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Work, Power and Energy — NEET UG Physics PYQs

307 previous year questions from Work, Power and Energy with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

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1

A particle of mass M moves along a horizontal x axis from x=0 to x=L . The coefficient of kinetic friction varies as a function of x as _k(x)= ₀- x , where ₀ , are constants of app

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2

The power of a crane, which lifts a mass of 1000 kg to a height of 20 m in 10 s is : ( g = 9.8 m/s ^2 )

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3

A bob of heavy mass m is suspended by a light string of length l . The bob is given a horizontal velocity v ₀ as shown in figure. If the string gets slack at some point P making an

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4

The kinetic energies of two similar cars A and B are 100 J and 225 J respectively. On applying breaks, car A stops after 1000 m and car B stops after 1500 m . If F _ A and F _ B ar

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5

An object moving along horizontal x -direction with kinetic energy 10 J is displaced through x=(3 i ) m by the force F =(-2 i +3 j ) N . The kinetic energy of the object at the end

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6

An object falls from a height of 10 m above the ground. After striking the ground it loses 50 % of its kinetic energy. The height upto which the object can rebounce from the ground

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7

At any instant of time t , the displacement of any particle is given by 2 t-1 (SI unit) under the influence of force of 5 N . The value of instantaneous power is (in SI unit):

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8

A particle moves with a velocity (5 i -3 j +6 k ) ms ⁻¹ horizontally under the action of constant force (10 i +10 j +20 k ) N . The instantaneous power supplied to the particle is:

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9

The potential energy of a long spring when stretched by 2   cm is U . If the spring is stretched by 8   cm , potential energy stored in it will be:

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10

An electric lift with a maximum load of 2000   kg (lift + passengers) is moving up with a constant speed of 1 . 5   m   s - 1 . The frictional force opposing the mot

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11

The energy that will be ideally radiated by a 100   kW transmitter in 1 hour is

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12

A gravitational field is present in a region and a mass is shifted from A to B through different paths as shown. If W₁, W₂ and W₃ represent the work done by the gravitational force

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13

A particle is released from height S from the surface of the Earth. At a certain height its kinetic energy is three times its potential energy. The height from the surface of the e

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14

Water falls from a height of 60   m at the rate of 15   kg   s - 1 to operate a turbine. The losses due to frictional force are 10 % of the input energy. How much po

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15

The energy required to break one bond in DNA is 10 – 20   J . This value in eV is nearly

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16

If potential energy is given by U= a r^2 - b r . Then find out maximum force. (Given a=2 , b=4)

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17

Assertion : The centre of mass of an electron and proton, when released moves faster towards proton. Reason : This is because proton is heavier.

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18

Initially spring is in natural length and both the blocks are in rest condition. Then determine the maximum extension in the spring. K=20 ~N ~m ⁻¹

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19

Initially spring is in its natural length. Now block of mass 0.25 ~kg is released, then find out maximum force by system on the floor.

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20

A body of mass 10^3 ~kg moving with speed 2 ~m ~s ⁻¹ collides with a body of mass 15 10^3 ~kg inelastically and sticks to it. Then loss in KE of the system will be

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21

Assertion: The kinetic energy does not change when a particle is moving in a uniform magnetic field. Reason : The velocity of the particle is not affected by magnetic field.

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22

A block of mass 2 ~kg F(t) is free to move along the x -axis. It is at rest and from t=0 onwards it is subjected to a timedependent force F(t) in the x direction. The force F(t) va

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23

A particle of mass 7 kg is executing circular motion with time period of 11 sec . Find out centripetal force, if radius of circle is 10 m .

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24

A particle is moving with 10 ~m / s in a circle of radius 5 m , find out magnitude of average velocity if particle moved by 60^ in 1 sec.

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25

A man applying force of 20 N on an object at an angle of 60^ from the horizontal. If object moved by 20 m in horizontal direction, then work done by the force on the object is

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26

An object of mass 500 ~g , initially at rest acted upon by a variable force whose X component varies with X in the manner shown. The velocities of the object a point X=8 ~m and X=1

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27

A force F = 20 + 10 y acts on a particle in y -direction where F is in Newton and y is in meter. Work done by this force to move the particle from y = 0 to y = 1   m is

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28

With what minimum speed v must a small ball should be pushed inside a smooth vertical tube from a height h , so that it may reach the top of the tube? Radius of the tube is R . (As

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29

A machine gun fires 360 bullets per minute, with a velocity of 600 ~ms ⁻¹ . If the power of the gun is 5.4 kW , then mass of each bullet is

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30

Kinetic energy of a particle is increased by 4 times. What will be the relation between initial and final momentum?

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31

1000 N force is required to lift a hook and 10000 N force is requires to lift a load slowly. Find power required to lift hook with load with speed v =0.5 ~m / s

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32

A body initially at rest and sliding along a frictionless track from a height h (as shown in the figure) just completes a vertical circle of diameter A B = D . The height h is equa

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33

Assertion : Work done in moving a body over a closed loop is zero for every force in nature. Reason : Work done does not depend on nature of force.

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34

A particle of mass m is executing oscillation about the origin on X -axis. Its potential energy is V(x)=K|x|^3 . Where K is a positive constant. If the amplitude of oscillation is

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35

A uniform rod of length l is free to rotate in a vertical plane about a fixed horizontal axis through B . The rod begins rotating from rest from its unstable equilibrium position.

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36

Two 20 g flatworms climb over a very thin wall, 10 cm high. One of the worm is 20 cm long, the other is wider and only 10 cm long. Which of the following statement is correct regar

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37

One end of string of length l is connected to a particle of mass m and the other end is connected to a small peg on a smooth horizontal table. If the particle moves in circle with

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38

Consider a drop of rain water having mass 1   g falling from a height of 1   km . It hits the ground with a speed of 50   m   s - 1 . Take g constant with a val

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39

Two wires are stretched through same distance. The force constant of second wire is half as that of the first wire. The ratio of work done to stretch first wire and second wire wil

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40

Work is being performed, when a weight lifter lifts a base ball off a weight rack. This is due to

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41

A particle moves from a point - 2 i ^ + 5 j ^ to 4 j ^ + 3 k ^ when a force of 4 i ^ + 3 j ^ N is applied. How much work has been done by the force?

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42

A body of mass 1   kg begins to move from rest under the action of a time dependent force F → = 2 t   i ^ + 3 t 2   j ^ N , where i ^ and j ^ are unit vectors

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43

A body is moved in straight line by machine with constant power. The distance travelled by it in time duration t is proportional to

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44

Three bodies, a ring, a solid cylinder and a solid sphere roll down the same inclined plane without slipping. They start from rest. The radii of the bodies are identical. Which of

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45

A particle slides on surface of a fixed smooth sphere starting from topmost point. The angle rotated by the radius through the particle, when it leaves contact with the sphere, is

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46

Two blocks of masses m₁ and m₂ are connected by a spring of spring constant k . The block of mass m₂ is given a sharp empulse so that it acquires a velocity v₀ towards right. Find

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47

A ball is thrown vertically downwards from a height of 20 m with an initial velocity v 0 . It collides with the ground, loses 50 percent of its energy in collision and rebounds to

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48

Two similar springs P and Q have spring constants K P and K Q , such that K P > K Q . They are stretched, first by the same amount (case a), then by the same force (case b). th

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49

A particle of mass m is driven by a machine that delivers a constant power k watts. If the particle starts from rest the force on the particle at time t is:

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50

A block of mass 10   kg , moving in x direction with a constant speed of 10   m  s - 1 , is subjected to a retarding force F = ( 0 .1 ) x   J   m - 1 duri

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51

A spring of spring constant 5 10^3 ~N ~m ⁻¹ is stretched initially by 5 ~cm from the unstretched position. The work required to stretch it further by another 5 ~cm is

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52

A body of mass 2 ~kg is thrown up vertically with kinetic energy of 490 ~J . The height at which the kinetic energy of the body becomes half of its original value is

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53

A ball is released from certain height which losses 50 % of its kinetic energy on striking the ground, it will attain a height again

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54

If we increase kinetic energy of a body 300 % , then per cent increase in its momentum is

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55

A engine pumps up 100 kg of water through a height of 10 m in 5 s . Given that, the efficiency of engine is 60 % . If g=10 ~ms ⁻² , the power of this engine is

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56

A particle of mass 100 g is thrown vertically upward with a speed of 5 ~m / s . The work done by the force of gravity during the time the particle goes up is

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57

Assertion : Total energy is negative for a bound system. Reason : Potential energy of a bound system is negative and more than kinetic energy.

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58

A gas expands 0.25 ~m ^3 at constant pressure 10^3 ~N / m ^2 , the work done is

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59

A particle with total energy E is moving in a potential energy region U(x) . Motion of the particle is restricted to the region when:

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60

One coolie takes 1 minute to raise a suitcase through a height of 2 ~m but the second coolie takes 30 ~s to raise the same suitcase to the same height. The power two coolies are in

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61

A uniform force of (3 i + j ) N acts on a particle of mass 2 ~kg . Hence the particle is displaced from position (2 i + k ) m to position (4 i +3 j - k ) m . The work done by the f

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62

A particle is thrown vertically upwards with velocity 11.2 ~km ~s ⁻¹ from the surface of earth. Calculate its velocity at height 3 R . Where R is the radius of earth.

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63

The work done by a force acting on a body is as shown in the graph. The total work done in covering an initial distance of 20 m is

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64

The potential energy of a body is given by U=A-B x^2 (where x is the displacement). The magnitude of force acting on the particle is

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65

The potential energy of a particle in a force field is U= A r^2 - B r , where A and B are positive constants and r is the distance of particle from the centre of the field. For sta

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66

A car of mass m starts from rest and accelerates so that the instantaneous power delivered to the car has a constant magnitude P₀ . The instantaneous velocity of this car is propor

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67

Assertion: Total energy is conserved in moving a satellite to higher orbit. Reason : Sum of change in PE and KE is same in magnitude and opposite in nature.

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68

A ball of mass 2 kg moving with velocity 3 ~m / s , collides with spring of natural length 2 m and force constant 144 ~N / m . What will be length of compressed spring?

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69

The potential energy of a system increase if work is done

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70

Force F on a particle moving in a straight line varies with distance d as shown in the figure. The work done on the particle during its displacement of 12 ~m is

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71

Which one of the following is present as an active ingredient in bleaching powder for bleaching action?

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72

A block of mass 10 ~kg is moving in x -direction with a constant speed of 10 ~m / s . It is subjected to a retarding force F=0.1 x joule/metre during its travel from x=20 ~m to x=3

AIIMS 2010 Solution
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73

Assertion : If momentum of a body increases by 50 % , its kinetic energy will increase by 125 % . Reason : Kinetic energy is proportional to square of velocity.

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74

An alpha nucleus of energy 1 2 mv ^2 bombards a heavy nuclear target of charge Z e . Then the distance of closest approach for the alpha nucleus will be proportional to

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75

A particle of mass M starting from rest undergoes uniform acceleration. If the speed acquired in time T is v , the power delivered to the particle is

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76

A body is moved along a straight line by a machine delivering constant power. The distance travelled by the body in time t is proportional to

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77

A force F acting on an object varies with distance x as shown in the figure. The force is in N and x in m . The work done by the force in moving the object from x=0 to x=6 ~m is

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78

A particle of mass 100 g is thrown vertically upwards with a speed of 5 ~m / s . The work done by the force of gravity during the time the particle goes up is

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79

A mass of M ~kg is suspended by a weightless string. The horizontal force that is required to displace it until the string makes an angle of 45^ with the initial vertical direction

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80

An alpha nucleus of energy 1 2 m v^2 bombards a heavy nuclear target of charge Z e . Then the distance of closest approach for the alpha nucleus will be proportional to

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81

A block of mass M is attached to the lower end of a vertical spring. The spring is hung from a ceiling and has force constant value k . The mass is released from rest with the spri

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82

A body of mass 1 ~kg is thrown upwards with a velocity 20 ~ms ⁻¹ . It momentarily comes to rest after attaining a height of 18 ~m . How much energy is lost due to air friction ? (

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83

A block of mass M is attached to the lower end of a vertical spring. The spring is hung from a ceiling and has force constant value k . The mass is released from rest with the spri

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84

A body of mass 1 ~kg of thrown upwards with a velocity 20 ~m / s . It momenetarily comes to rest after attaining a height of 18 ~m . How much energy is lost due to air friction ? (

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85

A bullet is fired from a rifle and the rifle recoils. Kinetic energy of rifle is

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86

Figure shows the variation of energy with the orbit radius (r ) of a satellite in a circular motion. Mark the correct statement.

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87

The area of the acceleration-displacement curve of a body gives

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88

300 J of work is done in sliding a 2 kg block up an inclined plane of height 10 m . Taking g=10 ~m / s ^2 , work done against friction is

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89

Water falls from a height of 60 ~m at the rate of 15 ~kg / s to operate a turbine. The losses due to frictional forces are 10 % of energy. How much power is generated by the turbin

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90

A roller coaster is designed such that riders experience "weightlessness" as they go round the top of a hill whose radius of curvature is 20 ~m . The speed of the car at the top of

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91

Water falls from a height of 60 ~m at the rate of 15 ~kg / s to operate a turbine. The losses due to frictional forces are 10 % of energy. How much power is generated by the turbin

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92

A roller coaster is designed such that riders experience "weightlessness" as they go round the top of a hill whose radius of curvature is 20 ~m . The speed of the car at the top of

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93

The force of gravitation is

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94

A force F acting on an object varies with distance x as shown here. The force is in newton and distance is in metre. The work done by the force in moving the object from x=0 to x=6

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95

A vertical spring with force constant k is fixed on a table. A ball of mass m at a height h above the free upper end of the spring falls vertically on the spring so that the spring

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96

A body of mass 3 ~kg is under a constant force which causes a displacement s in metres in it, given by the relation s= 1 3 t^2 , where t is in seconds. Work done by the force in 2

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97

300 ~J of work is done in sliding a 2 ~kg block up an inclined plane of height 10 m . Taking g=10 ~m / s ^2 , work done against friction is:

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98

The potential energy of a long spring when stretched by 2 ~cm is U . If the spring is stretched by 8 ~cm the potential energy stored in it is:

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99

Assertion : Frictional forces are conservative forces. Reason : Potential energy can be associated with frictional forces.

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100

A block of mass 10 ~kg is moving in x -direction with a constant speed of 10 ~m / sec . It is subjected to a retarding force F=-0.1 x joule/m eter during its travel from x=20 meter

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101

A force F acting on an object varies with distance x as shown here. The force is in N and x in m . The work done by the force in moving the object x=0 to x=6 ~m is:

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102

A particle moves from position r ₁=3 i +2 j -6 k to position r ₂=14 i +13 j +9 k under action of force F =4 i + j +3 k N . The work done will be:

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103

The work done in pulling up a block of wood weighing 2 kN for a length of 10 m on a smooth plane inclined at an angle of 15^ with the horizontal is

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104

A ball of mass 2 ~kg and another of mass 4 ~kg are dropped together from a 60 feet tall building. After a fall of 30 feet each towards earth, their respective kinetic energies will

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105

A mass of 0.5 ~kg 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

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106

A stone is tied to a string of length ' l ' and is whirled in a vertical circle with the other end of the string as the centre. At a certain instant of time, the stone is at its lo

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107

When a long spring is stretched by 2 ~cm , its potential energy is U . If the spring is stretched by 10 ~cm , the potential energy stored it will be:

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108

The relationship between the force F and position x of a body is as shown in the figure. The work done in displacing the body from x=1 ~m to x=5 ~m will be

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109

A block of mass 2 ~kg is free to move along the x -axis. It is at rest and from t=0 onwards it is subjected to a time-dependent force F(t) in the x direction. The force F(t) varies

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110

A particle is moved along a path A B - B C - C D - D E - E F - F A , as shown in figure, in presence of a force F → = α y i ^ + 2 α x j ^ N , where x and y are in meter and α = - 1

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111

A tennis ball is dropped on a horizontal smooth surface. It bounces back to its original position after hitting the surface. The force on the ball during the collision is proportio

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112

A particle of mass m moves in a circular orbit under the central potential field, U r = - C r , where C is a positive constant. The correct radius - velocity graph of the particle'

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113

A particle moves in one dimension from rest under the influence of a force that varies with the distance traveled by the particle as shown in the figure. The kinetic energy of the

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114

Given below is the plot of a potential energy function U ( x ) for a system, in which a particle is in one dimensional motion, while a conservative force F ( x ) acts on it. Suppos

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115

The work done by a force acting on a body is as shown in the graph. The total work done in covering an initial distance of 20 ~m is

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116

A potential is given by V ( x ) = k ( x + a ) 2 / 2 for x < 0 and V ( x ) = k ( x - a ) 2 / 2 for x > 0 . The schematic variation of oscillation period T for a particle performing

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117

The velocity-time graph of a particle of mass 10 kg is shown in the figure. The net work done on the particle in the first two seconds of the motion is

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118

A particle is placed at the origin and a force F = kx is acting on it (where k is a positive constant). IF U ( 0 ) = 0 , the graph of U ( x ) versus x will be (where U is the poten

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119

The relationship between the force F and position x of a body is as shown in the figure. The work done in displacing the body from x = 1 m to x = 5 m will be

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120

A body of mass 2.4 ~kg is subjected to a force which varies with distance as shown in figure. The body starts from rest at x=0 . Its velocity at x=9 ~m is

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