

a 1 kgm s−2

b 1 gm s−2

c 1N

d 1 lb

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = −~fkb ~fs > ~fkc ~fs < ~fk

d ~fs = ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2 = 0

b K1 = −K2

c K1 = K2

d K1 < K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = ~F · ~db W = Fd · sinφc W = mgh

d W = Fd

y y

y +54/2/41+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100 J

b W = 100N

c W = −100 J

d W = 0 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the system is also called �conservative.�

b the kinetic energy is equal to 0.

c the potential energy is constant.

d the sum of kinetic energy and potential energycannot change.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle and is inthe direction of that force.

b the kinetic energy of the particle.

c the net force acting on the particle in the op-posite direction of that force.

d the sum of kinetic and potential energy.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ v1i.

b v2f ≈2m1

m2v1i.

c v2f ≈ −v1i.d v2f ≈ 0.

Question 13 What is the angular velocity ω ofa long clock hand?

a 6.283 rad h−1.

b 1 rev.

c 2π radmin−1.

d 60min.

Question 14 The �gure 266 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 1.5.

b 0.5.

c π2.

d 3π2.

Question 15 The speed of traveling wave v isequal to:

a λT

b 1T

c λf

d ωt

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b transversal mechanical waves that can travelthrough solids, liquids, or gases.

c longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

d transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 267.Calculate road after 15 s.

a 100m

b 225m

c 675m

d 600m

Question 18 Figure 268 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 45m

b 28m

c 12m

d 34m

y y

y +54/3/40+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.6667

b 0.9832

c 0.2667

d 0.7415

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

b v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

c v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

d v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 3.781m

b 2.134m

c 1.552m

d 8.100m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 269) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.603

b 2.75

c 0.364

d 11.658

Question 23 In the game �Angry Birds StarWars� (see Fig. 270) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b maximum pull of the slingshot at α = 60◦

c maximum pull of the slingshot at α = 30◦

d half of the maximum pull of the slingshot atα = 45◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 270) to achieve the maximumheight?

a α = 60◦

b α = 45◦

c α = 0.5π rad

d α = π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 270) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +54/4/39+ y

Figure 266: Curve representing simple harmonic oscillations

Figure 267: Velocity-time graph

Figure 268: Car motion graph

y y

y +54/5/38+ y

Figure 269: Two pendulums, A and B, in the game �Cut the Rope�

Figure 270: Screenshot from the game �Angry Birds Star Wars�

y y

y +54/6/37+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

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Question 18: a b c d

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Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +55/1/36+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299.792 458Mms−1

b 299 792 458ms−1

c 2.997 924 58× 109 m/s

d 2.997 924 58× 108 ms−1

Question 2 Average speed, savg, is de�ned as:

a average velocity per unit time

savg =∆vavg

∆t

b total distance covered covered per unit time:

savg =total distance

∆t

c average displacement per unit time

savg =∆x

∆t

d averege velocity of an object

savg = v̄

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a g(x)

b j(x)

c h(x)

d f(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 3

b 9

c 5

d√

5

Question 5 The unit of force, expressed in base

SI units is:

a 1 gm s−2

b 1 kgm s−2

c 1 lb

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = ~fk

b ~fs < ~fkc ~fs = −~fkd ~fs > ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2

b K1 = −K2

c K1 = K2 = 0

d K1 < K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = mgh

b W = ~F · ~dc W = Fd

d W = Fd · sinφ

y y

y +55/2/35+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = −100 J

b W = 0 J

c W = 100 J

d W = 100N

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the potential energy is constant.

b the sum of kinetic energy and potential energycannot change.

c the kinetic energy is equal to 0.

d the system is also called �conservative.�

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle and is inthe direction of that force.

b the sum of kinetic and potential energy.

c the kinetic energy of the particle.

d the net force acting on the particle in the op-posite direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ 0.

b v2f ≈ v1i.c v2f ≈

2m1

m2v1i.

d v2f ≈ −v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 2π radmin−1.

b 60min.

c 1 rev.

d 6.283 rad h−1.

Question 14 The �gure 271 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 0.5.

b 1.5.

c π2.

d 3π2.

Question 15 The speed of traveling wave v isequal to:

a λf

b 1T

c ωt

d λT

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough solids, liquids, or gases.

b transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 272.Calculate road after 15 s.

a 600m

b 675m

c 225m

d 100m

Question 18 Figure 273 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 28m

b 12m

c 45m

d 34m

y y

y +55/3/34+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.7415

b 0.2667

c 0.6667

d 0.9832

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

d v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 8.100m

b 2.134m

c 3.781m

d 1.552m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 274) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 11.658

b 2.75

c 0.603

d 0.364

Question 23 In the game �Angry Birds StarWars� (see Fig. 275) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b maximum pull of the slingshot at α = 60◦

c half of the maximum pull of the slingshot atα = 45◦

d maximum pull of the slingshot at α = 30◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 275) to achieve the maximumheight?

a α = 0.5π rad

b α = π rad

c α = 60◦

d α = 45◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 275) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +55/4/33+ y

Figure 271: Curve representing simple harmonic oscillations

Figure 272: Velocity-time graph

Figure 273: Car motion graph

y y

y +55/5/32+ y

Figure 274: Two pendulums, A and B, in the game �Cut the Rope�

Figure 275: Screenshot from the game �Angry Birds Star Wars�

y y

y +55/6/31+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 6: a b c d

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Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

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Question 16: a b c d

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Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

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Question 25: a b

y y

y +56/1/30+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 108 ms−1

b 299.792 458Mms−1

c 2.997 924 58× 109 m/s

d 299 792 458ms−1

Question 2 Average speed, savg, is de�ned as:

a average displacement per unit time

savg =∆x

∆t

b averege velocity of an object

savg = v̄

c average velocity per unit time

savg =∆vavg

∆t

d total distance covered covered per unit time:

savg =total distance

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a j(x)

b h(x)

c f(x)

d g(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a√

5

b 3

c 5

d 9

Question 5 The unit of force, expressed in base

SI units is:

a 1 gm s−2

b 1 lb

c 1N

d 1 kgm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs < ~fk

b ~fs > ~fkc ~fs = −~fkd ~fs = ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2

b K1 < K2

c K1 = K2 = 0

d K1 = −K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = ~F · ~db W = Fd

c W = mgh

d W = Fd · sinφ

y y

y +56/2/29+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100N

b W = −100 J

c W = 0 J

d W = 100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the kinetic energy is equal to 0.

b the system is also called �conservative.�

c the sum of kinetic energy and potential energycannot change.

d the potential energy is constant.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the sum of kinetic and potential energy.

b the kinetic energy of the particle.

c the net force acting on the particle in the op-posite direction of that force.

d the net force acting on the particle and is inthe direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ v1i.b v2f ≈ −v1i.c v2f ≈

2m1

m2v1i.

d v2f ≈ 0.

Question 13 What is the angular velocity ω ofa long clock hand?

a 6.283 rad h−1.

b 2π radmin−1.

c 60min.

d 1 rev.

Question 14 The �gure 276 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 3π2.

b 0.5.

c π2.

d 1.5.

Question 15 The speed of traveling wave v isequal to:

a ωt

b 1T

c λf

d λT

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

b longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c transversal mechanical waves that can travelthrough solids, liquids, or gases.

d transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 277.Calculate road after 15 s.

a 675m

b 225m

c 600m

d 100m

Question 18 Figure 278 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 28m

b 45m

c 34m

d 12m

y y

y +56/3/28+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.2667

b 0.9832

c 0.6667

d 0.7415

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

d v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 3.781m

b 8.100m

c 2.134m

d 1.552m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 279) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 11.658

b 0.603

c 2.75

d 0.364

Question 23 In the game �Angry Birds StarWars� (see Fig. 280) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b half of the maximum pull of the slingshot atα = 45◦

c maximum pull of the slingshot at α = 60◦

d maximum pull of the slingshot at α = 30◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 280) to achieve the maximumheight?

a α = π rad

b α = 60◦

c α = 45◦

d α = 0.5π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 280) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +56/4/27+ y

Figure 276: Curve representing simple harmonic oscillations

Figure 277: Velocity-time graph

Figure 278: Car motion graph

y y

y +56/5/26+ y

Figure 279: Two pendulums, A and B, in the game �Cut the Rope�

Figure 280: Screenshot from the game �Angry Birds Star Wars�

y y

y +56/6/25+ y

Answers:

Name:

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Question 1: a b c d

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Question 11: a b c d

Question 12: a b c d

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Question 25: a b

y y

y +57/1/24+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 109 m/s

b 2.997 924 58× 108 ms−1

c 299 792 458ms−1

d 299.792 458Mms−1

Question 2 Average speed, savg, is de�ned as:

a average velocity per unit time

savg =∆vavg

∆t

b total distance covered covered per unit time:

savg =total distance

∆t

c averege velocity of an object

savg = v̄

d average displacement per unit time

savg =∆x

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a g(x)

b f(x)

c j(x)

d h(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 5

b 9

c√

5

d 3

Question 5 The unit of force, expressed in base

SI units is:

a 1 kgm s−2

b 1N

c 1 gm s−2

d 1 lb

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs > ~fk

b ~fs = ~fkc ~fs = −~fkd ~fs < ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2 = 0

b K1 < K2

c K1 = K2

d K1 = −K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd

b W = Fd · sinφc W = mgh

d W = ~F · ~d

y y

y +57/2/23+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 0 J

b W = 100N

c W = −100 J

d W = 100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the sum of kinetic energy and potential energycannot change.

b the potential energy is constant.

c the system is also called �conservative.�

d the kinetic energy is equal to 0.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the kinetic energy of the particle.

b the sum of kinetic and potential energy.

c the net force acting on the particle in the op-posite direction of that force.

d the net force acting on the particle and is inthe direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈2m1

m2v1i.

b v2f ≈ −v1i.c v2f ≈ v1i.d v2f ≈ 0.

Question 13 What is the angular velocity ω ofa long clock hand?

a 2π radmin−1.

b 1 rev.

c 60min.

d 6.283 rad h−1.

Question 14 The �gure 281 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 3π2.

b π2.

c 1.5.

d 0.5.

Question 15 The speed of traveling wave v isequal to:

a λf

b λT

c 1T

d ωt

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

c longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d transversal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 282.Calculate road after 15 s.

a 100m

b 600m

c 675m

d 225m

Question 18 Figure 283 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 12m

b 28m

c 34m

d 45m

y y

y +57/3/22+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.9832

b 0.6667

c 0.7415

d 0.2667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

b v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

c v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

d v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 3.781m

b 2.134m

c 8.100m

d 1.552m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 284) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.603

b 0.364

c 2.75

d 11.658

Question 23 In the game �Angry Birds StarWars� (see Fig. 285) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a half of the maximum pull of the slingshot atα = 45◦

b maximum pull of the slingshot at α = 30◦

c maximum pull of the slingshot at α = 60◦

d maximum pull of the slingshot at α = 45◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 285) to achieve the maximumheight?

a α = 45◦

b α = 0.5π rad

c α = 60◦

d α = π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 285) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +57/4/21+ y

Figure 281: Curve representing simple harmonic oscillations

Figure 282: Velocity-time graph

Figure 283: Car motion graph

y y

y +57/5/20+ y

Figure 284: Two pendulums, A and B, in the game �Cut the Rope�

Figure 285: Screenshot from the game �Angry Birds Star Wars�

y y

y +57/6/19+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 7: a b c d

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Question 9: a b c d

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Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

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Question 16: a b c d

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Question 18: a b c d

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Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +58/1/18+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 108 ms−1

b 299.792 458Mms−1

c 2.997 924 58× 109 m/s

d 299 792 458ms−1

Question 2 Average speed, savg, is de�ned as:

a averege velocity of an object

savg = v̄

b total distance covered covered per unit time:

savg =total distance

∆t

c average velocity per unit time

savg =∆vavg

∆t

d average displacement per unit time

savg =∆x

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a h(x)

b f(x)

c g(x)

d j(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a√

5

b 9

c 5

d 3

Question 5 The unit of force, expressed in base

SI units is:

a 1 kgm s−2

b 1 lb

c 1 gm s−2

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs > ~fk

b ~fs = −~fkc ~fs < ~fk

d ~fs = ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2

b K1 = −K2

c K1 < K2

d K1 = K2 = 0

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd · sinφb W = mgh

c W = Fd

d W = ~F · ~d

y y

y +58/2/17+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 0 J

b W = 100N

c W = 100 J

d W = −100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the potential energy is constant.

b the system is also called �conservative.�

c the sum of kinetic energy and potential energycannot change.

d the kinetic energy is equal to 0.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the sum of kinetic and potential energy.

b the kinetic energy of the particle.

c the net force acting on the particle in the op-posite direction of that force.

d the net force acting on the particle and is inthe direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ v1i.

b v2f ≈2m1

m2v1i.

c v2f ≈ −v1i.d v2f ≈ 0.

Question 13 What is the angular velocity ω ofa long clock hand?

a 60min.

b 1 rev.

c 2π radmin−1.

d 6.283 rad h−1.

Question 14 The �gure 286 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 1.5.

b 3π2.

c π2.

d 0.5.

Question 15 The speed of traveling wave v isequal to:

a ωt

b λT

c 1T

d λf

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b transversal mechanical waves that can travelthrough solids, liquids, or gases.

c longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 287.Calculate road after 15 s.

a 100m

b 225m

c 600m

d 675m

Question 18 Figure 288 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 28m

b 45m

c 12m

d 34m

y y

y +58/3/16+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.9832

b 0.6667

c 0.7415

d 0.2667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

d v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 8.100m

b 1.552m

c 3.781m

d 2.134m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 289) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.364

b 0.603

c 11.658

d 2.75

Question 23 In the game �Angry Birds StarWars� (see Fig. 290) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a half of the maximum pull of the slingshot atα = 45◦

b maximum pull of the slingshot at α = 45◦

c maximum pull of the slingshot at α = 30◦

d maximum pull of the slingshot at α = 60◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 290) to achieve the maximumheight?

a α = 45◦

b α = π rad

c α = 0.5π rad

d α = 60◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 290) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +58/4/15+ y

Figure 286: Curve representing simple harmonic oscillations

Figure 287: Velocity-time graph

Figure 288: Car motion graph

y y

y +58/5/14+ y

Figure 289: Two pendulums, A and B, in the game �Cut the Rope�

Figure 290: Screenshot from the game �Angry Birds Star Wars�

y y

y +58/6/13+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

Question 3: a b c d

Question 4: a b c d

Question 5: a b c d

Question 6: a b c d

Question 7: a b c d

Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

Question 15: a b c d

Question 16: a b c d

Question 17: a b c d

Question 18: a b c d

Question 19: a b c d

Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +59/1/12+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299.792 458Mms−1

b 2.997 924 58× 109 m/s

c 2.997 924 58× 108 ms−1

d 299 792 458ms−1

Question 2 Average speed, savg, is de�ned as:

a total distance covered covered per unit time:

savg =total distance

∆t

b average velocity per unit time

savg =∆vavg

∆t

c average displacement per unit time

savg =∆x

∆t

d averege velocity of an object

savg = v̄

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a j(x)

b f(x)

c g(x)

d h(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a√

5

b 9

c 5

d 3

Question 5 The unit of force, expressed in base

SI units is:

a 1N

b 1 gm s−2

c 1 kgm s−2

d 1 lb

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs > ~fk

b ~fs < ~fkc ~fs = ~fk

d ~fs = −~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2 = 0

b K1 = K2

c K1 < K2

d K1 = −K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd

b W = ~F · ~dc W = Fd · sinφd W = mgh

y y

y +59/2/11+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 0 J

b W = 100 J

c W = −100 J

d W = 100N

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the potential energy is constant.

b the sum of kinetic energy and potential energycannot change.

c the system is also called �conservative.�

d the kinetic energy is equal to 0.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle in the op-posite direction of that force.

b the net force acting on the particle and is inthe direction of that force.

c the kinetic energy of the particle.

d the sum of kinetic and potential energy.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ v1i.b v2f ≈ 0.

c v2f ≈ −v1i.

d v2f ≈2m1

m2v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 2π radmin−1.

b 6.283 rad h−1.

c 60min.

d 1 rev.

Question 14 The �gure 291 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a π2.

b 1.5.

c 0.5.

d 3π2.

Question 15 The speed of traveling wave v isequal to:

a ωt

b λf

c 1T

d λT

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b transversal mechanical waves that can travelthrough solids, liquids, or gases.

c longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 292.Calculate road after 15 s.

a 100m

b 225m

c 675m

d 600m

Question 18 Figure 293 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 28m

b 34m

c 12m

d 45m

y y

y +59/3/10+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.2667

b 0.7415

c 0.9832

d 0.6667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

b v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

c v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

d v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 1.552m

b 2.134m

c 8.100m

d 3.781m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 294) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 11.658

b 0.603

c 2.75

d 0.364

Question 23 In the game �Angry Birds StarWars� (see Fig. 295) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a half of the maximum pull of the slingshot atα = 45◦

b maximum pull of the slingshot at α = 45◦

c maximum pull of the slingshot at α = 30◦

d maximum pull of the slingshot at α = 60◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 295) to achieve the maximumheight?

a α = 60◦

b α = π rad

c α = 0.5π rad

d α = 45◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 295) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +59/4/9+ y

Figure 291: Curve representing simple harmonic oscillations

Figure 292: Velocity-time graph

Figure 293: Car motion graph

y y

y +59/5/8+ y

Figure 294: Two pendulums, A and B, in the game �Cut the Rope�

Figure 295: Screenshot from the game �Angry Birds Star Wars�

y y

y +59/6/7+ y

Answers:

Name:

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Question 1: a b c d

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Question 11: a b c d

Question 12: a b c d

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Question 23: a b c d

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Question 25: a b

y y

y +60/1/6+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 108 ms−1

b 299.792 458Mms−1

c 2.997 924 58× 109 m/s

d 299 792 458ms−1

Question 2 Average speed, savg, is de�ned as:

a averege velocity of an object

savg = v̄

b total distance covered covered per unit time:

savg =total distance

∆t

c average displacement per unit time

savg =∆x

∆t

d average velocity per unit time

savg =∆vavg

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a f(x)

b h(x)

c g(x)

d j(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 9

b 3

c√

5

d 5

Question 5 The unit of force, expressed in base

SI units is:

a 1 lb

b 1 gm s−2

c 1 kgm s−2

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs < ~fk

b ~fs > ~fkc ~fs = ~fk

d ~fs = −~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = −K2

b K1 < K2

c K1 = K2 = 0

d K1 = K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd · sinφb W = ~F · ~dc W = Fd

d W = mgh

y y

y +60/2/5+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100N

b W = 100 J

c W = −100 J

d W = 0 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the kinetic energy is equal to 0.

b the potential energy is constant.

c the system is also called �conservative.�

d the sum of kinetic energy and potential energycannot change.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle and is inthe direction of that force.

b the sum of kinetic and potential energy.

c the net force acting on the particle in the op-posite direction of that force.

d the kinetic energy of the particle.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ v1i.b v2f ≈ 0.

c v2f ≈2m1

m2v1i.

d v2f ≈ −v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 60min.

b 1 rev.

c 6.283 rad h−1.

d 2π radmin−1.

Question 14 The �gure 296 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 0.5.

b π2.

c 3π2.

d 1.5.

Question 15 The speed of traveling wave v isequal to:

a ωt

b λT

c λf

d 1T

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

c longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d transversal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 297.Calculate road after 15 s.

a 675m

b 600m

c 225m

d 100m

Question 18 Figure 298 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 12m

b 28m

c 45m

d 34m

y y

y +60/3/4+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.2667

b 0.6667

c 0.9832

d 0.7415

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

d v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 3.781m

b 8.100m

c 1.552m

d 2.134m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 299) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.364

b 2.75

c 0.603

d 11.658

Question 23 In the game �Angry Birds StarWars� (see Fig. 300) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b maximum pull of the slingshot at α = 60◦

c half of the maximum pull of the slingshot atα = 45◦

d maximum pull of the slingshot at α = 30◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 300) to achieve the maximumheight?

a α = 60◦

b α = 0.5π rad

c α = π rad

d α = 45◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 300) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +60/4/3+ y

Figure 296: Curve representing simple harmonic oscillations

Figure 297: Velocity-time graph

Figure 298: Car motion graph

y y

y +60/5/2+ y

Figure 299: Two pendulums, A and B, in the game �Cut the Rope�

Figure 300: Screenshot from the game �Angry Birds Star Wars�

y y

y +60/6/1+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 4: a b c d

Question 5: a b c d

Question 6: a b c d

Question 7: a b c d

Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

Question 15: a b c d

Question 16: a b c d

Question 17: a b c d

Question 18: a b c d

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Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +61/1/60+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299 792 458ms−1

b 299.792 458Mms−1

c 2.997 924 58× 109 m/s

d 2.997 924 58× 108 ms−1

Question 2 Average speed, savg, is de�ned as:

a average velocity per unit time

savg =∆vavg

∆t

b total distance covered covered per unit time:

savg =total distance

∆t

c averege velocity of an object

savg = v̄

d average displacement per unit time

savg =∆x

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a g(x)

b f(x)

c j(x)

d h(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 9

b 3

c√

5

d 5

Question 5 The unit of force, expressed in base

SI units is:

a 1N

b 1 lb

c 1 kgm s−2

d 1 gm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs > ~fk

b ~fs < ~fkc ~fs = −~fkd ~fs = ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2 = 0

b K1 = K2

c K1 = −K2

d K1 < K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = mgh

b W = Fd · sinφc W = ~F · ~dd W = Fd

y y

y +61/2/59+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = −100 J

b W = 100 J

c W = 0 J

d W = 100N

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the sum of kinetic energy and potential energycannot change.

b the kinetic energy is equal to 0.

c the potential energy is constant.

d the system is also called �conservative.�

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle in the op-posite direction of that force.

b the net force acting on the particle and is inthe direction of that force.

c the sum of kinetic and potential energy.

d the kinetic energy of the particle.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈2m1

m2v1i.

b v2f ≈ −v1i.c v2f ≈ 0.

d v2f ≈ v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 60min.

b 6.283 rad h−1.

c 1 rev.

d 2π radmin−1.

Question 14 The �gure 301 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 0.5.

b π2.

c 3π2.

d 1.5.

Question 15 The speed of traveling wave v isequal to:

a 1T

b λT

c ωt

d λf

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b transversal mechanical waves that can travelthrough solids, liquids, or gases.

c transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 302.Calculate road after 15 s.

a 100m

b 600m

c 675m

d 225m

Question 18 Figure 303 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 28m

b 34m

c 12m

d 45m

y y

y +61/3/58+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.7415

b 0.2667

c 0.6667

d 0.9832

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

b v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

c v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

d v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 8.100m

b 2.134m

c 3.781m

d 1.552m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 304) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.364

b 2.75

c 11.658

d 0.603

Question 23 In the game �Angry Birds StarWars� (see Fig. 305) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 30◦

b maximum pull of the slingshot at α = 60◦

c maximum pull of the slingshot at α = 45◦

d half of the maximum pull of the slingshot atα = 45◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 305) to achieve the maximumheight?

a α = 60◦

b α = π rad

c α = 0.5π rad

d α = 45◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 305) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +61/4/57+ y

Figure 301: Curve representing simple harmonic oscillations

Figure 302: Velocity-time graph

Figure 303: Car motion graph

y y

y +61/5/56+ y

Figure 304: Two pendulums, A and B, in the game �Cut the Rope�

Figure 305: Screenshot from the game �Angry Birds Star Wars�

y y

y +61/6/55+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

Question 3: a b c d

Question 4: a b c d

Question 5: a b c d

Question 6: a b c d

Question 7: a b c d

Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

Question 15: a b c d

Question 16: a b c d

Question 17: a b c d

Question 18: a b c d

Question 19: a b c d

Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +62/1/54+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 108 ms−1

b 2.997 924 58× 109 m/s

c 299.792 458Mms−1

d 299 792 458ms−1

Question 2 Average speed, savg, is de�ned as:

a average displacement per unit time

savg =∆x

∆t

b average velocity per unit time

savg =∆vavg

∆t

c averege velocity of an object

savg = v̄

d total distance covered covered per unit time:

savg =total distance

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a h(x)

b g(x)

c f(x)

d j(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a√

5

b 3

c 5

d 9

Question 5 The unit of force, expressed in base

SI units is:

a 1 gm s−2

b 1 lb

c 1 kgm s−2

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = −~fkb ~fs > ~fkc ~fs = ~fk

d ~fs < ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 < K2

b K1 = K2

c K1 = K2 = 0

d K1 = −K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd

b W = ~F · ~dc W = Fd · sinφd W = mgh

y y

y +62/2/53+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100N

b W = −100 J

c W = 100 J

d W = 0 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the kinetic energy is equal to 0.

b the system is also called �conservative.�

c the sum of kinetic energy and potential energycannot change.

d the potential energy is constant.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the kinetic energy of the particle.

b the net force acting on the particle and is inthe direction of that force.

c the sum of kinetic and potential energy.

d the net force acting on the particle in the op-posite direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ −v1i.b v2f ≈ 0.

c v2f ≈ v1i.

d v2f ≈2m1

m2v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 60min.

b 1 rev.

c 2π radmin−1.

d 6.283 rad h−1.

Question 14 The �gure 306 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 0.5.

b 3π2.

c 1.5.

d π2.

Question 15 The speed of traveling wave v isequal to:

a λT

b 1T

c ωt

d λf

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c transversal mechanical waves that can travelthrough solids, liquids, or gases.

d longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 307.Calculate road after 15 s.

a 225m

b 100m

c 600m

d 675m

Question 18 Figure 308 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 45m

b 12m

c 28m

d 34m

y y

y +62/3/52+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.7415

b 0.2667

c 0.6667

d 0.9832

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

b v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

c v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

d v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 2.134m

b 1.552m

c 3.781m

d 8.100m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 309) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.603

b 11.658

c 2.75

d 0.364

Question 23 In the game �Angry Birds StarWars� (see Fig. 310) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 60◦

b maximum pull of the slingshot at α = 30◦

c maximum pull of the slingshot at α = 45◦

d half of the maximum pull of the slingshot atα = 45◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 310) to achieve the maximumheight?

a α = 45◦

b α = 60◦

c α = 0.5π rad

d α = π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 310) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +62/4/51+ y

Figure 306: Curve representing simple harmonic oscillations

Figure 307: Velocity-time graph

Figure 308: Car motion graph

y y

y +62/5/50+ y

Figure 309: Two pendulums, A and B, in the game �Cut the Rope�

Figure 310: Screenshot from the game �Angry Birds Star Wars�

y y

y +62/6/49+ y

Answers:

Name:

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Question 1: a b c d

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Question 25: a b

y y

y +63/1/48+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 108 ms−1

b 299.792 458Mms−1

c 2.997 924 58× 109 m/s

d 299 792 458ms−1

Question 2 Average speed, savg, is de�ned as:

a average velocity per unit time

savg =∆vavg

∆t

b average displacement per unit time

savg =∆x

∆t

c total distance covered covered per unit time:

savg =total distance

∆t

d averege velocity of an object

savg = v̄

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a h(x)

b g(x)

c f(x)

d j(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a√

5

b 3

c 5

d 9

Question 5 The unit of force, expressed in base

SI units is:

a 1N

b 1 gm s−2

c 1 lb

d 1 kgm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = −~fkb ~fs > ~fkc ~fs = ~fk

d ~fs < ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2

b K1 < K2

c K1 = −K2

d K1 = K2 = 0

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = mgh

b W = ~F · ~dc W = Fd · sinφd W = Fd

y y

y +63/2/47+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100N

b W = 100 J

c W = 0 J

d W = −100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the system is also called �conservative.�

b the potential energy is constant.

c the sum of kinetic energy and potential energycannot change.

d the kinetic energy is equal to 0.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the kinetic energy of the particle.

b the sum of kinetic and potential energy.

c the net force acting on the particle and is inthe direction of that force.

d the net force acting on the particle in the op-posite direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ −v1i.

b v2f ≈2m1

m2v1i.

c v2f ≈ 0.

d v2f ≈ v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 6.283 rad h−1.

b 60min.

c 1 rev.

d 2π radmin−1.

Question 14 The �gure 311 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 0.5.

b 3π2.

c π2.

d 1.5.

Question 15 The speed of traveling wave v isequal to:

a λf

b 1T

c ωt

d λT

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b transversal mechanical waves that can travelthrough solids, liquids, or gases.

c longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

d longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 312.Calculate road after 15 s.

a 100m

b 225m

c 600m

d 675m

Question 18 Figure 313 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 45m

b 28m

c 12m

d 34m

y y

y +63/3/46+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.6667

b 0.7415

c 0.9832

d 0.2667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

b v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

c v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

d v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 3.781m

b 2.134m

c 8.100m

d 1.552m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 314) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 2.75

b 11.658

c 0.603

d 0.364

Question 23 In the game �Angry Birds StarWars� (see Fig. 315) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 60◦

b half of the maximum pull of the slingshot atα = 45◦

c maximum pull of the slingshot at α = 30◦

d maximum pull of the slingshot at α = 45◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 315) to achieve the maximumheight?

a α = π rad

b α = 60◦

c α = 0.5π rad

d α = 45◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 315) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +63/4/45+ y

Figure 311: Curve representing simple harmonic oscillations

Figure 312: Velocity-time graph

Figure 313: Car motion graph

y y

y +63/5/44+ y

Figure 314: Two pendulums, A and B, in the game �Cut the Rope�

Figure 315: Screenshot from the game �Angry Birds Star Wars�

y y

y +63/6/43+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

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Question 16: a b c d

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Question 18: a b c d

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Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +64/1/42+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 109 m/s

b 299 792 458ms−1

c 2.997 924 58× 108 ms−1

d 299.792 458Mms−1

Question 2 Average speed, savg, is de�ned as:

a total distance covered covered per unit time:

savg =total distance

∆t

b average displacement per unit time

savg =∆x

∆t

c averege velocity of an object

savg = v̄

d average velocity per unit time

savg =∆vavg

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a h(x)

b g(x)

c f(x)

d j(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 5

b 3

c 9

d√

5

Question 5 The unit of force, expressed in base

SI units is:

a 1 kgm s−2

b 1N

c 1 gm s−2

d 1 lb

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs < ~fk

b ~fs > ~fkc ~fs = −~fkd ~fs = ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 < K2

b K1 = K2 = 0

c K1 = −K2

d K1 = K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd · sinφb W = Fd

c W = ~F · ~dd W = mgh

y y

y +64/2/41+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = −100 J

b W = 100 J

c W = 100N

d W = 0 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the sum of kinetic energy and potential energycannot change.

b the system is also called �conservative.�

c the kinetic energy is equal to 0.

d the potential energy is constant.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle and is inthe direction of that force.

b the net force acting on the particle in the op-posite direction of that force.

c the kinetic energy of the particle.

d the sum of kinetic and potential energy.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ 0.

b v2f ≈ v1i.c v2f ≈ −v1i.

d v2f ≈2m1

m2v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 60min.

b 2π radmin−1.

c 1 rev.

d 6.283 rad h−1.

Question 14 The �gure 316 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 0.5.

b 3π2.

c π2.

d 1.5.

Question 15 The speed of traveling wave v isequal to:

a ωt

b λf

c λT

d 1T

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

b transversal mechanical waves that can travelthrough solids, liquids, or gases.

c transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 317.Calculate road after 15 s.

a 600m

b 100m

c 225m

d 675m

Question 18 Figure 318 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 45m

b 28m

c 12m

d 34m

y y

y +64/3/40+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.7415

b 0.2667

c 0.6667

d 0.9832

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

d v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 8.100m

b 2.134m

c 3.781m

d 1.552m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 319) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 2.75

b 0.364

c 0.603

d 11.658

Question 23 In the game �Angry Birds StarWars� (see Fig. 320) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b half of the maximum pull of the slingshot atα = 45◦

c maximum pull of the slingshot at α = 60◦

d maximum pull of the slingshot at α = 30◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 320) to achieve the maximumheight?

a α = 45◦

b α = 60◦

c α = 0.5π rad

d α = π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 320) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +64/4/39+ y

Figure 316: Curve representing simple harmonic oscillations

Figure 317: Velocity-time graph

Figure 318: Car motion graph

y y

y +64/5/38+ y

Figure 319: Two pendulums, A and B, in the game �Cut the Rope�

Figure 320: Screenshot from the game �Angry Birds Star Wars�

y y

y +64/6/37+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

Question 3: a b c d

Question 4: a b c d

Question 5: a b c d

Question 6: a b c d

Question 7: a b c d

Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

Question 15: a b c d

Question 16: a b c d

Question 17: a b c d

Question 18: a b c d

Question 19: a b c d

Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +65/1/36+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299.792 458Mms−1

b 2.997 924 58× 109 m/s

c 2.997 924 58× 108 ms−1

d 299 792 458ms−1

Question 2 Average speed, savg, is de�ned as:

a average velocity per unit time

savg =∆vavg

∆t

b total distance covered covered per unit time:

savg =total distance

∆t

c average displacement per unit time

savg =∆x

∆t

d averege velocity of an object

savg = v̄

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a j(x)

b g(x)

c h(x)

d f(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 3

b√

5

c 5

d 9

Question 5 The unit of force, expressed in base

SI units is:

a 1 kgm s−2

b 1 gm s−2

c 1 lb

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = −~fkb ~fs > ~fkc ~fs = ~fk

d ~fs < ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2

b K1 = K2 = 0

c K1 < K2

d K1 = −K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd

b W = mgh

c W = ~F · ~dd W = Fd · sinφ

y y

y +65/2/35+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = −100 J

b W = 100 J

c W = 0 J

d W = 100N

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the potential energy is constant.

b the kinetic energy is equal to 0.

c the system is also called �conservative.�

d the sum of kinetic energy and potential energycannot change.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the kinetic energy of the particle.

b the sum of kinetic and potential energy.

c the net force acting on the particle in the op-posite direction of that force.

d the net force acting on the particle and is inthe direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ v1i.

b v2f ≈2m1

m2v1i.

c v2f ≈ −v1i.d v2f ≈ 0.

Question 13 What is the angular velocity ω ofa long clock hand?

a 60min.

b 2π radmin−1.

c 6.283 rad h−1.

d 1 rev.

Question 14 The �gure 321 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 3π2.

b 1.5.

c 0.5.

d π2.

Question 15 The speed of traveling wave v isequal to:

a λf

b λT

c ωt

d 1T

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

d transversal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 322.Calculate road after 15 s.

a 600m

b 675m

c 225m

d 100m

Question 18 Figure 323 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 28m

b 12m

c 34m

d 45m

y y

y +65/3/34+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.2667

b 0.9832

c 0.7415

d 0.6667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

b v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

c v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

d v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 8.100m

b 2.134m

c 3.781m

d 1.552m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 324) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 11.658

b 0.364

c 0.603

d 2.75

Question 23 In the game �Angry Birds StarWars� (see Fig. 325) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 60◦

b maximum pull of the slingshot at α = 45◦

c half of the maximum pull of the slingshot atα = 45◦

d maximum pull of the slingshot at α = 30◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 325) to achieve the maximumheight?

a α = 60◦

b α = π rad

c α = 45◦

d α = 0.5π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 325) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +65/4/33+ y

Figure 321: Curve representing simple harmonic oscillations

Figure 322: Velocity-time graph

Figure 323: Car motion graph

y y

y +65/5/32+ y

Figure 324: Two pendulums, A and B, in the game �Cut the Rope�

Figure 325: Screenshot from the game �Angry Birds Star Wars�

y y

y +65/6/31+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

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Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +66/1/30+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299.792 458Mms−1

b 2.997 924 58× 108 ms−1

c 299 792 458ms−1

d 2.997 924 58× 109 m/s

Question 2 Average speed, savg, is de�ned as:

a average velocity per unit time

savg =∆vavg

∆t

b average displacement per unit time

savg =∆x

∆t

c total distance covered covered per unit time:

savg =total distance

∆t

d averege velocity of an object

savg = v̄

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a f(x)

b h(x)

c j(x)

d g(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a√

5

b 5

c 9

d 3

Question 5 The unit of force, expressed in base

SI units is:

a 1N

b 1 lb

c 1 kgm s−2

d 1 gm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs > ~fk

b ~fs = −~fkc ~fs < ~fk

d ~fs = ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2

b K1 = K2 = 0

c K1 = −K2

d K1 < K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = ~F · ~db W = mgh

c W = Fd · sinφd W = Fd

y y

y +66/2/29+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100 J

b W = −100 J

c W = 0 J

d W = 100N

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the potential energy is constant.

b the system is also called �conservative.�

c the sum of kinetic energy and potential energycannot change.

d the kinetic energy is equal to 0.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the sum of kinetic and potential energy.

b the kinetic energy of the particle.

c the net force acting on the particle and is inthe direction of that force.

d the net force acting on the particle in the op-posite direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ v1i.b v2f ≈ −v1i.c v2f ≈ 0.

d v2f ≈2m1

m2v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 2π radmin−1.

b 60min.

c 6.283 rad h−1.

d 1 rev.

Question 14 The �gure 326 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 3π2.

b 1.5.

c 0.5.

d π2.

Question 15 The speed of traveling wave v isequal to:

a ωt

b λT

c 1T

d λf

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b transversal mechanical waves that can travelthrough solids, liquids, or gases.

c longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

d transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 327.Calculate road after 15 s.

a 600m

b 225m

c 100m

d 675m

Question 18 Figure 328 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 28m

b 34m

c 12m

d 45m

y y

y +66/3/28+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.2667

b 0.6667

c 0.9832

d 0.7415

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

b v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

c v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

d v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 1.552m

b 8.100m

c 2.134m

d 3.781m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 329) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 11.658

b 0.364

c 2.75

d 0.603

Question 23 In the game �Angry Birds StarWars� (see Fig. 330) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 60◦

b maximum pull of the slingshot at α = 45◦

c half of the maximum pull of the slingshot atα = 45◦

d maximum pull of the slingshot at α = 30◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 330) to achieve the maximumheight?

a α = π rad

b α = 60◦

c α = 0.5π rad

d α = 45◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 330) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +66/4/27+ y

Figure 326: Curve representing simple harmonic oscillations

Figure 327: Velocity-time graph

Figure 328: Car motion graph

y y

y +66/5/26+ y

Figure 329: Two pendulums, A and B, in the game �Cut the Rope�

Figure 330: Screenshot from the game �Angry Birds Star Wars�

y y

y +66/6/25+ y

Answers:

Name:

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Question 11: a b c d

Question 12: a b c d

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Question 18: a b c d

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Question 23: a b c d

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Question 25: a b

y y

y +67/1/24+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299.792 458Mms−1

b 299 792 458ms−1

c 2.997 924 58× 108 ms−1

d 2.997 924 58× 109 m/s

Question 2 Average speed, savg, is de�ned as:

a total distance covered covered per unit time:

savg =total distance

∆t

b average velocity per unit time

savg =∆vavg

∆t

c averege velocity of an object

savg = v̄

d average displacement per unit time

savg =∆x

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a h(x)

b g(x)

c j(x)

d f(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 3

b√

5

c 5

d 9

Question 5 The unit of force, expressed in base

SI units is:

a 1N

b 1 lb

c 1 gm s−2

d 1 kgm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs < ~fk

b ~fs = ~fkc ~fs = −~fkd ~fs > ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2 = 0

b K1 = K2

c K1 = −K2

d K1 < K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd

b W = Fd · sinφc W = mgh

d W = ~F · ~d

y y

y +67/2/23+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = −100 J

b W = 0 J

c W = 100 J

d W = 100N

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the kinetic energy is equal to 0.

b the potential energy is constant.

c the sum of kinetic energy and potential energycannot change.

d the system is also called �conservative.�

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle and is inthe direction of that force.

b the sum of kinetic and potential energy.

c the kinetic energy of the particle.

d the net force acting on the particle in the op-posite direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ −v1i.

b v2f ≈2m1

m2v1i.

c v2f ≈ 0.

d v2f ≈ v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 2π radmin−1.

b 6.283 rad h−1.

c 60min.

d 1 rev.

Question 14 The �gure 331 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 1.5.

b 0.5.

c 3π2.

d π2.

Question 15 The speed of traveling wave v isequal to:

a ωt

b λf

c 1T

d λT

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b transversal mechanical waves that can travelthrough solids, liquids, or gases.

c longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

d transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 332.Calculate road after 15 s.

a 675m

b 225m

c 100m

d 600m

Question 18 Figure 333 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 34m

b 28m

c 12m

d 45m

y y

y +67/3/22+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.7415

b 0.2667

c 0.6667

d 0.9832

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

d v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 3.781m

b 2.134m

c 8.100m

d 1.552m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 334) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 11.658

b 0.364

c 2.75

d 0.603

Question 23 In the game �Angry Birds StarWars� (see Fig. 335) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b maximum pull of the slingshot at α = 60◦

c half of the maximum pull of the slingshot atα = 45◦

d maximum pull of the slingshot at α = 30◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 335) to achieve the maximumheight?

a α = 45◦

b α = 60◦

c α = π rad

d α = 0.5π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 335) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +67/4/21+ y

Figure 331: Curve representing simple harmonic oscillations

Figure 332: Velocity-time graph

Figure 333: Car motion graph

y y

y +67/5/20+ y

Figure 334: Two pendulums, A and B, in the game �Cut the Rope�

Figure 335: Screenshot from the game �Angry Birds Star Wars�

y y

y +67/6/19+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 6: a b c d

Question 7: a b c d

Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

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Question 18: a b c d

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Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +68/1/18+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299.792 458Mms−1

b 2.997 924 58× 109 m/s

c 299 792 458ms−1

d 2.997 924 58× 108 ms−1

Question 2 Average speed, savg, is de�ned as:

a average displacement per unit time

savg =∆x

∆t

b average velocity per unit time

savg =∆vavg

∆t

c averege velocity of an object

savg = v̄

d total distance covered covered per unit time:

savg =total distance

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a h(x)

b j(x)

c g(x)

d f(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 3

b√

5

c 5

d 9

Question 5 The unit of force, expressed in base

SI units is:

a 1 lb

b 1 gm s−2

c 1N

d 1 kgm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs < ~fk

b ~fs = ~fkc ~fs > ~fk

d ~fs = −~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 < K2

b K1 = K2

c K1 = K2 = 0

d K1 = −K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = ~F · ~db W = Fd

c W = Fd · sinφd W = mgh

y y

y +68/2/17+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = −100 J

b W = 100N

c W = 100 J

d W = 0 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the system is also called �conservative.�

b the potential energy is constant.

c the kinetic energy is equal to 0.

d the sum of kinetic energy and potential energycannot change.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle in the op-posite direction of that force.

b the sum of kinetic and potential energy.

c the net force acting on the particle and is inthe direction of that force.

d the kinetic energy of the particle.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ −v1i.b v2f ≈ 0.

c v2f ≈2m1

m2v1i.

d v2f ≈ v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 2π radmin−1.

b 6.283 rad h−1.

c 60min.

d 1 rev.

Question 14 The �gure 336 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 3π2.

b 1.5.

c 0.5.

d π2.

Question 15 The speed of traveling wave v isequal to:

a λf

b ωt

c 1T

d λT

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough solids, liquids, or gases.

b transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

d longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 337.Calculate road after 15 s.

a 225m

b 600m

c 100m

d 675m

Question 18 Figure 338 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 34m

b 28m

c 12m

d 45m

y y

y +68/3/16+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.6667

b 0.9832

c 0.2667

d 0.7415

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

b v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

c v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

d v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 3.781m

b 1.552m

c 8.100m

d 2.134m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 339) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 11.658

b 0.603

c 0.364

d 2.75

Question 23 In the game �Angry Birds StarWars� (see Fig. 340) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b half of the maximum pull of the slingshot atα = 45◦

c maximum pull of the slingshot at α = 60◦

d maximum pull of the slingshot at α = 30◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 340) to achieve the maximumheight?

a α = 0.5π rad

b α = 60◦

c α = π rad

d α = 45◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 340) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +68/4/15+ y

Figure 336: Curve representing simple harmonic oscillations

Figure 337: Velocity-time graph

Figure 338: Car motion graph

y y

y +68/5/14+ y

Figure 339: Two pendulums, A and B, in the game �Cut the Rope�

Figure 340: Screenshot from the game �Angry Birds Star Wars�

y y

y +68/6/13+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 9: a b c d

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Question 11: a b c d

Question 12: a b c d

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Question 22: a b c d

Question 23: a b c d

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Question 25: a b

y y

y +69/1/12+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 109 m/s

b 299 792 458ms−1

c 299.792 458Mms−1

d 2.997 924 58× 108 ms−1

Question 2 Average speed, savg, is de�ned as:

a average displacement per unit time

savg =∆x

∆t

b total distance covered covered per unit time:

savg =total distance

∆t

c average velocity per unit time

savg =∆vavg

∆t

d averege velocity of an object

savg = v̄

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a h(x)

b g(x)

c f(x)

d j(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 9

b 3

c√

5

d 5

Question 5 The unit of force, expressed in base

SI units is:

a 1 lb

b 1 kgm s−2

c 1 gm s−2

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs > ~fk

b ~fs < ~fkc ~fs = −~fkd ~fs = ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2 = 0

b K1 = K2

c K1 = −K2

d K1 < K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = ~F · ~db W = Fd

c W = mgh

d W = Fd · sinφ

y y

y +69/2/11+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100 J

b W = 0 J

c W = 100N

d W = −100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the system is also called �conservative.�

b the sum of kinetic energy and potential energycannot change.

c the potential energy is constant.

d the kinetic energy is equal to 0.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle in the op-posite direction of that force.

b the kinetic energy of the particle.

c the net force acting on the particle and is inthe direction of that force.

d the sum of kinetic and potential energy.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ 0.

b v2f ≈ v1i.c v2f ≈

2m1

m2v1i.

d v2f ≈ −v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 1 rev.

b 6.283 rad h−1.

c 60min.

d 2π radmin−1.

Question 14 The �gure 341 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 1.5.

b 3π2.

c π2.

d 0.5.

Question 15 The speed of traveling wave v isequal to:

a λT

b λf

c 1T

d ωt

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

b longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c transversal mechanical waves that can travelthrough solids, liquids, or gases.

d transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 342.Calculate road after 15 s.

a 225m

b 675m

c 100m

d 600m

Question 18 Figure 343 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 12m

b 45m

c 28m

d 34m

y y

y +69/3/10+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.6667

b 0.7415

c 0.9832

d 0.2667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

d v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 3.781m

b 2.134m

c 8.100m

d 1.552m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 344) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 11.658

b 0.364

c 2.75

d 0.603

Question 23 In the game �Angry Birds StarWars� (see Fig. 345) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a half of the maximum pull of the slingshot atα = 45◦

b maximum pull of the slingshot at α = 60◦

c maximum pull of the slingshot at α = 45◦

d maximum pull of the slingshot at α = 30◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 345) to achieve the maximumheight?

a α = π rad

b α = 45◦

c α = 60◦

d α = 0.5π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 345) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +69/4/9+ y

Figure 341: Curve representing simple harmonic oscillations

Figure 342: Velocity-time graph

Figure 343: Car motion graph

y y

y +69/5/8+ y

Figure 344: Two pendulums, A and B, in the game �Cut the Rope�

Figure 345: Screenshot from the game �Angry Birds Star Wars�

y y

y +69/6/7+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

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Question 9: a b c d

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Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

Question 15: a b c d

Question 16: a b c d

Question 17: a b c d

Question 18: a b c d

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Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +70/1/6+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299 792 458ms−1

b 2.997 924 58× 109 m/s

c 299.792 458Mms−1

d 2.997 924 58× 108 ms−1

Question 2 Average speed, savg, is de�ned as:

a average displacement per unit time

savg =∆x

∆t

b average velocity per unit time

savg =∆vavg

∆t

c total distance covered covered per unit time:

savg =total distance

∆t

d averege velocity of an object

savg = v̄

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a h(x)

b f(x)

c g(x)

d j(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 5

b 9

c 3

d√

5

Question 5 The unit of force, expressed in base

SI units is:

a 1 kgm s−2

b 1 lb

c 1N

d 1 gm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs < ~fk

b ~fs = −~fkc ~fs = ~fk

d ~fs > ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 < K2

b K1 = −K2

c K1 = K2

d K1 = K2 = 0

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = ~F · ~db W = Fd · sinφc W = mgh

d W = Fd

y y

y +70/2/5+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 0 J

b W = −100 J

c W = 100N

d W = 100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the sum of kinetic energy and potential energycannot change.

b the kinetic energy is equal to 0.

c the system is also called �conservative.�

d the potential energy is constant.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle in the op-posite direction of that force.

b the kinetic energy of the particle.

c the net force acting on the particle and is inthe direction of that force.

d the sum of kinetic and potential energy.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ −v1i.b v2f ≈ v1i.c v2f ≈ 0.

d v2f ≈2m1

m2v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 60min.

b 2π radmin−1.

c 6.283 rad h−1.

d 1 rev.

Question 14 The �gure 346 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a π2.

b 3π2.

c 1.5.

d 0.5.

Question 15 The speed of traveling wave v isequal to:

a λT

b λf

c 1T

d ωt

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b transversal mechanical waves that can travelthrough solids, liquids, or gases.

c longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 347.Calculate road after 15 s.

a 600m

b 100m

c 225m

d 675m

Question 18 Figure 348 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 45m

b 34m

c 12m

d 28m

y y

y +70/3/4+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.9832

b 0.6667

c 0.7415

d 0.2667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

b v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

c v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

d v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 3.781m

b 2.134m

c 8.100m

d 1.552m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 349) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.364

b 11.658

c 0.603

d 2.75

Question 23 In the game �Angry Birds StarWars� (see Fig. 350) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 30◦

b maximum pull of the slingshot at α = 60◦

c half of the maximum pull of the slingshot atα = 45◦

d maximum pull of the slingshot at α = 45◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 350) to achieve the maximumheight?

a α = 45◦

b α = π rad

c α = 0.5π rad

d α = 60◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 350) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +70/4/3+ y

Figure 346: Curve representing simple harmonic oscillations

Figure 347: Velocity-time graph

Figure 348: Car motion graph

y y

y +70/5/2+ y

Figure 349: Two pendulums, A and B, in the game �Cut the Rope�

Figure 350: Screenshot from the game �Angry Birds Star Wars�

y y

y +70/6/1+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 7: a b c d

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Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

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Question 16: a b c d

Question 17: a b c d

Question 18: a b c d

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Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +71/1/60+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299.792 458Mms−1

b 2.997 924 58× 109 m/s

c 299 792 458ms−1

d 2.997 924 58× 108 ms−1

Question 2 Average speed, savg, is de�ned as:

a averege velocity of an object

savg = v̄

b average displacement per unit time

savg =∆x

∆t

c average velocity per unit time

savg =∆vavg

∆t

d total distance covered covered per unit time:

savg =total distance

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a h(x)

b f(x)

c g(x)

d j(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 9

b√

5

c 5

d 3

Question 5 The unit of force, expressed in base

SI units is:

a 1 kgm s−2

b 1 lb

c 1N

d 1 gm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = ~fk

b ~fs > ~fkc ~fs = −~fkd ~fs < ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2

b K1 < K2

c K1 = K2 = 0

d K1 = −K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = ~F · ~db W = Fd

c W = mgh

d W = Fd · sinφ

y y

y +71/2/59+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = −100 J

b W = 100 J

c W = 0 J

d W = 100N

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the sum of kinetic energy and potential energycannot change.

b the kinetic energy is equal to 0.

c the system is also called �conservative.�

d the potential energy is constant.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle and is inthe direction of that force.

b the kinetic energy of the particle.

c the sum of kinetic and potential energy.

d the net force acting on the particle in the op-posite direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ v1i.

b v2f ≈2m1

m2v1i.

c v2f ≈ −v1i.d v2f ≈ 0.

Question 13 What is the angular velocity ω ofa long clock hand?

a 2π radmin−1.

b 1 rev.

c 60min.

d 6.283 rad h−1.

Question 14 The �gure 351 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 3π2.

b π2.

c 0.5.

d 1.5.

Question 15 The speed of traveling wave v isequal to:

a λf

b ωt

c 1T

d λT

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b transversal mechanical waves that can travelthrough solids, liquids, or gases.

c transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 352.Calculate road after 15 s.

a 100m

b 600m

c 225m

d 675m

Question 18 Figure 353 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 12m

b 34m

c 28m

d 45m

y y

y +71/3/58+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.2667

b 0.6667

c 0.7415

d 0.9832

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

b v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

c v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

d v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 3.781m

b 1.552m

c 2.134m

d 8.100m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 354) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 2.75

b 11.658

c 0.364

d 0.603

Question 23 In the game �Angry Birds StarWars� (see Fig. 355) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 30◦

b maximum pull of the slingshot at α = 60◦

c half of the maximum pull of the slingshot atα = 45◦

d maximum pull of the slingshot at α = 45◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 355) to achieve the maximumheight?

a α = 45◦

b α = 60◦

c α = π rad

d α = 0.5π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 355) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +71/4/57+ y

Figure 351: Curve representing simple harmonic oscillations

Figure 352: Velocity-time graph

Figure 353: Car motion graph

y y

y +71/5/56+ y

Figure 354: Two pendulums, A and B, in the game �Cut the Rope�

Figure 355: Screenshot from the game �Angry Birds Star Wars�

y y

y +71/6/55+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

Question 3: a b c d

Question 4: a b c d

Question 5: a b c d

Question 6: a b c d

Question 7: a b c d

Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

Question 15: a b c d

Question 16: a b c d

Question 17: a b c d

Question 18: a b c d

Question 19: a b c d

Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +72/1/54+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 108 ms−1

b 299 792 458ms−1

c 299.792 458Mms−1

d 2.997 924 58× 109 m/s

Question 2 Average speed, savg, is de�ned as:

a average displacement per unit time

savg =∆x

∆t

b average velocity per unit time

savg =∆vavg

∆t

c averege velocity of an object

savg = v̄

d total distance covered covered per unit time:

savg =total distance

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a h(x)

b g(x)

c j(x)

d f(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a√

5

b 9

c 3

d 5

Question 5 The unit of force, expressed in base

SI units is:

a 1N

b 1 gm s−2

c 1 lb

d 1 kgm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs > ~fk

b ~fs < ~fkc ~fs = ~fk

d ~fs = −~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2

b K1 < K2

c K1 = −K2

d K1 = K2 = 0

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd · sinφb W = mgh

c W = Fd

d W = ~F · ~d

y y

y +72/2/53+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 0 J

b W = 100N

c W = −100 J

d W = 100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the kinetic energy is equal to 0.

b the sum of kinetic energy and potential energycannot change.

c the potential energy is constant.

d the system is also called �conservative.�

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the kinetic energy of the particle.

b the sum of kinetic and potential energy.

c the net force acting on the particle and is inthe direction of that force.

d the net force acting on the particle in the op-posite direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ 0.

b v2f ≈2m1

m2v1i.

c v2f ≈ −v1i.d v2f ≈ v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 6.283 rad h−1.

b 60min.

c 1 rev.

d 2π radmin−1.

Question 14 The �gure 356 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a π2.

b 0.5.

c 3π2.

d 1.5.

Question 15 The speed of traveling wave v isequal to:

a ωt

b λf

c λT

d 1T

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b transversal mechanical waves that can travelthrough solids, liquids, or gases.

c longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

d transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 357.Calculate road after 15 s.

a 100m

b 675m

c 225m

d 600m

Question 18 Figure 358 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 12m

b 45m

c 34m

d 28m

y y

y +72/3/52+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.9832

b 0.2667

c 0.6667

d 0.7415

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

b v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

c v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

d v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 2.134m

b 1.552m

c 3.781m

d 8.100m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 359) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 2.75

b 0.364

c 0.603

d 11.658

Question 23 In the game �Angry Birds StarWars� (see Fig. 360) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a half of the maximum pull of the slingshot atα = 45◦

b maximum pull of the slingshot at α = 60◦

c maximum pull of the slingshot at α = 45◦

d maximum pull of the slingshot at α = 30◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 360) to achieve the maximumheight?

a α = 0.5π rad

b α = 60◦

c α = 45◦

d α = π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 360) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +72/4/51+ y

Figure 356: Curve representing simple harmonic oscillations

Figure 357: Velocity-time graph

Figure 358: Car motion graph

y y

y +72/5/50+ y

Figure 359: Two pendulums, A and B, in the game �Cut the Rope�

Figure 360: Screenshot from the game �Angry Birds Star Wars�

y y

y +72/6/49+ y

Answers:

Name:

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Question 1: a b c d

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Question 11: a b c d

Question 12: a b c d

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Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +73/1/48+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 108 ms−1

b 2.997 924 58× 109 m/s

c 299 792 458ms−1

d 299.792 458Mms−1

Question 2 Average speed, savg, is de�ned as:

a averege velocity of an object

savg = v̄

b average velocity per unit time

savg =∆vavg

∆t

c average displacement per unit time

savg =∆x

∆t

d total distance covered covered per unit time:

savg =total distance

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a j(x)

b h(x)

c g(x)

d f(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 3

b 9

c 5

d√

5

Question 5 The unit of force, expressed in base

SI units is:

a 1 kgm s−2

b 1 gm s−2

c 1 lb

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = ~fk

b ~fs > ~fkc ~fs < ~fk

d ~fs = −~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = −K2

b K1 < K2

c K1 = K2 = 0

d K1 = K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd · sinφb W = ~F · ~dc W = Fd

d W = mgh

y y

y +73/2/47+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100 J

b W = 100N

c W = 0 J

d W = −100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the potential energy is constant.

b the system is also called �conservative.�

c the kinetic energy is equal to 0.

d the sum of kinetic energy and potential energycannot change.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle in the op-posite direction of that force.

b the net force acting on the particle and is inthe direction of that force.

c the sum of kinetic and potential energy.

d the kinetic energy of the particle.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ −v1i.b v2f ≈ 0.

c v2f ≈2m1

m2v1i.

d v2f ≈ v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 1 rev.

b 60min.

c 2π radmin−1.

d 6.283 rad h−1.

Question 14 The �gure 361 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a π2.

b 3π2.

c 0.5.

d 1.5.

Question 15 The speed of traveling wave v isequal to:

a λT

b λf

c ωt

d 1T

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c transversal mechanical waves that can travelthrough solids, liquids, or gases.

d longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 362.Calculate road after 15 s.

a 225m

b 675m

c 100m

d 600m

Question 18 Figure 363 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 12m

b 45m

c 34m

d 28m

y y

y +73/3/46+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.6667

b 0.7415

c 0.2667

d 0.9832

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

b v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

c v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

d v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 1.552m

b 8.100m

c 2.134m

d 3.781m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 364) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.364

b 2.75

c 0.603

d 11.658

Question 23 In the game �Angry Birds StarWars� (see Fig. 365) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a half of the maximum pull of the slingshot atα = 45◦

b maximum pull of the slingshot at α = 45◦

c maximum pull of the slingshot at α = 30◦

d maximum pull of the slingshot at α = 60◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 365) to achieve the maximumheight?

a α = π rad

b α = 60◦

c α = 45◦

d α = 0.5π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 365) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +73/4/45+ y

Figure 361: Curve representing simple harmonic oscillations

Figure 362: Velocity-time graph

Figure 363: Car motion graph

y y

y +73/5/44+ y

Figure 364: Two pendulums, A and B, in the game �Cut the Rope�

Figure 365: Screenshot from the game �Angry Birds Star Wars�

y y

y +73/6/43+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 4: a b c d

Question 5: a b c d

Question 6: a b c d

Question 7: a b c d

Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

Question 15: a b c d

Question 16: a b c d

Question 17: a b c d

Question 18: a b c d

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Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +74/1/42+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 109 m/s

b 2.997 924 58× 108 ms−1

c 299.792 458Mms−1

d 299 792 458ms−1

Question 2 Average speed, savg, is de�ned as:

a total distance covered covered per unit time:

savg =total distance

∆t

b average displacement per unit time

savg =∆x

∆t

c averege velocity of an object

savg = v̄

d average velocity per unit time

savg =∆vavg

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a f(x)

b h(x)

c j(x)

d g(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 9

b 5

c√

5

d 3

Question 5 The unit of force, expressed in base

SI units is:

a 1 kgm s−2

b 1 gm s−2

c 1 lb

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs < ~fk

b ~fs = −~fkc ~fs = ~fk

d ~fs > ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2

b K1 = −K2

c K1 < K2

d K1 = K2 = 0

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = ~F · ~db W = mgh

c W = Fd · sinφd W = Fd

y y

y +74/2/41+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100 J

b W = 100N

c W = −100 J

d W = 0 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the kinetic energy is equal to 0.

b the potential energy is constant.

c the system is also called �conservative.�

d the sum of kinetic energy and potential energycannot change.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle in the op-posite direction of that force.

b the net force acting on the particle and is inthe direction of that force.

c the kinetic energy of the particle.

d the sum of kinetic and potential energy.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈2m1

m2v1i.

b v2f ≈ −v1i.c v2f ≈ v1i.d v2f ≈ 0.

Question 13 What is the angular velocity ω ofa long clock hand?

a 6.283 rad h−1.

b 60min.

c 1 rev.

d 2π radmin−1.

Question 14 The �gure 366 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a π2.

b 1.5.

c 3π2.

d 0.5.

Question 15 The speed of traveling wave v isequal to:

a 1T

b λf

c ωt

d λT

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough solids, liquids, or gases.

b transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

d longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 367.Calculate road after 15 s.

a 225m

b 600m

c 675m

d 100m

Question 18 Figure 368 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 34m

b 28m

c 45m

d 12m

y y

y +74/3/40+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.9832

b 0.2667

c 0.7415

d 0.6667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

b v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

c v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

d v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 1.552m

b 2.134m

c 8.100m

d 3.781m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 369) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.364

b 2.75

c 11.658

d 0.603

Question 23 In the game �Angry Birds StarWars� (see Fig. 370) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a half of the maximum pull of the slingshot atα = 45◦

b maximum pull of the slingshot at α = 60◦

c maximum pull of the slingshot at α = 45◦

d maximum pull of the slingshot at α = 30◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 370) to achieve the maximumheight?

a α = π rad

b α = 60◦

c α = 45◦

d α = 0.5π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 370) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +74/4/39+ y

Figure 366: Curve representing simple harmonic oscillations

Figure 367: Velocity-time graph

Figure 368: Car motion graph

y y

y +74/5/38+ y

Figure 369: Two pendulums, A and B, in the game �Cut the Rope�

Figure 370: Screenshot from the game �Angry Birds Star Wars�

y y

y +74/6/37+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

Question 3: a b c d

Question 4: a b c d

Question 5: a b c d

Question 6: a b c d

Question 7: a b c d

Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

Question 15: a b c d

Question 16: a b c d

Question 17: a b c d

Question 18: a b c d

Question 19: a b c d

Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +75/1/36+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 108 ms−1

b 299.792 458Mms−1

c 2.997 924 58× 109 m/s

d 299 792 458ms−1

Question 2 Average speed, savg, is de�ned as:

a total distance covered covered per unit time:

savg =total distance

∆t

b averege velocity of an object

savg = v̄

c average velocity per unit time

savg =∆vavg

∆t

d average displacement per unit time

savg =∆x

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a h(x)

b f(x)

c j(x)

d g(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 9

b 5

c√

5

d 3

Question 5 The unit of force, expressed in base

SI units is:

a 1 lb

b 1 gm s−2

c 1 kgm s−2

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs < ~fk

b ~fs > ~fkc ~fs = −~fkd ~fs = ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2 = 0

b K1 < K2

c K1 = K2

d K1 = −K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = ~F · ~db W = Fd · sinφc W = Fd

d W = mgh

y y

y +75/2/35+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = −100 J

b W = 100 J

c W = 100N

d W = 0 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the kinetic energy is equal to 0.

b the system is also called �conservative.�

c the sum of kinetic energy and potential energycannot change.

d the potential energy is constant.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle and is inthe direction of that force.

b the kinetic energy of the particle.

c the net force acting on the particle in the op-posite direction of that force.

d the sum of kinetic and potential energy.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈2m1

m2v1i.

b v2f ≈ 0.

c v2f ≈ v1i.d v2f ≈ −v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 1 rev.

b 60min.

c 2π radmin−1.

d 6.283 rad h−1.

Question 14 The �gure 371 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 1.5.

b 0.5.

c π2.

d 3π2.

Question 15 The speed of traveling wave v isequal to:

a 1T

b λT

c λf

d ωt

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

c longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d transversal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 372.Calculate road after 15 s.

a 600m

b 675m

c 225m

d 100m

Question 18 Figure 373 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 28m

b 45m

c 12m

d 34m

y y

y +75/3/34+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.9832

b 0.6667

c 0.7415

d 0.2667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

b v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

c v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

d v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 3.781m

b 8.100m

c 2.134m

d 1.552m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 374) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.603

b 2.75

c 11.658

d 0.364

Question 23 In the game �Angry Birds StarWars� (see Fig. 375) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 30◦

b maximum pull of the slingshot at α = 60◦

c half of the maximum pull of the slingshot atα = 45◦

d maximum pull of the slingshot at α = 45◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 375) to achieve the maximumheight?

a α = 45◦

b α = 60◦

c α = π rad

d α = 0.5π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 375) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +75/4/33+ y

Figure 371: Curve representing simple harmonic oscillations

Figure 372: Velocity-time graph

Figure 373: Car motion graph

y y

y +75/5/32+ y

Figure 374: Two pendulums, A and B, in the game �Cut the Rope�

Figure 375: Screenshot from the game �Angry Birds Star Wars�

y y

y +75/6/31+ y

Answers:

Name:

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Question 1: a b c d

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Question 11: a b c d

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Question 13: a b c d

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Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +76/1/30+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299 792 458ms−1

b 2.997 924 58× 108 ms−1

c 2.997 924 58× 109 m/s

d 299.792 458Mms−1

Question 2 Average speed, savg, is de�ned as:

a total distance covered covered per unit time:

savg =total distance

∆t

b average velocity per unit time

savg =∆vavg

∆t

c average displacement per unit time

savg =∆x

∆t

d averege velocity of an object

savg = v̄

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a j(x)

b h(x)

c f(x)

d g(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a√

5

b 3

c 9

d 5

Question 5 The unit of force, expressed in base

SI units is:

a 1 kgm s−2

b 1N

c 1 gm s−2

d 1 lb

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = −~fkb ~fs > ~fkc ~fs < ~fk

d ~fs = ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = −K2

b K1 = K2 = 0

c K1 < K2

d K1 = K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = ~F · ~db W = Fd

c W = Fd · sinφd W = mgh

y y

y +76/2/29+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100 J

b W = 100N

c W = 0 J

d W = −100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the kinetic energy is equal to 0.

b the potential energy is constant.

c the sum of kinetic energy and potential energycannot change.

d the system is also called �conservative.�

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle and is inthe direction of that force.

b the kinetic energy of the particle.

c the net force acting on the particle in the op-posite direction of that force.

d the sum of kinetic and potential energy.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ −v1i.

b v2f ≈2m1

m2v1i.

c v2f ≈ v1i.d v2f ≈ 0.

Question 13 What is the angular velocity ω ofa long clock hand?

a 60min.

b 2π radmin−1.

c 1 rev.

d 6.283 rad h−1.

Question 14 The �gure 376 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 0.5.

b π2.

c 1.5.

d 3π2.

Question 15 The speed of traveling wave v isequal to:

a ωt

b λT

c λf

d 1T

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

d transversal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 377.Calculate road after 15 s.

a 225m

b 600m

c 675m

d 100m

Question 18 Figure 378 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 45m

b 12m

c 28m

d 34m

y y

y +76/3/28+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.7415

b 0.2667

c 0.9832

d 0.6667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

b v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

c v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

d v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 8.100m

b 1.552m

c 3.781m

d 2.134m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 379) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.364

b 0.603

c 11.658

d 2.75

Question 23 In the game �Angry Birds StarWars� (see Fig. 380) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b maximum pull of the slingshot at α = 30◦

c maximum pull of the slingshot at α = 60◦

d half of the maximum pull of the slingshot atα = 45◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 380) to achieve the maximumheight?

a α = π rad

b α = 45◦

c α = 0.5π rad

d α = 60◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 380) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +76/4/27+ y

Figure 376: Curve representing simple harmonic oscillations

Figure 377: Velocity-time graph

Figure 378: Car motion graph

y y

y +76/5/26+ y

Figure 379: Two pendulums, A and B, in the game �Cut the Rope�

Figure 380: Screenshot from the game �Angry Birds Star Wars�

y y

y +76/6/25+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 7: a b c d

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Question 9: a b c d

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Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

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Question 16: a b c d

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Question 18: a b c d

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Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +77/1/24+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299.792 458Mms−1

b 299 792 458ms−1

c 2.997 924 58× 109 m/s

d 2.997 924 58× 108 ms−1

Question 2 Average speed, savg, is de�ned as:

a total distance covered covered per unit time:

savg =total distance

∆t

b average velocity per unit time

savg =∆vavg

∆t

c average displacement per unit time

savg =∆x

∆t

d averege velocity of an object

savg = v̄

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a f(x)

b j(x)

c h(x)

d g(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 3

b√

5

c 5

d 9

Question 5 The unit of force, expressed in base

SI units is:

a 1N

b 1 gm s−2

c 1 lb

d 1 kgm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = −~fkb ~fs = ~fkc ~fs > ~fk

d ~fs < ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2

b K1 = −K2

c K1 < K2

d K1 = K2 = 0

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd · sinφb W = mgh

c W = Fd

d W = ~F · ~d

y y

y +77/2/23+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100N

b W = 0 J

c W = −100 J

d W = 100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the kinetic energy is equal to 0.

b the potential energy is constant.

c the system is also called �conservative.�

d the sum of kinetic energy and potential energycannot change.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle in the op-posite direction of that force.

b the kinetic energy of the particle.

c the sum of kinetic and potential energy.

d the net force acting on the particle and is inthe direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈2m1

m2v1i.

b v2f ≈ 0.

c v2f ≈ −v1i.d v2f ≈ v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 2π radmin−1.

b 1 rev.

c 60min.

d 6.283 rad h−1.

Question 14 The �gure 381 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 3π2.

b 0.5.

c 1.5.

d π2.

Question 15 The speed of traveling wave v isequal to:

a 1T

b ωt

c λT

d λf

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough solids, liquids, or gases.

b longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

d transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 382.Calculate road after 15 s.

a 600m

b 675m

c 100m

d 225m

Question 18 Figure 383 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 28m

b 12m

c 45m

d 34m

y y

y +77/3/22+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.9832

b 0.2667

c 0.7415

d 0.6667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

d v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 1.552m

b 2.134m

c 3.781m

d 8.100m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 384) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 2.75

b 11.658

c 0.603

d 0.364

Question 23 In the game �Angry Birds StarWars� (see Fig. 385) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b half of the maximum pull of the slingshot atα = 45◦

c maximum pull of the slingshot at α = 60◦

d maximum pull of the slingshot at α = 30◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 385) to achieve the maximumheight?

a α = 45◦

b α = 60◦

c α = π rad

d α = 0.5π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 385) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +77/4/21+ y

Figure 381: Curve representing simple harmonic oscillations

Figure 382: Velocity-time graph

Figure 383: Car motion graph

y y

y +77/5/20+ y

Figure 384: Two pendulums, A and B, in the game �Cut the Rope�

Figure 385: Screenshot from the game �Angry Birds Star Wars�

y y

y +77/6/19+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

Question 3: a b c d

Question 4: a b c d

Question 5: a b c d

Question 6: a b c d

Question 7: a b c d

Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

Question 15: a b c d

Question 16: a b c d

Question 17: a b c d

Question 18: a b c d

Question 19: a b c d

Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +78/1/18+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299.792 458Mms−1

b 2.997 924 58× 108 ms−1

c 299 792 458ms−1

d 2.997 924 58× 109 m/s

Question 2 Average speed, savg, is de�ned as:

a average velocity per unit time

savg =∆vavg

∆t

b total distance covered covered per unit time:

savg =total distance

∆t

c averege velocity of an object

savg = v̄

d average displacement per unit time

savg =∆x

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a f(x)

b g(x)

c h(x)

d j(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a√

5

b 5

c 3

d 9

Question 5 The unit of force, expressed in base

SI units is:

a 1 lb

b 1 kgm s−2

c 1 gm s−2

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs < ~fk

b ~fs > ~fkc ~fs = ~fk

d ~fs = −~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = −K2

b K1 < K2

c K1 = K2 = 0

d K1 = K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = mgh

b W = Fd

c W = ~F · ~dd W = Fd · sinφ

y y

y +78/2/17+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = −100 J

b W = 0 J

c W = 100N

d W = 100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the system is also called �conservative.�

b the potential energy is constant.

c the sum of kinetic energy and potential energycannot change.

d the kinetic energy is equal to 0.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the kinetic energy of the particle.

b the net force acting on the particle and is inthe direction of that force.

c the sum of kinetic and potential energy.

d the net force acting on the particle in the op-posite direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈2m1

m2v1i.

b v2f ≈ −v1i.c v2f ≈ v1i.d v2f ≈ 0.

Question 13 What is the angular velocity ω ofa long clock hand?

a 1 rev.

b 2π radmin−1.

c 6.283 rad h−1.

d 60min.

Question 14 The �gure 386 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 0.5.

b 1.5.

c π2.

d 3π2.

Question 15 The speed of traveling wave v isequal to:

a 1T

b λT

c λf

d ωt

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b transversal mechanical waves that can travelthrough solids, liquids, or gases.

c longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

d longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 387.Calculate road after 15 s.

a 225m

b 600m

c 100m

d 675m

Question 18 Figure 388 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 45m

b 34m

c 28m

d 12m

y y

y +78/3/16+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.7415

b 0.2667

c 0.9832

d 0.6667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

b v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

c v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

d v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 2.134m

b 3.781m

c 1.552m

d 8.100m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 389) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.364

b 11.658

c 0.603

d 2.75

Question 23 In the game �Angry Birds StarWars� (see Fig. 390) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 30◦

b half of the maximum pull of the slingshot atα = 45◦

c maximum pull of the slingshot at α = 45◦

d maximum pull of the slingshot at α = 60◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 390) to achieve the maximumheight?

a α = 0.5π rad

b α = π rad

c α = 45◦

d α = 60◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 390) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +78/4/15+ y

Figure 386: Curve representing simple harmonic oscillations

Figure 387: Velocity-time graph

Figure 388: Car motion graph

y y

y +78/5/14+ y

Figure 389: Two pendulums, A and B, in the game �Cut the Rope�

Figure 390: Screenshot from the game �Angry Birds Star Wars�

y y

y +78/6/13+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

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Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +79/1/12+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 108 ms−1

b 2.997 924 58× 109 m/s

c 299 792 458ms−1

d 299.792 458Mms−1

Question 2 Average speed, savg, is de�ned as:

a average displacement per unit time

savg =∆x

∆t

b averege velocity of an object

savg = v̄

c total distance covered covered per unit time:

savg =total distance

∆t

d average velocity per unit time

savg =∆vavg

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a f(x)

b h(x)

c j(x)

d g(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a√

5

b 3

c 5

d 9

Question 5 The unit of force, expressed in base

SI units is:

a 1 lb

b 1 gm s−2

c 1 kgm s−2

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = ~fk

b ~fs = −~fkc ~fs < ~fk

d ~fs > ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2 = 0

b K1 = K2

c K1 = −K2

d K1 < K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd

b W = mgh

c W = ~F · ~dd W = Fd · sinφ

y y

y +79/2/11+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = −100 J

b W = 0 J

c W = 100 J

d W = 100N

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the system is also called �conservative.�

b the kinetic energy is equal to 0.

c the potential energy is constant.

d the sum of kinetic energy and potential energycannot change.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the kinetic energy of the particle.

b the net force acting on the particle and is inthe direction of that force.

c the sum of kinetic and potential energy.

d the net force acting on the particle in the op-posite direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ 0.

b v2f ≈ v1i.c v2f ≈

2m1

m2v1i.

d v2f ≈ −v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 2π radmin−1.

b 1 rev.

c 60min.

d 6.283 rad h−1.

Question 14 The �gure 391 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 1.5.

b 0.5.

c 3π2.

d π2.

Question 15 The speed of traveling wave v isequal to:

a λT

b λf

c ωt

d 1T

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

c transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d transversal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 392.Calculate road after 15 s.

a 600m

b 225m

c 675m

d 100m

Question 18 Figure 393 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 45m

b 34m

c 12m

d 28m

y y

y +79/3/10+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.9832

b 0.6667

c 0.7415

d 0.2667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

d v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 1.552m

b 2.134m

c 8.100m

d 3.781m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 394) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 11.658

b 2.75

c 0.364

d 0.603

Question 23 In the game �Angry Birds StarWars� (see Fig. 395) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b maximum pull of the slingshot at α = 30◦

c maximum pull of the slingshot at α = 60◦

d half of the maximum pull of the slingshot atα = 45◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 395) to achieve the maximumheight?

a α = 60◦

b α = π rad

c α = 0.5π rad

d α = 45◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 395) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +79/4/9+ y

Figure 391: Curve representing simple harmonic oscillations

Figure 392: Velocity-time graph

Figure 393: Car motion graph

y y

y +79/5/8+ y

Figure 394: Two pendulums, A and B, in the game �Cut the Rope�

Figure 395: Screenshot from the game �Angry Birds Star Wars�

y y

y +79/6/7+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 4: a b c d

Question 5: a b c d

Question 6: a b c d

Question 7: a b c d

Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

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Question 16: a b c d

Question 17: a b c d

Question 18: a b c d

Question 19: a b c d

Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +80/1/6+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 108 ms−1

b 299.792 458Mms−1

c 299 792 458ms−1

d 2.997 924 58× 109 m/s

Question 2 Average speed, savg, is de�ned as:

a averege velocity of an object

savg = v̄

b average velocity per unit time

savg =∆vavg

∆t

c total distance covered covered per unit time:

savg =total distance

∆t

d average displacement per unit time

savg =∆x

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a j(x)

b g(x)

c f(x)

d h(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 3

b 9

c 5

d√

5

Question 5 The unit of force, expressed in base

SI units is:

a 1 gm s−2

b 1 kgm s−2

c 1N

d 1 lb

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = −~fkb ~fs > ~fkc ~fs < ~fk

d ~fs = ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2 = 0

b K1 = −K2

c K1 < K2

d K1 = K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd

b W = mgh

c W = Fd · sinφd W = ~F · ~d

y y

y +80/2/5+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = −100 J

b W = 100N

c W = 0 J

d W = 100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the potential energy is constant.

b the kinetic energy is equal to 0.

c the sum of kinetic energy and potential energycannot change.

d the system is also called �conservative.�

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the sum of kinetic and potential energy.

b the kinetic energy of the particle.

c the net force acting on the particle in the op-posite direction of that force.

d the net force acting on the particle and is inthe direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ v1i.b v2f ≈ 0.

c v2f ≈ −v1i.

d v2f ≈2m1

m2v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 6.283 rad h−1.

b 2π radmin−1.

c 1 rev.

d 60min.

Question 14 The �gure 396 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 3π2.

b 0.5.

c π2.

d 1.5.

Question 15 The speed of traveling wave v isequal to:

a λf

b ωt

c 1T

d λT

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

c transversal mechanical waves that can travelthrough solids, liquids, or gases.

d longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 397.Calculate road after 15 s.

a 100m

b 225m

c 675m

d 600m

Question 18 Figure 398 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 34m

b 12m

c 28m

d 45m

y y

y +80/3/4+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.7415

b 0.9832

c 0.2667

d 0.6667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

d v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 8.100m

b 1.552m

c 2.134m

d 3.781m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 399) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.603

b 0.364

c 11.658

d 2.75

Question 23 In the game �Angry Birds StarWars� (see Fig. 400) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b half of the maximum pull of the slingshot atα = 45◦

c maximum pull of the slingshot at α = 30◦

d maximum pull of the slingshot at α = 60◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 400) to achieve the maximumheight?

a α = 0.5π rad

b α = π rad

c α = 60◦

d α = 45◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 400) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +80/4/3+ y

Figure 396: Curve representing simple harmonic oscillations

Figure 397: Velocity-time graph

Figure 398: Car motion graph

y y

y +80/5/2+ y

Figure 399: Two pendulums, A and B, in the game �Cut the Rope�

Figure 400: Screenshot from the game �Angry Birds Star Wars�

y y

y +80/6/1+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

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Question 18: a b c d

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Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +81/1/60+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299.792 458Mms−1

b 2.997 924 58× 109 m/s

c 2.997 924 58× 108 ms−1

d 299 792 458ms−1

Question 2 Average speed, savg, is de�ned as:

a average velocity per unit time

savg =∆vavg

∆t

b average displacement per unit time

savg =∆x

∆t

c total distance covered covered per unit time:

savg =total distance

∆t

d averege velocity of an object

savg = v̄

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a g(x)

b j(x)

c h(x)

d f(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 5

b 9

c 3

d√

5

Question 5 The unit of force, expressed in base

SI units is:

a 1 gm s−2

b 1 kgm s−2

c 1 lb

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = −~fkb ~fs = ~fkc ~fs > ~fk

d ~fs < ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2

b K1 = −K2

c K1 = K2 = 0

d K1 < K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd · sinφb W = mgh

c W = ~F · ~dd W = Fd

y y

y +81/2/59+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = −100 J

b W = 100N

c W = 100 J

d W = 0 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the sum of kinetic energy and potential energycannot change.

b the kinetic energy is equal to 0.

c the potential energy is constant.

d the system is also called �conservative.�

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the sum of kinetic and potential energy.

b the kinetic energy of the particle.

c the net force acting on the particle in the op-posite direction of that force.

d the net force acting on the particle and is inthe direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ 0.

b v2f ≈ v1i.c v2f ≈

2m1

m2v1i.

d v2f ≈ −v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 1 rev.

b 6.283 rad h−1.

c 60min.

d 2π radmin−1.

Question 14 The �gure 401 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a π2.

b 1.5.

c 3π2.

d 0.5.

Question 15 The speed of traveling wave v isequal to:

a ωt

b 1T

c λT

d λf

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

b longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c transversal mechanical waves that can travelthrough solids, liquids, or gases.

d transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 402.Calculate road after 15 s.

a 600m

b 100m

c 675m

d 225m

Question 18 Figure 403 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 34m

b 45m

c 28m

d 12m

y y

y +81/3/58+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.2667

b 0.7415

c 0.9832

d 0.6667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

b v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

c v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

d v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 8.100m

b 2.134m

c 1.552m

d 3.781m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 404) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 2.75

b 0.603

c 11.658

d 0.364

Question 23 In the game �Angry Birds StarWars� (see Fig. 405) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b maximum pull of the slingshot at α = 30◦

c half of the maximum pull of the slingshot atα = 45◦

d maximum pull of the slingshot at α = 60◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 405) to achieve the maximumheight?

a α = 0.5π rad

b α = π rad

c α = 45◦

d α = 60◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 405) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +81/4/57+ y

Figure 401: Curve representing simple harmonic oscillations

Figure 402: Velocity-time graph

Figure 403: Car motion graph

y y

y +81/5/56+ y

Figure 404: Two pendulums, A and B, in the game �Cut the Rope�

Figure 405: Screenshot from the game �Angry Birds Star Wars�

y y

y +81/6/55+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

Question 15: a b c d

Question 16: a b c d

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Question 18: a b c d

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Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +82/1/54+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 108 ms−1

b 299.792 458Mms−1

c 2.997 924 58× 109 m/s

d 299 792 458ms−1

Question 2 Average speed, savg, is de�ned as:

a averege velocity of an object

savg = v̄

b average velocity per unit time

savg =∆vavg

∆t

c total distance covered covered per unit time:

savg =total distance

∆t

d average displacement per unit time

savg =∆x

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a f(x)

b j(x)

c h(x)

d g(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 9

b√

5

c 5

d 3

Question 5 The unit of force, expressed in base

SI units is:

a 1 lb

b 1 kgm s−2

c 1 gm s−2

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = ~fk

b ~fs < ~fkc ~fs > ~fk

d ~fs = −~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2

b K1 < K2

c K1 = −K2

d K1 = K2 = 0

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd · sinφb W = Fd

c W = ~F · ~dd W = mgh

y y

y +82/2/53+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = −100 J

b W = 100N

c W = 0 J

d W = 100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the kinetic energy is equal to 0.

b the potential energy is constant.

c the sum of kinetic energy and potential energycannot change.

d the system is also called �conservative.�

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle in the op-posite direction of that force.

b the kinetic energy of the particle.

c the sum of kinetic and potential energy.

d the net force acting on the particle and is inthe direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈2m1

m2v1i.

b v2f ≈ 0.

c v2f ≈ −v1i.d v2f ≈ v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 2π radmin−1.

b 60min.

c 6.283 rad h−1.

d 1 rev.

Question 14 The �gure 406 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a π2.

b 0.5.

c 1.5.

d 3π2.

Question 15 The speed of traveling wave v isequal to:

a ωt

b 1T

c λf

d λT

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough solids, liquids, or gases.

b longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 407.Calculate road after 15 s.

a 600m

b 225m

c 675m

d 100m

Question 18 Figure 408 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 28m

b 45m

c 34m

d 12m

y y

y +82/3/52+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.9832

b 0.7415

c 0.6667

d 0.2667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

d v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 3.781m

b 1.552m

c 8.100m

d 2.134m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 409) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.603

b 11.658

c 0.364

d 2.75

Question 23 In the game �Angry Birds StarWars� (see Fig. 410) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b maximum pull of the slingshot at α = 30◦

c half of the maximum pull of the slingshot atα = 45◦

d maximum pull of the slingshot at α = 60◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 410) to achieve the maximumheight?

a α = π rad

b α = 0.5π rad

c α = 45◦

d α = 60◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 410) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +82/4/51+ y

Figure 406: Curve representing simple harmonic oscillations

Figure 407: Velocity-time graph

Figure 408: Car motion graph

y y

y +82/5/50+ y

Figure 409: Two pendulums, A and B, in the game �Cut the Rope�

Figure 410: Screenshot from the game �Angry Birds Star Wars�

y y

y +82/6/49+ y

Answers:

Name:

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Question 1: a b c d

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Question 25: a b

y y

y +83/1/48+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299.792 458Mms−1

b 2.997 924 58× 108 ms−1

c 2.997 924 58× 109 m/s

d 299 792 458ms−1

Question 2 Average speed, savg, is de�ned as:

a average displacement per unit time

savg =∆x

∆t

b averege velocity of an object

savg = v̄

c total distance covered covered per unit time:

savg =total distance

∆t

d average velocity per unit time

savg =∆vavg

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a j(x)

b f(x)

c h(x)

d g(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 3

b 5

c 9

d√

5

Question 5 The unit of force, expressed in base

SI units is:

a 1 lb

b 1 kgm s−2

c 1 gm s−2

d 1N

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = ~fk

b ~fs = −~fkc ~fs > ~fk

d ~fs < ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2 = 0

b K1 = K2

c K1 < K2

d K1 = −K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd

b W = mgh

c W = Fd · sinφd W = ~F · ~d

y y

y +83/2/47+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 0 J

b W = −100 J

c W = 100 J

d W = 100N

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the system is also called �conservative.�

b the potential energy is constant.

c the sum of kinetic energy and potential energycannot change.

d the kinetic energy is equal to 0.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the kinetic energy of the particle.

b the net force acting on the particle in the op-posite direction of that force.

c the sum of kinetic and potential energy.

d the net force acting on the particle and is inthe direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ v1i.b v2f ≈ 0.

c v2f ≈ −v1i.

d v2f ≈2m1

m2v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 2π radmin−1.

b 6.283 rad h−1.

c 1 rev.

d 60min.

Question 14 The �gure 411 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 1.5.

b 3π2.

c π2.

d 0.5.

Question 15 The speed of traveling wave v isequal to:

a λf

b 1T

c ωt

d λT

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

b longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d transversal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 412.Calculate road after 15 s.

a 600m

b 225m

c 100m

d 675m

Question 18 Figure 413 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 45m

b 34m

c 12m

d 28m

y y

y +83/3/46+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.6667

b 0.9832

c 0.2667

d 0.7415

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

d v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 1.552m

b 8.100m

c 3.781m

d 2.134m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 414) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 2.75

b 11.658

c 0.603

d 0.364

Question 23 In the game �Angry Birds StarWars� (see Fig. 415) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 30◦

b maximum pull of the slingshot at α = 60◦

c half of the maximum pull of the slingshot atα = 45◦

d maximum pull of the slingshot at α = 45◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 415) to achieve the maximumheight?

a α = 60◦

b α = 0.5π rad

c α = 45◦

d α = π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 415) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +83/4/45+ y

Figure 411: Curve representing simple harmonic oscillations

Figure 412: Velocity-time graph

Figure 413: Car motion graph

y y

y +83/5/44+ y

Figure 414: Two pendulums, A and B, in the game �Cut the Rope�

Figure 415: Screenshot from the game �Angry Birds Star Wars�

y y

y +83/6/43+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 7: a b c d

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Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

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Question 16: a b c d

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Question 18: a b c d

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Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +84/1/42+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 109 m/s

b 299 792 458ms−1

c 2.997 924 58× 108 ms−1

d 299.792 458Mms−1

Question 2 Average speed, savg, is de�ned as:

a average velocity per unit time

savg =∆vavg

∆t

b averege velocity of an object

savg = v̄

c total distance covered covered per unit time:

savg =total distance

∆t

d average displacement per unit time

savg =∆x

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a g(x)

b j(x)

c f(x)

d h(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a√

5

b 9

c 3

d 5

Question 5 The unit of force, expressed in base

SI units is:

a 1N

b 1 kgm s−2

c 1 gm s−2

d 1 lb

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = −~fkb ~fs > ~fkc ~fs = ~fk

d ~fs < ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = −K2

b K1 = K2 = 0

c K1 = K2

d K1 < K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = mgh

b W = ~F · ~dc W = Fd

d W = Fd · sinφ

y y

y +84/2/41+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100 J

b W = 100N

c W = −100 J

d W = 0 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the kinetic energy is equal to 0.

b the potential energy is constant.

c the sum of kinetic energy and potential energycannot change.

d the system is also called �conservative.�

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle in the op-posite direction of that force.

b the sum of kinetic and potential energy.

c the net force acting on the particle and is inthe direction of that force.

d the kinetic energy of the particle.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈2m1

m2v1i.

b v2f ≈ v1i.c v2f ≈ −v1i.d v2f ≈ 0.

Question 13 What is the angular velocity ω ofa long clock hand?

a 1 rev.

b 6.283 rad h−1.

c 60min.

d 2π radmin−1.

Question 14 The �gure 416 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 0.5.

b 3π2.

c 1.5.

d π2.

Question 15 The speed of traveling wave v isequal to:

a λT

b λf

c 1T

d ωt

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough solids, liquids, or gases.

b transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 417.Calculate road after 15 s.

a 100m

b 225m

c 600m

d 675m

Question 18 Figure 418 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 45m

b 28m

c 34m

d 12m

y y

y +84/3/40+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.9832

b 0.7415

c 0.2667

d 0.6667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

b v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

c v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

d v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 3.781m

b 8.100m

c 2.134m

d 1.552m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 419) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.364

b 2.75

c 0.603

d 11.658

Question 23 In the game �Angry Birds StarWars� (see Fig. 420) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 30◦

b half of the maximum pull of the slingshot atα = 45◦

c maximum pull of the slingshot at α = 60◦

d maximum pull of the slingshot at α = 45◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 420) to achieve the maximumheight?

a α = 60◦

b α = π rad

c α = 45◦

d α = 0.5π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 420) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +84/4/39+ y

Figure 416: Curve representing simple harmonic oscillations

Figure 417: Velocity-time graph

Figure 418: Car motion graph

y y

y +84/5/38+ y

Figure 419: Two pendulums, A and B, in the game �Cut the Rope�

Figure 420: Screenshot from the game �Angry Birds Star Wars�

y y

y +84/6/37+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

Question 3: a b c d

Question 4: a b c d

Question 5: a b c d

Question 6: a b c d

Question 7: a b c d

Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

Question 15: a b c d

Question 16: a b c d

Question 17: a b c d

Question 18: a b c d

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Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +85/1/36+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299 792 458ms−1

b 299.792 458Mms−1

c 2.997 924 58× 108 ms−1

d 2.997 924 58× 109 m/s

Question 2 Average speed, savg, is de�ned as:

a average displacement per unit time

savg =∆x

∆t

b average velocity per unit time

savg =∆vavg

∆t

c total distance covered covered per unit time:

savg =total distance

∆t

d averege velocity of an object

savg = v̄

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a h(x)

b f(x)

c g(x)

d j(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a√

5

b 3

c 5

d 9

Question 5 The unit of force, expressed in base

SI units is:

a 1 gm s−2

b 1N

c 1 kgm s−2

d 1 lb

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs > ~fk

b ~fs = ~fkc ~fs = −~fkd ~fs < ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 < K2

b K1 = K2

c K1 = K2 = 0

d K1 = −K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = mgh

b W = Fd · sinφc W = Fd

d W = ~F · ~d

y y

y +85/2/35+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 0 J

b W = 100 J

c W = −100 J

d W = 100N

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the kinetic energy is equal to 0.

b the potential energy is constant.

c the system is also called �conservative.�

d the sum of kinetic energy and potential energycannot change.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the kinetic energy of the particle.

b the net force acting on the particle in the op-posite direction of that force.

c the sum of kinetic and potential energy.

d the net force acting on the particle and is inthe direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ 0.

b v2f ≈ v1i.c v2f ≈

2m1

m2v1i.

d v2f ≈ −v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 6.283 rad h−1.

b 60min.

c 1 rev.

d 2π radmin−1.

Question 14 The �gure 421 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 1.5.

b 3π2.

c π2.

d 0.5.

Question 15 The speed of traveling wave v isequal to:

a ωt

b λT

c λf

d 1T

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

d transversal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 422.Calculate road after 15 s.

a 675m

b 100m

c 225m

d 600m

Question 18 Figure 423 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 34m

b 28m

c 12m

d 45m

y y

y +85/3/34+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.7415

b 0.6667

c 0.9832

d 0.2667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

b v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

c v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

d v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 2.134m

b 3.781m

c 1.552m

d 8.100m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 424) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.364

b 2.75

c 11.658

d 0.603

Question 23 In the game �Angry Birds StarWars� (see Fig. 425) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 30◦

b maximum pull of the slingshot at α = 45◦

c maximum pull of the slingshot at α = 60◦

d half of the maximum pull of the slingshot atα = 45◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 425) to achieve the maximumheight?

a α = 60◦

b α = 0.5π rad

c α = 45◦

d α = π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 425) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +85/4/33+ y

Figure 421: Curve representing simple harmonic oscillations

Figure 422: Velocity-time graph

Figure 423: Car motion graph

y y

y +85/5/32+ y

Figure 424: Two pendulums, A and B, in the game �Cut the Rope�

Figure 425: Screenshot from the game �Angry Birds Star Wars�

y y

y +85/6/31+ y

Answers:

Name:

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Question 1: a b c d

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Question 12: a b c d

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Question 23: a b c d

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Question 25: a b

y y

y +86/1/30+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 108 ms−1

b 299 792 458ms−1

c 299.792 458Mms−1

d 2.997 924 58× 109 m/s

Question 2 Average speed, savg, is de�ned as:

a averege velocity of an object

savg = v̄

b average velocity per unit time

savg =∆vavg

∆t

c average displacement per unit time

savg =∆x

∆t

d total distance covered covered per unit time:

savg =total distance

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a g(x)

b f(x)

c h(x)

d j(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 9

b 3

c√

5

d 5

Question 5 The unit of force, expressed in base

SI units is:

a 1 gm s−2

b 1N

c 1 lb

d 1 kgm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = ~fk

b ~fs < ~fkc ~fs = −~fkd ~fs > ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = −K2

b K1 = K2

c K1 = K2 = 0

d K1 < K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = ~F · ~db W = mgh

c W = Fd

d W = Fd · sinφ

y y

y +86/2/29+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 0 J

b W = 100 J

c W = −100 J

d W = 100N

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the sum of kinetic energy and potential energycannot change.

b the kinetic energy is equal to 0.

c the potential energy is constant.

d the system is also called �conservative.�

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle in the op-posite direction of that force.

b the kinetic energy of the particle.

c the sum of kinetic and potential energy.

d the net force acting on the particle and is inthe direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ −v1i.

b v2f ≈2m1

m2v1i.

c v2f ≈ v1i.d v2f ≈ 0.

Question 13 What is the angular velocity ω ofa long clock hand?

a 1 rev.

b 60min.

c 2π radmin−1.

d 6.283 rad h−1.

Question 14 The �gure 426 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a π2.

b 0.5.

c 3π2.

d 1.5.

Question 15 The speed of traveling wave v isequal to:

a λT

b λf

c 1T

d ωt

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

b transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c transversal mechanical waves that can travelthrough solids, liquids, or gases.

d longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 427.Calculate road after 15 s.

a 225m

b 600m

c 675m

d 100m

Question 18 Figure 428 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 12m

b 28m

c 34m

d 45m

y y

y +86/3/28+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.9832

b 0.2667

c 0.7415

d 0.6667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

b v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

c v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

d v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 2.134m

b 3.781m

c 1.552m

d 8.100m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 429) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.364

b 11.658

c 0.603

d 2.75

Question 23 In the game �Angry Birds StarWars� (see Fig. 430) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a half of the maximum pull of the slingshot atα = 45◦

b maximum pull of the slingshot at α = 60◦

c maximum pull of the slingshot at α = 30◦

d maximum pull of the slingshot at α = 45◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 430) to achieve the maximumheight?

a α = 45◦

b α = 60◦

c α = π rad

d α = 0.5π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 430) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +86/4/27+ y

Figure 426: Curve representing simple harmonic oscillations

Figure 427: Velocity-time graph

Figure 428: Car motion graph

y y

y +86/5/26+ y

Figure 429: Two pendulums, A and B, in the game �Cut the Rope�

Figure 430: Screenshot from the game �Angry Birds Star Wars�

y y

y +86/6/25+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 7: a b c d

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Question 9: a b c d

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Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

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Question 16: a b c d

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Question 18: a b c d

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Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +87/1/24+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299.792 458Mms−1

b 299 792 458ms−1

c 2.997 924 58× 109 m/s

d 2.997 924 58× 108 ms−1

Question 2 Average speed, savg, is de�ned as:

a total distance covered covered per unit time:

savg =total distance

∆t

b averege velocity of an object

savg = v̄

c average velocity per unit time

savg =∆vavg

∆t

d average displacement per unit time

savg =∆x

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a h(x)

b j(x)

c g(x)

d f(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a√

5

b 9

c 5

d 3

Question 5 The unit of force, expressed in base

SI units is:

a 1N

b 1 gm s−2

c 1 lb

d 1 kgm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs > ~fk

b ~fs < ~fkc ~fs = ~fk

d ~fs = −~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2 = 0

b K1 < K2

c K1 = −K2

d K1 = K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = mgh

b W = Fd

c W = ~F · ~dd W = Fd · sinφ

y y

y +87/2/23+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 0 J

b W = 100N

c W = −100 J

d W = 100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the kinetic energy is equal to 0.

b the system is also called �conservative.�

c the potential energy is constant.

d the sum of kinetic energy and potential energycannot change.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle and is inthe direction of that force.

b the kinetic energy of the particle.

c the sum of kinetic and potential energy.

d the net force acting on the particle in the op-posite direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ v1i.b v2f ≈ 0.

c v2f ≈2m1

m2v1i.

d v2f ≈ −v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 2π radmin−1.

b 1 rev.

c 60min.

d 6.283 rad h−1.

Question 14 The �gure 431 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 3π2.

b π2.

c 0.5.

d 1.5.

Question 15 The speed of traveling wave v isequal to:

a λf

b λT

c ωt

d 1T

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

c transversal mechanical waves that can travelthrough solids, liquids, or gases.

d longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 432.Calculate road after 15 s.

a 100m

b 600m

c 225m

d 675m

Question 18 Figure 433 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 28m

b 12m

c 45m

d 34m

y y

y +87/3/22+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.9832

b 0.6667

c 0.2667

d 0.7415

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

d v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 8.100m

b 1.552m

c 2.134m

d 3.781m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 434) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 2.75

b 0.364

c 11.658

d 0.603

Question 23 In the game �Angry Birds StarWars� (see Fig. 435) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a half of the maximum pull of the slingshot atα = 45◦

b maximum pull of the slingshot at α = 45◦

c maximum pull of the slingshot at α = 30◦

d maximum pull of the slingshot at α = 60◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 435) to achieve the maximumheight?

a α = 45◦

b α = 60◦

c α = 0.5π rad

d α = π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 435) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +87/4/21+ y

Figure 431: Curve representing simple harmonic oscillations

Figure 432: Velocity-time graph

Figure 433: Car motion graph

y y

y +87/5/20+ y

Figure 434: Two pendulums, A and B, in the game �Cut the Rope�

Figure 435: Screenshot from the game �Angry Birds Star Wars�

y y

y +87/6/19+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

Question 3: a b c d

Question 4: a b c d

Question 5: a b c d

Question 6: a b c d

Question 7: a b c d

Question 8: a b c d

Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

Question 15: a b c d

Question 16: a b c d

Question 17: a b c d

Question 18: a b c d

Question 19: a b c d

Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +88/1/18+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 299.792 458Mms−1

b 299 792 458ms−1

c 2.997 924 58× 109 m/s

d 2.997 924 58× 108 ms−1

Question 2 Average speed, savg, is de�ned as:

a average displacement per unit time

savg =∆x

∆t

b total distance covered covered per unit time:

savg =total distance

∆t

c averege velocity of an object

savg = v̄

d average velocity per unit time

savg =∆vavg

∆t

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a g(x)

b f(x)

c h(x)

d j(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 3

b 5

c 9

d√

5

Question 5 The unit of force, expressed in base

SI units is:

a 1 gm s−2

b 1N

c 1 kgm s−2

d 1 lb

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = −~fkb ~fs < ~fkc ~fs = ~fk

d ~fs > ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 < K2

b K1 = K2

c K1 = −K2

d K1 = K2 = 0

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd · sinφb W = Fd

c W = ~F · ~dd W = mgh

y y

y +88/2/17+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 0 J

b W = 100 J

c W = 100N

d W = −100 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the sum of kinetic energy and potential energycannot change.

b the potential energy is constant.

c the system is also called �conservative.�

d the kinetic energy is equal to 0.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the kinetic energy of the particle.

b the net force acting on the particle in the op-posite direction of that force.

c the net force acting on the particle and is inthe direction of that force.

d the sum of kinetic and potential energy.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ 0.

b v2f ≈ v1i.c v2f ≈

2m1

m2v1i.

d v2f ≈ −v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 6.283 rad h−1.

b 2π radmin−1.

c 60min.

d 1 rev.

Question 14 The �gure 436 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 0.5.

b 1.5.

c 3π2.

d π2.

Question 15 The speed of traveling wave v isequal to:

a 1T

b λT

c ωt

d λf

Question 16 Sound waves are:

a transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

c transversal mechanical waves that can travelthrough solids, liquids, or gases.

d longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 437.Calculate road after 15 s.

a 225m

b 600m

c 675m

d 100m

Question 18 Figure 438 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 12m

b 34m

c 28m

d 45m

y y

y +88/3/16+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.2667

b 0.6667

c 0.9832

d 0.7415

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

b v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

c v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

d v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 3.781m

b 1.552m

c 8.100m

d 2.134m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 439) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.603

b 11.658

c 2.75

d 0.364

Question 23 In the game �Angry Birds StarWars� (see Fig. 440) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 30◦

b half of the maximum pull of the slingshot atα = 45◦

c maximum pull of the slingshot at α = 45◦

d maximum pull of the slingshot at α = 60◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 440) to achieve the maximumheight?

a α = 45◦

b α = π rad

c α = 0.5π rad

d α = 60◦

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 440) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +88/4/15+ y

Figure 436: Curve representing simple harmonic oscillations

Figure 437: Velocity-time graph

Figure 438: Car motion graph

y y

y +88/5/14+ y

Figure 439: Two pendulums, A and B, in the game �Cut the Rope�

Figure 440: Screenshot from the game �Angry Birds Star Wars�

y y

y +88/6/13+ y

Answers:

Name:

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Question 1: a b c d

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y y

y +89/1/12+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 108 ms−1

b 2.997 924 58× 109 m/s

c 299.792 458Mms−1

d 299 792 458ms−1

Question 2 Average speed, savg, is de�ned as:

a average velocity per unit time

savg =∆vavg

∆t

b average displacement per unit time

savg =∆x

∆t

c total distance covered covered per unit time:

savg =total distance

∆t

d averege velocity of an object

savg = v̄

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a h(x)

b f(x)

c g(x)

d j(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a√

5

b 5

c 9

d 3

Question 5 The unit of force, expressed in base

SI units is:

a 1 lb

b 1N

c 1 gm s−2

d 1 kgm s−2

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs = −~fkb ~fs < ~fkc ~fs > ~fk

d ~fs = ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 = K2

b K1 = −K2

c K1 = K2 = 0

d K1 < K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = Fd

b W = Fd · sinφc W = ~F · ~dd W = mgh

y y

y +89/2/11+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 0 J

b W = 100 J

c W = −100 J

d W = 100N

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the potential energy is constant.

b the system is also called �conservative.�

c the kinetic energy is equal to 0.

d the sum of kinetic energy and potential energycannot change.

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the net force acting on the particle and is inthe direction of that force.

b the sum of kinetic and potential energy.

c the kinetic energy of the particle.

d the net force acting on the particle in the op-posite direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ v1i.b v2f ≈ −v1i.c v2f ≈ 0.

d v2f ≈2m1

m2v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 2π radmin−1.

b 6.283 rad h−1.

c 1 rev.

d 60min.

Question 14 The �gure 441 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a π2.

b 1.5.

c 3π2.

d 0.5.

Question 15 The speed of traveling wave v isequal to:

a 1T

b λf

c λT

d ωt

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

b longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

c transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d transversal mechanical waves that can travelthrough solids, liquids, or gases.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 442.Calculate road after 15 s.

a 600m

b 225m

c 100m

d 675m

Question 18 Figure 443 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 34m

b 45m

c 12m

d 28m

y y

y +89/3/10+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.2667

b 0.7415

c 0.9832

d 0.6667

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

b v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

c v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

d v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 8.100m

b 1.552m

c 2.134m

d 3.781m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 444) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 11.658

b 0.603

c 0.364

d 2.75

Question 23 In the game �Angry Birds StarWars� (see Fig. 445) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 45◦

b half of the maximum pull of the slingshot atα = 45◦

c maximum pull of the slingshot at α = 60◦

d maximum pull of the slingshot at α = 30◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 445) to achieve the maximumheight?

a α = 45◦

b α = 60◦

c α = 0.5π rad

d α = π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 445) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a No

b Yes

y y

y +89/4/9+ y

Figure 441: Curve representing simple harmonic oscillations

Figure 442: Velocity-time graph

Figure 443: Car motion graph

y y

y +89/5/8+ y

Figure 444: Two pendulums, A and B, in the game �Cut the Rope�

Figure 445: Screenshot from the game �Angry Birds Star Wars�

y y

y +89/6/7+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1: a b c d

Question 2: a b c d

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Question 4: a b c d

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Question 6: a b c d

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Question 9: a b c d

Question 10: a b c d

Question 11: a b c d

Question 12: a b c d

Question 13: a b c d

Question 14: a b c d

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Question 16: a b c d

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Question 18: a b c d

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Question 20: a b c d

Question 21: a b c d

Question 22: a b c d

Question 23: a b c d

Question 24: a b c d

Question 25: a b

y y

y +90/1/6+ yGeneral Physics 1 1 September 2014

Makeup Final ExamName:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Question 1 The speed of light in vacuum is equalto 299 792 458m/s. How does this value look like ex-pressed in scienti�c notation?

a 2.997 924 58× 108 ms−1

b 299 792 458ms−1

c 299.792 458Mms−1

d 2.997 924 58× 109 m/s

Question 2 Average speed, savg, is de�ned as:

a average velocity per unit time

savg =∆vavg

∆t

b average displacement per unit time

savg =∆x

∆t

c total distance covered covered per unit time:

savg =total distance

∆t

d averege velocity of an object

savg = v̄

Question 3 An object is constantly acceleratingwith a = 1m/s2. Which function represents changeof its initial velocity was v0 = 2m/s?

a f(x)

b g(x)

c j(x)

d h(x)

Question 4 What is the magnitude of vector~a +~b if the points are A(0, 0), B(1, 2), C(3, 1) andD(2, 2)?

A

B

C

D

~a

~b

a 3

b√

5

c 9

d 5

Question 5 The unit of force, expressed in base

SI units is:

a 1 kgm s−2

b 1 gm s−2

c 1N

d 1 lb

Question 6 The relationship between static fric-tional force, ~fs, and kinetic frictional force ~fk is:

a ~fs < ~fk

b ~fs = −~fkc ~fs = ~fk

d ~fs > ~fk

Question 7 Two objects move at the same speedin opposite directions. What is the relationship be-tween their kinetic energies?

a K1 < K2

b K1 = K2 = 0

c K1 = −K2

d K1 = K2

Question 8 The work done on a particle by aconstant force ~F during displacement ~d is:

a W = ~F · ~db W = Fd

c W = mgh

d W = Fd · sinφ

y y

y +90/2/5+ yQuestion 9 If the change of potential energy ∆Uof a falling object is equal to −100 J. What is thework done by the gravitational force?

a W = 100N

b W = −100 J

c W = 100 J

d W = 0 J

Question 10 In an isolated system where onlyconservative forces cause energy changes. . .

a the kinetic energy is equal to 0.

b the potential energy is constant.

c the sum of kinetic energy and potential energycannot change.

d the system is also called �conservative.�

Question 11 The time rate of change of the mo-mentum d~p

dtof a particle is equal to. . .

a the sum of kinetic and potential energy.

b the net force acting on the particle and is inthe direction of that force.

c the kinetic energy of the particle.

d the net force acting on the particle in the op-posite direction of that force.

Question 12 If an object of very low mass m1,travelling at the speed of v1i, collides with a station-ary massive objectm2, the �nal speed of the massiveobject v2f will approximately be equal to:

a v2f ≈ v1i.b v2f ≈ 0.

c v2f ≈ −v1i.

d v2f ≈2m1

m2v1i.

Question 13 What is the angular velocity ω ofa long clock hand?

a 2π radmin−1.

b 1 rev.

c 6.283 rad h−1.

d 60min.

Question 14 The �gure 446 shows how displace-ment x of a simple harmonic oscillator is changingwith time t. The motion can be represented withfunction

x(t) = xm cos(ωt+ ϕ).

What is the value of phase constant ϕ?

a 0.5.

b π2.

c 3π2.

d 1.5.

Question 15 The speed of traveling wave v isequal to:

a λf

b 1T

c ωt

d λT

Question 16 Sound waves are:

a longitudinal mechanical waves that can travelthrough solids, liquids, or gases.

b transversal mechanical waves that can travelthrough solids, liquids, or gases.

c longitudinal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

d transversal mechanical waves that can travelthrough gases, but not through solids or liq-uids.

Problems

Question 17 A velocity�time graph for an ob-ject moving along the x axis is shown in Figure 447.Calculate road after 15 s.

a 100m

b 675m

c 600m

d 225m

Question 18 Figure 448 represents the velocityof straight line motion of a car. How far will travelthe car for the �rst 8 seconds of motion?

a 34m

b 12m

c 28m

d 45m

y y

y +90/3/4+ yQuestion 19 Consider the system shown in Fig-ure below. The rope and pulley have negligible mass,and the pulley is frictionless. Initially the 6 kg blockis moving downward and the 8 kg block is moving tothe right, both with a speed of 1m/s. The blockscome to rest after moving 3m. Use the work-energytheorem to calculate the coe�cient of kinetic frictionbetween the 8 kg block and the tabletop.

a 0.7415

b 0.2667

c 0.6667

d 0.9832

Question 20 An object oscillates with simpleharmonic motion along the x axis. Its displacementfrom the origin varies with the time according to theequation

x(t) = (4m)× cos(πt+π

4),

where t is in seconds and the angles are in radians.Find velocity and acceleration of object after �rstsecond.

a v(1 s) = 5.444ms−1, a(1 s) = 12.498ms−2

b v(1 s) = 8.881ms−1, a(1 s) = 27.887ms−2

c v(1 s) = 10.322ms−1, a(1 s) = 12.887ms−2

d v(1 s) = 2.789ms−1, a(1 s) = 0.112ms−2

Question 21 Vertical spiral spring, which hasweight on it, is l = 10m long. The weight is pulledfrom equilibrium position and left to oscillate. Pe-riod is T = 5 s. What is the length l0 of the springwhen there is no weight on it?

a 1.552m

b 2.134m

c 8.100m

d 3.781m

Extra Credit Questions

Question 22 In the game �Cut the Rope� (seeFig. 449) two pendulums, A and B, have the lengthsof 11 and 4 units, respectively. What is the ratio oftheir periods, TA

TB?

a 0.603

b 0.364

c 2.75

d 11.658

Question 23 In the game �Angry Birds StarWars� (see Fig. 450) Luke is being ejected towardsunsuspecting stormtroopers. Which conditions arerequired for him to achieve the maximum distance?

a maximum pull of the slingshot at α = 30◦

b maximum pull of the slingshot at α = 60◦

c maximum pull of the slingshot at α = 45◦

d half of the maximum pull of the slingshot atα = 45◦

Question 24 At which angle α Luke shouldbe ejected (see Fig. 450) to achieve the maximumheight?

a α = π rad

b α = 45◦

c α = 60◦

d α = 0.5π rad

Question 25 The daytime temperature on theplanet of Hoth (see Fig. 450) is −32 ◦C. Howevernight-time temperatures go as low as −60 ◦C. Ifthe air resistance is taken into consideration, do youthink that Luke would go further during the nightfor the same ejecting conditions? Assume the atmo-spheric pressure is the same.

a Yes

b No

y y

y +90/4/3+ y

Figure 446: Curve representing simple harmonic oscillations

Figure 447: Velocity-time graph

Figure 448: Car motion graph

y y

y +90/5/2+ y

Figure 449: Two pendulums, A and B, in the game �Cut the Rope�

Figure 450: Screenshot from the game �Angry Birds Star Wars�

y y

y +90/6/1+ y

Answers:

Name:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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y y