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Q 1. The work done by a person in carrying a box of mass 10 kg. through a vertical height of 10 m is 4900 J. The mass of the person is -

[a] 60 kg [b] 50 kg [c] 40 kg [d] 130 kg Q 2. The work done in pushing a block of mass 10 kg from bottom to the top of a frictionless inclined plane 5m

long and 3 m high is (g = 9.8 m/sec2) - [a] 392 J [b] 294 J [c] 98 J [d] 0.98 J Q 3. A body of mass m kg is lifted by a man to a height of one metre in 30 sec. Another man lifts the same

mass to the same height in 60 sec. The work done by them are in the ratio [a] 1: 2 [b] 1 : 1 [c] 2 : 1 [d] 4 : 1 Q 4. A body of mass 10 kg is dropped to the ground from a height of 10 metres. The work done by the

gravitational force is 2(g 9.8m/ sec )=

[a] – 490 Joules [b] + 490 Joules [c] – 980 Joules [d] + 980 Joules Q 5. A ball is released from the top of a tower. The ratio of work done by force of gravity in first, second and

third second of the motion of the ball is [a] 1 : 2 : 3 [b] 1 : 4 : 9 [c] 1 : 3 : 5 [d] 1 : 5 : 3 Q 6. The work done in pulling a body of mass 5 kg along an inclined plane (angle 60º) with coefficient of friction

0.2 through 2m, will be [a] 80.08 J [b] 92.08 J [c] 90.08 J [d] 98.08 J Q 7. A 50kg man with 20kg load on his head climbs up 20 steps of 0.25m height each. The work done in

climbing is [a] 5 J [b] 350 J [c] 100 J [d] 3430 J Q 8. If 1 2W ,W and 3W represent the work done in moving a particle from A to B along three

different paths 1, 2 and 3 respectively (as shown) in the gravitational field of a point mass m, find the correct relation between 1 2W ,W and 3W

[a] 1 2 3W W W> > [b] 1 2 3W W W= =

[c] 1 2 3W W W< < [d] 2 1 3W W W> >

Q 9. 300 J of work is done in sliding slowly a 2 kg block up an inclined plane of height 10 m. Work done against

friction is (Take g = 10 m/s2) [a] 100 J [b] 200 J [c] 100 J [d] zero.

B

1 m

2

3

A

assignment-

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[d] Frictional force Q 2. A 60 kg man runs up a staircase in 12 seconds while a 50 kg man runs up the same staircase in 11,

seconds, the ratio of the rate of doing their work is [a] 6 : 5 [b] 12 : 11 [c] 11 : 10 [d] 10 : 11

Q 3. A force of ˆ ˆ ˆ2i 3 j 4k N+ + acts on a body for 4 second, produces a displacement of ˆ ˆ ˆ(3i 4j 5k)m.+ + The

power used is [a] 9.5 W [b] 7.5 W [c] 6.5 W [d] 4.5 W Q 4. A car of mass 1250 kg is moving at 30m/s. Its engine delivers 30 kW while resistive force due to surface is

750N. What max acceleration can be given to the car.

[a] 21m / s3

[b] 21m / s4

[c] 21m / s5

[d] 21m / s6

Q 5. A pump can lift 9000 kg coal per hour from a mine of depth 120 m. Assuming its efficiency to be 75% its power will be (in watts) -

[a] 3920 W [b] 2020 W [c] 3400 W [d] None of these Q 6. From a waterfall, water is pouring down at the rate of 100kg per second on the blades of turbine. If the

height of the fall is 100m, the power delivered to the turbine is approximately equal to - [a] 100 kW [b] 10 kW [c] 1 kW [d] 100 W Q 7. If a force F is applied on a body and it moves with a velocity v, the power will be

[a] F v× [b] F / v [c] 2F / v [d] 2F v×

Q 8. A particle moves with a velocity !v = 5i −3 j + 6kms−1 under the influence of a constant force

!F =10i +10 j + 20kN. The instantaneous power applied to the particle is

[a] 200 J-s–1 [b] 40 J-s–1 [c] 140 J-s–1 [d] 170 J-s–1 Q 9. A motor boat is travelling with a speed of 3.0 m/sec. If the force on it due to water flow is 500 N, the power

of the boat is [a] 150 kW [b] 15 kW [c] 1.5 kW [d] 150 W Q 10. A man is riding on a cycle with velocity 7.2 km/hr up a hill having a slope 1 in 20. The total mass of the

man and cycle is 100 kg. The power of the man is [a] 200 W [b] 175 W [c] 125 W [d] 98 W Q 11. A truck of mass 30,000kg moves up an inclined plane of slope 1 in 100 at a speed of 30 kmph. The power

of the truck is (given 1g 10ms )−=

[a] 25 kW [b] 10 kW [c] 5 kW [d] 2.5 kW Q 12. An electric motor creates a tension of 4500 newton in a hoisting cable and reels it in at the rate of 2 m/sec.

What is the power of electric motor [a] 15 kW [b] 9 kW [c] 225 W [d] 9000 HP Q 13. What average horsepower is developed by an 80 kg man while climbing in 10 s a flight of stairs that rises 6

m vertically [a] 0.63 HP [b] 1.26 HP [c] 1.8 HP [d] 2.1 HP Q 14. From an automatic gun a man fires 360 bullet per minute with a speed of 360 km/hour. If each weighs 20

g, the power of the gun is

Q 1. Which one of the following is not a conservative force [a] Gravitational force [b] Electrostatic force between two charges [c] elastic spring force

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[a] 600W [b] 300W [c] 150W [d] 75W Q 15. A car of mass ‘m’ is driven with acceleration ‘a’ along a straight level road against a constant external

resistive force ‘R’. When the velocity of the car is ‘V’, the rate at which the engine of the car is doing work will be [a] RV [b] maV [c] (R ma)V+ [d] none

Q 16. A force applied by an engine of a train of mass 62.05 10 kg× changes its velocity from 5 m/s to 25 m/s in 5

minutes. The power of the engine is

[a] 1.025 MW [b] 2.05 MW [c] 5MW [d] 5 MW Q 17. Two men with weights in the ratio 5 : 3 run up a staircase in times in the ratio 11 : 9. The ratio of power of

first to that of second is [a] 11/15 [b] 11/15 [c] 11/9 [d] 9/11 Q 18. A body is moved along a straight line by a machine delivering a constant power. The distance moved by

the body in time t is proportional to [a] t3/4 [b] t3/2 [c] t1/4 [d] t1/2 Q 19. A body of mass m accelerates uniformly from rest to 1v in time 1t . As a function of time t, the

instantaneous power delivered to the body is

[a] 1

1

mv tt

[b] 21

1

mv tt

[c] 2

1

1

mv tt

[d] 2121

mv tt

Q 20. Water falls from a height of 60 m at the rate of 15 kg/s to operate a turbine. The lossess due to frictional forces are 10% of energy. How much power is generated by the turbine? (g = 10m/s2)

[a] 8.1 kW [b] 10.2 kW [c] 12.3 kW [d] 7.0 kW Q 21. An engine pumps water continuously through a hose. Water leaves the hose the with a velocity v and m is

mass per unit length of the water jet. What is the rate at which K.E. is imparted to water?

[a] 2 21m v2

[b] 31mv2

[c] mv3 [d] 21mv2

Q 22. A pump motor is used to deliver water at a certain rate from a given pipe. To obtain twice as much water from the same pipe in the same time, power of the motor has to be increased to

[a] 16 times [b] 4 times [c] 8 times [d] 2 times

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Q 1. The kinetic energy of a body of mass 2 kg and momentum of 2 Ns is [a] 1 J [b] 2 J [c] 3 J [d] 4 J Q 2. If the linear momentum is increased by 50%, the kinetic energy will increase by [a] 50% [b] 100% [c] 125% [d] 25%

Q 3. The graph between E and 1/p is (E =kinetic energy and p = momentum)

[a] [b] [c] [d] Q 4. If a man increase his speed by 2 m/s , his K.E. is doubled, the original speed of the man is

[a] (1 2 2)m/ s+ [b] 4 m/s [c] (2 2 2)m/ s+ [d] (2 2)m/s+

Q 5. A running man has half the kinetic energy that a boy of half his mass has. The man speeds up by 1.0 meter/sec and then has the same kinetic energy as the body. What were the original speeds of man and boy-

[a] 2.4 m/sec, 4.8 m/sec [b] 4.8 m/sec, 2.4 m/sec [c]4.2 m/sec, 8.4 m/sec [d] 8.4 m/sec, 4.2 m/sec Q 6. Two bodies of mass 1kg and 4kg are moving with equal kinetic energies. The ratio of their linear momentum is - [a] 1 : 2 [b] 2 : 1 [c] 4 : 1 [d] 1 : 4 Q 7. Two bodies of masses 2m and m have their K.E. in the ratio 8 : 1, then their ratio of momenta is [a] 1 : 1 [b] 2 : 1 [c] 4 : 1 [d] 8 : 1 Q 8. If the K.E. of a body is increased by 300%, its momentum will increase by

[a] 100% [b] 150% [c] 300% [d] 175%

Q 9. There will be an increase in potential energy of the system if work is done upon the system by - [a] any conservation or non-conservation forces [b] a non-conservation force [c] a conservation force [d] none of these Q 10. Once a choice is made regarding zero potential energy reference state, the changes in potential energy [a] Are same [b] Are different [c] Depend strictly on the choice of the zero of potential energy [d] Become indeterminate Q 11. The potential energy of a particle varies with distance x as shown in the graph. The force acting on the particle is zero at [a] C [b] B [c] B and C [d] A and D Q 12. A uniform rod of length 4m and mass 20kg is lying horizontal on the ground. The work done in keeping it vertical with

one of its ends touching the ground, will be - . [a] 392 J [b] 300 J [c] 350 J [d] None Q 13. A meter scale of mass m initially vertical is dispalced at 45º keeping the upper and fixed, the change in PE will be-

[a] Mg 112 2⎛ ⎞−⎜ ⎟

⎝ ⎠ [b] Mg 11

2 2⎛ ⎞+⎜ ⎟

⎝ ⎠ [c] 12Mg 1

2⎛ ⎞−⎜ ⎟

⎝ ⎠ [d] None of these

Q 14. The potential energy of a system is represented in the first figure. The force acting on the system will be represented by

√E

1/p

√E

1/p

√E

1/p

√E

1/p

a O x

U(x)

C

D

B

A

x

U(x)

Assignment

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[a] [b] [c] [d] Q 15. The potential energy of a body is given by, U = 2A Bx− (Where x is the displacement). The magnitude of

force acting on the particle is [a] Constant [b] Proportional to x

[c] Proportional to 2x [d] Inversely proportional to x Q 16. Potential energy function U(r) corresponding to the central force F = K/r2 would be [a] K/r [b] 2K/r [c] r/K [d] None of these Q 17. A particle moves in a potential region given by 2U 8x 4x 400= − + J. Its state of equilibrium will be

[a] x 25m= [b] x 0.25m= [c] x 0.025m= [d] x 2.5m=

Q 18. Two springs have their force constant as 1k and 2 1 2k (k k )> . When they are stretched by the same force

[a] No work is done in case of both the springs [b] Equal work is done in case of both the springs [c] More work is done in case of second spring [d] More work is done in case of first spring Q 19. Two springs of spring constants 1500 N/m and 3000 N/m respectively are stretched with the same force.

They will have potential energy in the ratio [a] 4 : 1 [b] 1 : 4 [c] 2 : 1 [d] 1 : 2 Q 20. A spring 40 mm long is stretched by the application of a force. If 10 N force required to stretch the spring

through 1 mm, then work done in stretching the spring through 40 mm is [a] 84 J [b] 68 J [c] 23 J [d] 8 J Q 21. When a spring is stretched by 2 cm, it stores 100 J of energy. If it is stretched further by 2 cm, the stored

energy will be increased by [a] 100 J [b] 200 J [c] 300 J [d] 400 J Q 22. A body is falling under gravity. When it loses a gravitational potential energy by U, its speed is v. The mass

of the body shall be

[a] 2Uv

[b] U2v

[c] 2

2Uv

[d] 2

U2v

Q 23. A rod of mass m and length l is lying on a horizontal table. The work done in making it stand on one end will be

[a] mgl [b] mgl2

[c] mgl4

[d] 2mgl

Q 24. A metre stick, of mass 400 g, is pivoted at one end displaced through an angle o60 . The increase in its potential energy is [a] 1 J [b] 10 J [c] 100 J [d] 1000 J Q 25. A spring with spring constant k when stretched through 1 cm, the potential energy is U. If it is stretched by

4 cm. The potential energy will be [a] 4U [b] 8U [c] 16 U [d] 2U

a x

F(x)

a x

F(x)

a x

F(x)

a x

F(x)

60o

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Q 1. A mass of 0.5kg moving with a speed of 1.5 m/s on a horizontal smooth surface, collides with a nearly weightless spring of force constant k 50 N/m= . The maximum compression of the spring would be

[a] 0.15 m [b] 0.12 m [c] 1.5 m [d] 0.5 m Q 2. A boy is sitting on a swing at a maximum height of 5m above the ground. When the swing passes through

the mean position which is 2m above the ground its velocity is approximately

[a] 7.6 m/s [b] 9.8 m/s [c] 6.26 m/s [d] None of these Q 3. A block of mass 2kg is released from A on the track that is one quadrant of a circle of radius 1m. It slides down the track and reaches B with a speed of 14ms−

and finally stops at C at a distance of 3m from B. The work done against the force of friction is

[a] 10 J [b] 20 J [c] 2 J [d] 6 J Q 4. A uniform chain of mass M and length L is lying on a frictionless table in such a way that its 1/3 part is

hanging vertically down. The work done in pulling the chain up the table is

[a] MgL20

[b] MgL18

[c] 2MgL [d] None of these

Q 5. A body falls on the surface of the earth from a height of 20 cm. If after colliding with the earth, its

mechanical energy is lost by 75%, then body would reach upto a height of [a] 1 cm [b] 5 cm [c] 15 cm [d] 20 cm Q 6. A chain of linear density 3 kg/m and length 8m is lying on the table with 4 m of chain hanging from the

edge. The work done in lifting the chain on the table will be - [a] 117.6 J [b] 235.2 J [c] 98 J [d] 196 J Q 7. A uniform chain of length 2m is held on a smooth horizontal table so that half of it hangs over the edge. If it

is released from rest, the velocity with which it leaves the table will be nearest to [a] 2 m/s [b] 4 m/s [c] 6 m/s [d] 8 m/s Q 8. A machine which is 75 percent efficient, uses 12 joules of energy in lifting up a 1 kg mass through a certain

distance. The mass is then allowed to fall through that distance. The velocity at the end of its fall is (in 1ms )−

[a] 24 [b] 32 [c] 18 [d] 9

Q 9. A 0.5 kg ball is thrown up with an initial speed 14 m/s and reaches a maximum height of 8.0m. How much energy is dissipated by air drag acting on the ball during the ascent

[a] 19.6Joule [b] 4.9Joule [c] 10Joule [d] 9.8Joule

Q 10. A body of mass 2 kg is thrown up vertically with K.E. of 490 joules. If the acceleration due to gravity is 9.8 2m / s , then the height at which the K.E. of the body becomes half its original value is given by

[a] 50 m [b] 12.5 m [c] 25 m [d] 10 m Q 11. The force constant of a weightless spring is 16 N/m. A body of mass 1.0 kg suspended from it is pulled

down through 5 cm & then released. The maximum kinetic energy of the system (spring + body) will be [a] 22 10 J−× [b] 24 10 J−× [c] 28 10 J−× [d] 216 10 J−×

Q 12. A ball is released from certain height. It loses 50% of its kinetic energy on striking the ground. It will attain a height again equal to

2kg 1m

B

A

C

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[a] One fourth the initial height [b] Half the initial height [c] Three fourth initial height [d] None of these Q 13. A chain is placed on a frictionless table with one fourth of it hanging over the edge. If the length of the chain is 2m and its mass is 4kg, the energy need to be spent to pull it back to the table is [a] 32 J [b] 16 J [c] 10 J [d] 2.5 J Q 14. If a body of mass 200 g falls from a height 200 m and its total P.E. is converted into K.E. at the point of

contact of the body with earth surface, then what is the decrease in P.E. of the body at the contact 2(g 10m/ s )=

[a] 200 J [b] 400 J [c] 600 J [d] 900 J

Q 15. A body of mass 2 kg is projected vertically upwards with a velocity of 12msec− . The K.E. of the body just

before striking the ground is [a] 2 J [b] 1 J [c] 4 J [d] 8 J Q 16. A 2kg block is dropped from a height of 0.4 m on a spring of force constant 1K 1960Nm−= . The maximum

compression of the spring is [a] 0.1 m [b] 0.2 m [c] 0.3 m [d] 0.4 m Q 17. A uniform chain of length L and mass M is lying on a smooth table and one third of its length is hanging

vertically down over the edge of the table. If g is acceleration due to gravity, the work required to pull the hanging part on to the table is

[a] MgL [b] MgL/3 [c] MgL/9 [d] MgL/18 Q 18. A uniform chain of length 2m is kept on a table such that a length of 60cm hangs freely from the edge of the table. The total mass of the chain is 4kg. What is the work done in pulling the entire chain on the table [a] 7.2 J [b] 3.6 J [c] 120 J [d] 1200 J Q 19. A spherical ball of mass 20 kg is stationary at the top of a hill of height 100 m. It slides down a smooth

surface to the ground, then climbs up another hill of height 30 m and finally slides down to a horizontal base at a height of 20 m above the ground. The velocity attained by the ball is

[a] 10 m/s [b] 10 30m/s [c] 40 m/s [d] 20 m/s

Q 20. A man throws the bricks to the height of 12 m where they reach with a speed of 12 m/sec. If he throws the bricks such that they just reach this height, what percentage of energy will he save

[a] 30 % [b] 35 % [c] 38% [d] 40 % Q 21. A body of mass 0.1 kg moving with a velocity of 10 m/s hits a spring (fixed at the other end) of force

constant 1000 N/m and comes to rest after compressing the spring. The compression of the spring is [a] 0.01m [b] 0.1m [c] 0.2m [d] 0.5m

L/n

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