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Name: __________________________ Date: _____________

Use the following to answer question 1:

1. The figure represents the parabolic trajectory of a ball going from A to E in earth gravity

but without air resistance. What is the direction of the acceleration at point C?

A) It is to the right.

B) It is to the left.

C) It is straight up.

D) It is straight down.

E) The acceleration of the ball is zero.

2. Which of the following graphs of position d versus t corresponds to motion of an object

in a straight line with positive acceleration?

A)

B)

C)

D)

E)

3. Two projectiles are launched with the same initial speed from the same location, one at a

30° angle and the other at a 60°angle with the horizontal. They land at the same height

at which they were launched. If air resistance is negligible, how do the projectiles'

respective maximum heights, H30 and H60, and times in the air, T30 and T60, compare

with each other?

Maximum Height Time in Air

A) H30 > H60 T30 > T60

B) H30 > H60 T30 < T60

C) H30 = H60 T30 = T60

D) H30 < H60 T30 > T60

E) H30 < H60 T30 < T60

4.

The free-body diagram that best represents the forces acting on the student sliding down

the incline is

A) 1

B) 2

C) 3

D) 4

E) 5

5. What do acceleration and velocity have in common?

A) Both are scalars.

B) Both are vectors.

C) Both are measured in units of distance divided by time.

D) Both are measured in units of distance divided by time squared.

E) They are different names for the same quantity.

6. An object is shot vertically upward into the air with a positive initial velocity. Which of

the following correctly describes the velocity and acceleration of the object at its

maximum elevation?

Velocity Acceleration

A) Positive Positive

B) Zero Zero

C) Negative Negative

D) Zero Negative

E) Positive Negative

7.A ball is thrown and follows a parabolic path, as shown above. Air friction is

negligible. Point Q is the highest point on the path.

Which of the following best indicates the direction of the acceleration, if any, of the ball

at point Q?

A)

B)

C)

D)

E) There is no acceleration of the ball at point Q.

8.The graph above shows the velocity v as a function of time t for an object moving in a

straight line. Which of the following graphs shows the corresponding displacement x as

a function of time t for the same interval?

A)

B)

C)

D)

E)

9. The displacement of an object for a round trip between two locations

A) is always greater than zero.

B) is always less than zero.

C) is zero.

D) can be greater than or less than but not equal to zero.

E) can have any value.

10. A 500-kilogram sports car accelerates uniformly from rest, reaching a speed of 30

meters per second in 6 seconds. During the 6 seconds, the car has traveled a distance of

A) 15 m

B) 30 m

C) 60 m

D) 90 m

E) 180 m

11.

Which of the following free-body diagrams represents the car going uphill at a constant

speed?

A) 1

B) 2

C) 3

D) 4

E) 5

12. In the absence of air friction, an object dropped near the surface of the Earth experiences

a constant acceleration of about 9.8 m/s2. this means that the

A) speed of the object increases 9.8 m/s during each second

B) speed of the object as it falls is 9.8 m/s

C) object falls 9.8 meters during each second

D) object falls 9.8 meters during the first second only

E) derivative of the distance with respect to time for the object equals 9.8 m/s2

13. Several forces act on an object, but the object is in equilibrium. Which of the following

statements about the object must be true?

I. It has zero acceleration.

II. The net force acting on it is zero.

III. It is at rest.

IV. It is moving with constant velocity.

A) I and II

B) I and III

C) I and IV

D) II and III

E) II and IV

14.

A ball is thrown horizontally from a cliff with a velocity v0. A graph of the acceleration

of the ball versus the distance fallen could be represented by curve

A) 1

B) 2

C) 3

D) 4

E) 5

15.A block of mass M1 on a horizontal table is connected to a hanging block of mass M2 by

a string that passes over a pulley, as shown above. The acceleration of the blocks is

0.6g. Assume that friction and the mass of the string are negligible.

The ratio of masses M2/M1 is

A) 0.67

B) 1.0

C) 1.4

D) 1.5

E) 1.6

16.A target T lies flat on the ground 3 m from the side of a building that is 10 m tall, as

shown above. A student rolls a ball of the horizontal roof of the building in the

direction of the target. Air resistance is negligible. The horizontal speed with which the

ball must leave the roof if it is to strike the target is most nearly

A)3

10 m/s

B) 2 m/s

C)3

2 m/s

D) 3 m/s

E)5

103

m/s

17. A ball is thrown straight up from a point 2 m above the ground. The ball reaches a

maximum height of 3 m above its starting point and then falls 5 m to the ground. When

the ball strikes the ground, what is its displacement from its starting point?

A) Zero

B) 8 m below

C) 5 m below

D) 2 m below

E) 3 m above

18. An object of mass 100 kg is initially at rest on a horizontal frictionless surface. At time

t = 0, a horizontal force of 10 N is applied to the object for 1 s and then removed.

Which of the following is true of the object at time t = 2 s if it is still on the surface?

A) It is at the same position it had at t = 0, since a force of 10 N is not large enough to

move such a massive object.

B) It is moving with constant nonzero acceleration.

C) It is moving with decreasing acceleration.

D) It is moving at a constant speed.

E) It has come to rest some distance away from the position it had at t = 0.

19. The velocity of a projectile at launch has a horizontal component uh and a vertical

component uv. Air resistance is negligible. When the projectile is at the highest point of

its trajectory, which of the following show the vertical and horizontal components of its

velocity and the vertical component of its acceleration?

Vertical Horizontal Vertical

Velocity Velocity Acceleration

A) uv uh 0

B) uv 0 0

C) 0 uh 0

D) 0 0 g

E) 0 uh g

20.A ball is thrown and follows a parabolic path, as shown above. Air friction is

negligible. Point Q is the highest point on the path.

Which of the following best indicates the direction of the net force on the ball at point

P?

A)

B)

C)

D)

E)

21.A block of mass M1 on a horizontal table is connected to a hanging block of mass M2 by

a string that passes over a pulley, as shown above. The acceleration of the blocks is

0.6g. Assume that friction and the mass of the string are negligible.

The tension T in the string is

A) zero

B) 0.4 M2g

C) 0.6 M2g

D) 1.0 M2g

E) 1.6 M2g

22. Which of the following pairs of graphs shows the distance traveled versus time and the

speed versus time for an object uniformly accelerated from rest at time t = 0?

A)

B)

C)

D)

E)

23. An object released from rest at time t = 0 slides down a frictionless incline a distance of

1 meter during the first second. The distance traveled by the object during the time

interval from t = 1 second to t = 2 seconds is

A) 1 m

B) 2 m

C) 3 m

D) 4 m

E) 5 m

24. A rock is dropped from the top of a 45-meter tower, and at the same time a ball is

thrown from the top of the tower in a horizontal direction. Air resistance is negligible.

The ball and the rock hit the level ground a distance of 30 meters apart. The horizontal

velocity of the ball thrown was most nearly

A) 5 m/s

B) 10 m/s

C) 14.1 m/s

D) 20 m/s

E) 28.3 m/s

25. Two of the responses below correctly rearrange this physics equation:

gU mg y∆ = ∆

Choose the two correct answers

A)g

Um

g y

∆=

∆

B)g

Uy

mg

∆∆ =

C)g

U mg

y

∆=

∆

D)g

m Uy

g

∆∆ =

26. A truck traveled 450 meters north in 80 seconds , and then traveled 300 meters south in

70 seconds. The magnitude of the average velocity of the truck was most nearly

A) 1 m/s

B) 5 m/s

C) 9.9 m/s

D) 4.3 m/s

27. A fox moving in the positive x direction passes the origin at time t = 0. Between t = 0

and t = 1 second, the fox has a constant speed of 24 meters per second. At t = 1 second,

the fox is given a constant acceleration of 6 meters per second squared in the negative x

direction. the position x of the fox at t = 11 seconds is

A) +99 m

B) +36 m

C) -36 m

D) -75 m

28. A diver initially moving horizontally with speed v dives off the edge of a vertical cliff

and lands in the water a distance d from the base of the cliff. How far from the base of

the cliff would the diver have landed if the diver initially had been moving horizontally

with speed 2v?

A) d

B) 2d

C) 2d

D) can't be determined without knowing the height of the cliff

Questions 6-7

The graph above shows the velocity versus time for an object moving in a straight line.

29. Calculate the total displacement of the object during the interval t = 0 s through t = 6 s

A) 14 m

B) 6 m

C) 4 m

D) 2 m

30. During which time interval was the object at rest

A) 0 s to 2 s

B) 2 s to 4 s

C) 4 s to 6 s

D) none of the above

Questions 8 - 9

An object is thrown with an initial speed v0 near the surface of Earth. Assume that air resistance

is negligible and the gravitational field is constant.

31. If the object is thrown horizontally, the direction and magnitude of its acceleration while

it is in the air is

A) upward and decreasing

B) downward and increasing

C) upward and constant

D) downward and constant

32. If the object is thrown vertically upward, the direction and magnitude of its acceleration

while it is in the air is

A) upward and decreasing

B) downward and increasing

C) upward and constant

D) downward and constant

Questions 10-12

The graph above represents position x versus time t for an object being acted on by a force

resulting in constant acceleration.

33. The displacement of the object during the interval between 1 s and 3 s is most nearly

A) 18 m

B) 8 m

C) 16 m

D) 2 m

34. A velocity time graph that is drawn to represent the situation above would be:

A) A straight line with positive slope

B) A straight line with zero slope

C) A straight line with negative slope

D) A curve that is concave upward

35. The average speed during the interval between 1 s and 3 s is most nearly

A) 8 m/s

B) 6 m/s

C) 2 m/s

D) 3 m/s

36.0x x x

v v a t= +

A) 0x x xt v a v= − −

B) 0x x

x

v vt

a

−=

C) 0x

x

x

vt v

a= −

D)0x x

x

ta v

v= +

37. netFa

m=

A) net

mF

a=

B) netF

ama

=

C) net

mF

a=

D) netF

ma

=

38. 1 2G

Gm mU

r= −

A) 1 2

1G

Gm mr U= −

B) 1 2GU m m

Gr

= −

C)2

1

GU rm

Gm= −

D) 1 2

1

GU Gm m

r = −

39. 2s

mT

kπ=

A)2

24

smT

kπ

=

B)2

24

sT

m kπ

=

C)2

2

2

s

mkT

π=

D)2

2s

mk

Tπ=

40. On a graph that represents position on the vertical axis and time on the horizontal axis, a

line with 0 slope represents:

A) Constant non zero velocity

B) zero velocity

C) constant non zero acceleration

D) constantly changing position

Choose the answer choice which correctly rearranged the given equation.

41. On a graph that represents velocity on the vertical axis and time on the horizontal axis, a

straight line with positive slope represents.

A) Constant non zero acceleration

B) Constant non zero velocity

C) constant non zero position

D) Constant zero velocity

42.In the graph shown above, determine the velocity of the object at t =2.5 s.

A) 0 m/s

B) 10 m/s

C) 30 m/s

D) 20 m/s

43.In the graph shown above, determine the displacement of the object from t = 3.0 s to t =

5.0 s.

A) 40 m

B) 0 m

C) 2 m

D) 20 m

44.In the graph shown above determine the position of the object at t = 3.5 s.

A) 40 m

B) 0 m

C) 20 m

D) 35 m

45.In the graph shown above determine the acceleration at t = 6 s.

A) 0 m/s2

B) 10 m/s2

C) -10 m/s2

D) -20 m/s2

46.In the graph shown above determine the displacement of the object between t = 2 s and t

= 4 s

A) 20 m

B) 40 m

C) 0 m

D) 30 m

47.Which of the following is a reasonable description of motion, for the graph shown

above?

A) An object accelerates at a constant rate for 2 seconds, remains stationary for 3

seconds, and then slows down for 4 seconds

B) An object accelerates at a constant rate for 2 seconds, moves at constant speed for

3 seconds, and then moves at constant velocity for 4 seconds

C) An object accelerates at a constant rate for 2 seconds, moves at constant speed for 3

seconds, slows to a stop in 2 seconds, then changes direction and increases speed

for 2 seconds

D) An object accelerates at a constant rate for 2 seconds, remains stationary for 3

seconds, slows to a stop in 2 seconds, then changes direction and increases speed

for 2 seconds

48.Two blocks are pushed along a horizontal frictionless surface by a force of 20 newtons

to the right, as shown above. The force that the 2-kilogram block exerts on the 3-

kilogram block is

A) 8 newtons to the left

B) 8 newtons to the right

C) 10 newtons to the left

D) 12 newtons to the right

E) 20 newtons to the left

49. If an object is moving at uniform speed in a straight line, its instantaneous velocity

halfway through any time interval is

A) greater than its average velocity.

B) less than its average velocity.

C) the same as its average velocity.

D) half of its average velocity.

E) twice its average velocity.

A block of mass 3 kg slides along a horizontal surface that has negligible friction except for one

section, as shown above. The block arrives at the rough section with a speed of 5 m/s and leaves

it 0.5 s later with a speed of 3 m/s.

50. The magnitude of the average frictional force exerted on the block by the rough section

of the surface is most nearly

A) 30 N

B) 12 N

C) 4 N

D) 3 N

51. The coefficient of kinetic friction between the rough surface and the block is most nearly

A) 0.4

B) 4.0

C) 2.5

D) 0.6

Four particles above represent the velocity time graphs of 4 different particles that start at x = 0

at t = 0 and move in one dimension independently of one another. Graphs of the velocity of each

particle versus time are shown below.

52. Which particle is farthest from the origin at 2 seconds?

A) A & B are equally distant

B) C& D are equally distant

C) C

D) D

53. Which particle moves with a constant non zero acceleration?

A) A

B) B

C) C

D) D

54. Which particle is in its initial position at t = 2 seconds?

A) A

B) B

C) C

D) D

55. An object of mass m is initially at rest and free to move without friction in any direction

in the xy- plane. A constant net force of magnitude F directed in the +x direction acts on

the object for 1 s. Immediately thereafter a constant net force of the same magnitude F

directed in the +y direction acts on the object for 1 s. After, this no forces act on the

object.

Which of the following vectors could represent the velocity of the object at the end of 3

s, assuming the scales of x and y axes are equal?

A)

B)

C)

D)

56. Calculate the centripetal acceleration of an olympic athlete who runs the curve of the

track at 11 m/s. The curve has a radius of 36.5 m.

A) 0.30 m/s2

B) 1.2 m/s2

C) 3.3 m/s2

D) 2.4 m/s2

57. If the maximum possible frictional force between an 1,100 kg car's tires and the roadway

is 1,200 N, the maximum speed the car could travel around a circular curve with a radius

of 200 m is most nearly

A) 25 m/s

B) 20 m/s

C) 15 m/s

D) 10 m/s

58. A planet of mass m orbits a star of mass M , where m M<< . The orbit is circular, its

radius is r, and its period is T. True statements about the planet's orbit include which of

the following?

I. The orbital speed equals 2 r

T

π

II. The gravitational force equals 2

MmG

r

III. If the orbital radius r, were greater, T would also be greater

A) I only

B) II only

C) II and III only

D) I, II, and III

59. A mobile phone is dropped from rest and falls for 3 seconds. The distance the mobile

phone falls is most nearly

A) 45 m

B) 15 m

C) 30 m

D) 3.3 m

60. A baseball is dropped from rest and reaches a speed of 10 m/s. The distance the

baseball traveled is most nearly

A) 5 m

B) 9.8 m

C) 1 m

D) 25 m

Moon mass (kg) orbital radius (m) orbital speed (m/s)

Jonah 225 10× 84 10× 913

Ninevah 225 10× 88 10× 645

Two moons orbit a certain planet whose mass is much greater than that of either moon; orbital

data is shown in the table above.

61. Which of the following statements is correct?

A) Ninevah experiences a force of gravity from the planet that is 4 times greater than

the force of gravity Jonah experiences

B) Ninevah experiences a force of gravity from the planet that equals to the force of

gravity that Jonah experiences

C) Ninevah experiences a force of gravity from the planet that is 4 times less than the

force of gravity that Jonah experiences

D) Ninevah experiences a force of gravity from the planet that is 2 times less than the

force of gravity that Jonah experiences

62. What information additional information would be required to calculate the mass of the

planet?

A) The period of one of the moon's orbit

B) No additional information is required

C) The radius of the planet

D) The period of the planet's orbit around a star

63. An automobile is proceeding around a highway curve of 100 m radius. The surface of

the roadway is horizontal, and the coefficient of friction between the tires and the

roadway is 0.50. The maximum speed with which the car can round the curve without

slipping is most nearly:

A) 10 m/s

B) 5 m/s

C) 500 m/s

D) 22 m/s

64. A child has a toy tied to the end of a string and whirls the toy at constant speed in a

horizontal circular path of radius R. The toy completes each revolution of its motion in

a time period T. What is the magnitude of the acceleration of the toy?

A)2

2

4 R

T

π

B) zero

C)2

R

T

π

D) 2 gπ

65.A steel ball supported by a stick rotates in a circle of radius r, as shown above. The

direction of the net force acting on the ball when it is in the position shown is indicated

by which of the following?

A)

B)

C)

D)

66. A horizontal, uniform board of weight 125 N and length 4 m is supported by vertical

chains at each end. A person weighing 500 N is sitting on the board. The tension in the

right chain is 250 N.

The tension in the right chain is most nearly

A) 375 N

B) 250 N

C) 625 N

D) 500 N

67. A new planet is discovered that has twice the Earth's mass and twice the Earth's radius.

On the surface of this new planet, a person who weighs 500 N on Earth would

experience a gravitational force of

A) 125 N

B) 250 N

C) 500 N

D) 1000 N

68. A ball is thrown straight up in the air. When the ball reaches its highest point, which of

the following is true?

A) It is in equilibrium

B) It has maximum speed

C) It has zero acceleration

D) None of the above

69. A 0.7 kg ball is placed on a vertical 200 N/m spring that is compressed 0.4 m. When the

spring is released how fast will the ball be travelling?

A) 6.8 m/s

B) 10.7 m/s

C) 114 m/s

D) 56 m/s

Students measure the change in length for a rubber band subjected to various forces. The graph

above summarizes the data.

70. Calculate the work done to stretch the rubber band 0.5 m.

A) 0.625 J

B) 2.5 J

C) 25 J

D) 1.25 J

71. Calculate the spring constant of the rubber band.

A) 10 N/m

B) 20 N/m

C) 2.5 N/m

D) 4.5 N/m

72. Calculate the amount of energy stored in a spring with a spring constant of 500 N/m if it

is compressed a distance of 0.4 m.

A) 100 J

B) 40 J

C) 200 J

D) 140 J

73. A ball is dropped from rest and falls to the floor. The initial gravitational potential

energy of the ball-Earth-floor system is 10 J. The ball then bounces back up to a height

where the gravitational potential energy is 7 J. What was the mechanical energy of the

ball-Earth-floor system the instant the ball left the floor?

A) 0 J

B) 3 J

C) 7 J

D) 10 J

The figure above shows the net force exerted on an object as a function of the position of the

object. The object starts from rest at position x = 0 m and acquires a speed of 3.0 m/s after

traveling a distance of 0.090 m.

74. Calculate the work done on the object by the net force.

A) 0.135 J

B) 0.27 J

C) 13.5 J

D) 0.06 J

75. What is the mass of the object?

A) 0.015 kg

B) 0.030 kg

C) 0.045 kg

D) 0.060 kg

76. A student of mass m runs up a set of stadium steps in time t. Her vertical displacement

is h. Which of the following expresses her work done against gravity?

A) mgh

B) mh

C) 21

2mv

D)mg

h

77. A student of mass m runs up a set of stadium steps in time t. Her vertical displacement

is h. Which of the following expresses her power?

A) mgh

B)mgh

tC) mgt

D)mg

t

78. George does 18 J of work to lift a 1 kg box at a constant speed. If he drops it, how fast

will the box be going when it hits the ground?

A) 18 m/s

B) 1.8 m/s

C) 6 m/s

D) 36 m/s

79. An 80 kg student begins from rest on the floor of the coliseum and runs to the top of the

coliseum which is 9 m higher than the floor. The trip takes 8 seconds. The student's

power is most nearly

A) 900 W

B) 7200 W

C) 90 W

D) 5760 W

80. Air bags protect passengers in cars because

A) during a collision, the airbag increases the time of the impulse

B) during a collision, the airbag decreases the time of the impulse

C) during a collision, the airbag increases the force of the impulse

D) during a collision, the airbag has no effect on the force of the impulse

81. Momentum is a combination of an object's

A) inertia and motion

B) potential and kinetic energy

C) inertia and potential energy

D) elastic energy and acceleration

82. Jimi (80 kg) and Tony (100 kg) stand motionless on ice skates, facing each other at

arm's length on a smooth, frozen pond. Which of the following actions will give Tony

the greatest speed?

A) Tony pushes Jimi with a 100 N force for 0.1 s

B) Jimi pushes Tony with a force of 60 N for 0.2 s

C) Tony pushes Jimi with a 200 N force for 0.08 s

D) Jimi pushes Tony with a force of 250 N for 0.04 s

83. A spacewalking astronaut is stranded a few meters from the space-station door. His jet

pack his broken, but he can take it off and toss it in order to propel himself toward the

door. In what direction should he toss it?

A) toward the door

B) away from the door

C) any direction would work

D) the answer cannot be determined from the information provided.

84. A net force of 100N acts on a table for 10 s. Find the change in the table's momentum.

A) 1000 kg m/s

B) 10 kg m/s

C) 100 kg m/s

D) 1 kg m/s

85. An impulse of 100 kg m/s acts on a 100 kg table. Find the magnitude of the table's

change of velocity.

A) 1 m/s

B) 10 m/s

C) 5 m/s

D) 100 m/s

86. A 1500 kg car sliding on frictionless ice at 15 m/s hits a stationary, 2500 kg minivan.

The two vehicles are locked together after impact. Their speed after impact is most

nearly

A) 0 m/s

B) 5.6 m/s

C) 7.5 m/s

D) 15 m/s

87. Which of the following equipment is the best choice for investigating perfectly elastic or

nearly perfectly elastic collisions?

A) a marble launcher that causes two marbles to collide with each other

B) two sliding carts on a frictionless track that stick together after impact

C) ball of soft clay that flattens when it hits the ground

D) crash test cars with front ends that crumple upon impact to absorb all the initial

kinetic energy

88. A truck with a mass of 2000 kg and moving at 15 m/s collides with a stationary

passenger car of mass 1000 kg. The two cards stick together after impact. Assuming

that they are free to move afterward, what will the momentum of the truck/car system

be?

A) 2000 kg m/s

B) 3000 kg m/s

C) 15,000 kg m/s

D) 30,000 kg m/s

89. Two skaters are initially at rest next to each other on frictionless ice. Skater A pushes on

Skater B. If skater A has greater mass than skater B, which of the following relates the

magnitudes of their momenta p and their kinetic energies K after the push?

A) pA = pB and KA < KB

B) pA = pB and KA = KB

C) pA = pB and KA > KB

D) pA < pB and KA < KB

90. A force of constant magnitude F and fixed direction acts on an object of mass m that is

initially at rest. If the force acts for a time interval t∆ over a displacement x∆ , what is

the magnitude of the resultant change of the linear momentum of the object?

A) F t∆B) F x∆

C)F t

m

∆

D) mF t∆

91.A lightweight beam, 4 m long, is supported by a fulcrum at the midpoint. A 5 kg mass

rests on the beam's left end, and an 8 kg mass rests on the right end. A third object, of

mass m, is to be placed a distance d to the left of the fulcrum in order to level the beam.

Which mass-and-distance pair will accomplish this equilibrium?

A) m = 12 kg and d = 0.5 m

B) m = 10 kg and d = 1.0 m

C) m = 12 kg and d = 1.0 m

D) m = 3 kg and d = 1.0 m

92. A 5 kg box sits on one end of a balance beam of length 1 m. The fulcrum is in the

middle. How far from the fulcrum would you have to place a second 10 kg box to

balance the system?

A) 0.25 m

B) 0.5 m

C) 0.75 m

D) 1.0 m

93. A beam (of negligible mass) with length of 1 m has a fulcrum 0.25 from one end, and a

10 kg bag of flour located 0.75 m from the same end. The torque about the fulcrum is

most nearly

A) 24.5 N m

B) 49 N m

C) 73.5 N m

D) 196 N m

94.A disk with radius 2 m is initially rotating counterclockwise around a fixed axis with

angular speed 0ω . The net torque acting on the system is most nearly

A) 20 N m

B) 40 N m

C) 60 N m

D) The answer cannot be calculated without knowing 0ω

95.A uniform plank is placed with a pivot at its center. A block is placed on the plank to

the left of the pivot, as shown in the figure above. A student is asked to place a second

block of greater mass on the plank so it will balance when horizontal. Which of the

following quantities are needed to determine where the second block should be placed?

Select two answers.

A) The mass of the plank

B) The mass of each bock

C) The length of the plank

D) The distance from the pivot to the left block

96. A horizontal uniform board of weight 125 N and length 4 m is supported by vertical

chains at each end. A person weighing 500 N is sitting on the board. The tension in the

right chain is 250 N.

How far from the left end of the board is the person sitting?

A) 0.4 m

B) 1.5 m

C) 2 m

D) 2.5 m

97. An empty sled of mass M moves without friction across a frozen point at speed v0. Two

objects are dropped vertically into the sled one at a time: first an object of mass m and

then an object of mass 2m. Afterward the sled moves with speed vf. What would be the

final speed of the sled if the objects were dropped into it in reverse order?

A)3

fv

B)2

fv

C) vf

D) 2vf

98. A ball of mass m and momentum p has kinetic energy equal to which of the following?

A)2

2

p

m

B)2

p

m

C)22 p

m

D)2

2m

p

99.An object weighing 120 N is set on a rigid beam of negligible mass at a distance of 3 m

from a pivot, as shown above. A vertical force is to be applied to the other end of the

beam a distance of 4 m from the pivot to keep the beam at rest and horizontal. What is

the magnitude F of the force required?

A) 10 N

B) 30 N

C) 90 N

D) 120 N

100.A horizontal beam of weight W is supported by a hinge and a cable as shown above.

The force exerted on the beam by the cable has a vertical component which must be

A) non zero and point up

B) non zero and point down

C) non zero but it is impossible to know direction w

D) zero

101.In a lab, a block weighing 80 N is attached to a spring scale, and both are pulled to the

right on a horizontal surface, as shown above. Friction between the block and the

surface is negligible. What is the acceleration of the block when the scale reads 32 N?

A) 2.0 m/s2

B) 2.5 m/s2

C) 4.0 m/s2

D) 6.0 m/s2

102.A rod on a horizontal tabletop is pivoted at one end and is free to rotate without friction

about a vertical axis, as shown above. A force F is applied at the other end, at an angle θ

to the rod. If F were to be applied perpendicular to the rod, at what distance from the

axis should it be applied in order to produce the same torque?

A) sinL θB) cosL θC) L

D) 2 L

103.The force that must be applied to the spring in the diagram above to create the

displacement shown is most nearly

A) 6 N

B) 60 N

C) 600 N

D) 37,500 N

Questions 2-4

Three systems are shown above.

1) A single spring

2) Two identical springs connected in series

3) Two identical springs connected in parallel

Each individual spring has a spring constant of 15 N/m

104. Which system will have the greatest change in length when loaded with 1.0 kg?

A) System 1

B) System 2

C) System 3

D) Impossible to Determine

105. Calculate the spring constant of system 2.

A) 15 N/m

B) 30 N/m

C) 45 N/m

D) 7.5 N/m

106. Calculate the spring constant of system 3

A) 30 N/m

B) 45 N/m

C) 15 N/m

D) 7.5 N/m

107. Two types of simple harmonic motion are (1) a mass spring oscillator and (2) a simple

pendulum. Which of these system's frequency changes when the mass of the system

changes?

A) both

B) neither

C) only the simple pendulum

D) only the mass-spring oscillator

108.Three pendulums are shown here, each labeled with it's frequency of oscillation. Which

statement best describes the relationship between pendulum length and pendulum

period?

A) As length increases, period increases

B) As length increases, period decreases

C) Period is not dependent upon length

D) The mass must be known to answer the question.

109.The position of an oscillating mass in a mass-spring system is shown above as a

function of time. Which quantity is changing as time passes?

A) period

B) frequency

C) mechanical energy

D) none of the above

A student is observing an object of unknown mass that is oscillating horizontally at the end of an

ideal spring. The student measures the object's period of oscillation with a stopwatch.

110. The student wishes to determine the spring constant of the spring using the

measurements of the period of oscillation. Which of the following pieces of equipment

would provide another measured quantity that is sufficient information to complete the

determination of the spring constant?

A) Meterstick

B) Motion sensor

C) Balance

D) Photogate

111. Using a number of measurements, the student determines the following:

The total energy of the object-spring system is most nearly

A) 0.98 J

B) 3.8 J

C) 7.6 J

D) 12.8 J

112. While the object is continuously oscillating, the student determines the maximum speed

of the object during two oscillations. The first speed is 3.5 m/s and the second speed is

2.7 m/s. Which of the following could account for the decrease in the object's maximum

kinetic energy?

A) Energy was transferred from the object to the spring, which increased the

maximum potential energy of the spring.

B) Energy was transferred from the spring to the object, which decreased the

maximum potential energy of the spring.

C) As energy was transferred back and forth between the object and the spring, a

greater average share of the energy became potential energy of the spring.

D) The object-spring system lost energy to its surroundings.

Maximum speed of object 3.9 m/s

Spring constant 85 N/m

Mass of object 0.50 kg

Amplitude of Oscillation 0.30 m

113.A block of mass 3.0 kg is hung from a spring, causing it to stretch 12 cm at equilibrium

as shown above. The 3.0 kg block is then replaced by a 4.0 kg block, and the new block

is allowed to come to equilibrium How far will the 4.0 kg block stretch the string at

equilibrium?

A) 9 cm

B) 16 cm

C) 24 cm

D) 32 cm

114.

A particle oscillates up and down in simple harmonic motion. Its height y as a function

of time t is shown in the diagram above. At what time t does the particle achieve its

maximum positive acceleration?

A) 1 s

B) 2 s

C) 3 s

D) None of the above, because the acceleration is constant

115. When an object oscillating in simple harmonic motion is at its maximum displacement

from the equilibrium position, which of the following is true of the values of its speed

and the magnitude of the restoring force?

Speed Restoring Force

A) Zero Maximum

B) Zero Zero

C) 1/2 Maximum 1/2 Maximum

D) Maximum Zero

116. Two students use a wave machine in lab to create a standing wave with a 1 m long

string. There is a node at each end of the string. In total, there are 5 nodes in this wave.

How many antinodes are in the wave?

A) 3

B) 4

C) 5

D) 6

117. Which of the following terms are used to describe waves?

I. wavelength

II. mass

III. velocity

IV. force

V. amplitude

A) I and II only

B) III, IV, and V only

C) I and III only

D) I, III and V only

118. When two waves overlap each other such that the combined amplitude is greater than

the amplitude of either wave, this is an example of

A) constructive interference.

B) destructive interference.

C) diffractive interference.

D) rarefactive interference.

119. A ocean buoy moves up and down in a complete cycle once every 4 s because of passing

water waves. Find the wavelength of the waves if their speed is 4 m/s.

A) 16 m

B) 1 m

C) 8 m

D) cannot be determined

Questions 1 and 2

A student plays a musical instrument that can be modeled as a standing wave in a pipe as shown

above. Assume the speed of sound is 340 m/s.

120. If the length of the pipe L is measured to be 0.33 m, calculate the wavelength of the

standing wave shown.

A) 1.32 m

B) 0.33 m

C) 0.66 m

D) 0.08 m

121. Calculate the frequency of the note being played if the wavelength of the standing wave

is 0.77 m

A) 256 Hz

B) 440 Hz

C) 261 Hz

D) 340 Hz

122. A student rubs a rabbit fur with a rubber balloon. The balloon becomes negatively

charged. Which of the following physically describes what has happened?

A) The balloon gains electrons and the rabbit fur gains protons

B) The balloon gains electrons and the rabbit fur loses electrons

C) The balloon loses protons and the rabbit fur gains protons

D) The balloon loses protons and the rabbit fur loses electrons

123. A student rubs two balloons with rabbit fur causing each balloon to gain a negative

charge. The balloons are then suspended side by side. Which of the following is a true

statement?

A) The balloons will swing apart due to the repulsion force of the excess electrons on

each balloon.

B) The balloons will remain in equilibrium due to attractive force of the excess

protons on each balloon.

C) The balloons will swing together due to the attractive force of the excess electrons

on each balloon

D) The balloons will remain in equilibrium due to the loss of protons from each

balloon

124.

In graph A, two waves are shown at a given instant. What is the number of the curve in

graph B that represents the wave resulting from the superposition of the two waves in A

at this instant?

A) 1

B) 2

C) 3

D) The resultant is zero for all values of x.

E) None of these represent the wave.

125.

The circuit in the figure contains a battery and a resistor in series. Which of the

following statements is not true?

A) The current in the circuit is 2 A.

B) Point α is at a higher potential than point β, and Vαβ = 5 V.

C) The battery is supplying energy to the circuit at the rate of 6 W.

D) The rate of heating in the external resistor is 10 W.

E) The battery is being discharged.

126. Which of these five terms is most unlike the others?

A) electromotive force

B) voltage

C) potential difference

D) current

E) electric potential

127.

In the circuit element shown, the current through the 6-Ω resistor is approximately

A) 1.0 A

B) 2.0 A

C) 0.40 A

D) 0.67 A

E) 1.3 A

128.

In this circuit, the current through the 5-Ω resistor is approximately

A) 4 A

B) 20 A

C) 10 A

D) 40 A

E) 8 A

129.

The current through the battery in the figure is approximately

A) 10 A

B) 13 A

C) 0.67 A

D) 6.0 A

E) None of these is correct.

130.

The current in the circuit shown is

A) 1.0 A

B) 0.65 A

C) 0.44 A

D) 0.22 A


131.

The power dissipated in the 21-Ω resistor in this circuit is

A) 14 W

B) 68 W

C) 43 W

D) 13 W


132. Calculate the total resistance of the entire circuit.

A) 50 ΩB) 100 ΩC) 25 ΩD) 5 Ω

133. Calculate the current through the 50 Ω resistor.

A) 0.1 A

B) 0.4 A

C) 1 A

D) 4 A

134. Calculate the power dissipated by the 50 Ω resistor

A) 5 W

B) 200 W

C) 50 W

D) 20 W

135. The circuit is now modified so that the two 50 Ω resistors are wired in parallel to each

other. Calculate the current through the battery.

A) 0.2 A

B) 125 A

C) 0.1 A

D) 0.4 A

Answer Key

1. D

2. D

3. E

4. E

5. B

6. D

7. C

8. D

9. C

10. D

11. C

12. A

13. A

14. E

15. D

16. C

17. D

18. D

19. E

20. D

21. B

22. E

23. C

24. B

25. (No Answer Provided)

26. A

27. C

28. C

29. A

30. D

31. D

32. D

33. C

34. A

35. A

36. B

37. D

38. C

39. B

40. B

41. A

42. D

43. B

44. A


46. B

47. C

48. A

49. C

50. B

51. A

52. A

53. A

54. C

55. C

56. C

57. C

58. D

59. A

60. A

61. C

62. B

63. D

64. A

65. A

66. A

67. B

68. D

69. A

70. D

71. A

72. B

73. C

74. A

75. B

76. A

77. B

78. C

79. A

80. B

81. A

82. C


84. A

85. A

86. B

87. A

88. D

89. A

90. A

91. A

92. A

93. B

94. B


96. B

97. C

98. A

99. C

100. A

101. C

102. A

103. B

104. B

105. D

106. A

107. D

108. A

109. C

110. C

111. B

112. D

113. B

114. A

115. A

116. B

117. D

118. A

119. A

120. A

121. B

122. B

123. A

124. C

125. C

126. D

127. D

128. C

129. D

130. C

131. E

132. B

133. A

134. A

135. D

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