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Work and Energy — JEE Main & Advanced Physics PYQs

119 previous year questions from Work 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 block of mass 2.00 kg travelling at a speed of 10.0 m/s accelerates at 3.00 m/s ^2 for 5.00 s . Determine its final kinetic energy.

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2

A box is pushed a distance of 4.0 m across a floor which offers a resistance of 100 N . What is the work done by the resisting force?

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3

The combined mass of a cyclist and the bike is 90 kg . Determine the increase in kinetic energy when the speed increases from 6.0 km/h to 12 km/h .

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4

A block of mass 5.0 kg slides down an incline having an inclination of 30^ and a length of 10 m . Determine the work done by the force of gravity.

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5

A stationary particle of mass 15 g is accelerated by a constant force of 2.50 N over a displacement of 2.50 m . Determine the work done and the average power delivered.

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6

A particle travels from a position r ₁ = (2 m ) i + (3 m ) j to a new position r ₂ = (3 m ) i + (2 m ) j while experiencing a force F = (5 N ) i + (5 N ) j . Determine the work don

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7

A man travels along a straight horizontal road carrying a block of mass 2 kg in his hand. If he covers a distance of 40 m with an acceleration of 0.5 m/s ^2 , determine the work do

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8

A particle is acted upon by a force F = a + bx in the x -direction, where a and b are constants. Determine the work done by this force during a displacement from x = 0 to x = d .

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9

A block of mass 250 g slides down an incline of inclination 37^ at a uniform speed. Determine the work done against friction as the block covers a distance of 1.0 m .

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10

A block of mass m is positioned on another block of mass M , and the two-block system rests on a horizontal surface. When a constant horizontal force F is applied to the lower bloc

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11

A block of mass m is placed upon another block of mass M , and the system rests on a horizontal surface as depicted in the figure. A constant horizontal force F exerted on the lowe

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12

A block of mass m sits on top of another block of mass M , and the entire system rests on a horizontal surface. A constant horizontal force F acting on the lower block results in a

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13

A box weighing 2000 N is to be slowly slid a distance of 20 m along a straight track. The coefficient of friction between the box and the track is 0.2 . Determine the work done by

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14

A box weighing 2000 N is to be slowly slid a distance of 20 m along a straight track. The coefficient of friction between the box and the track is 0.2 . A person pulls the box usin

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15

A person slowly slides a block of weight 100 N up a smooth incline of inclination 37^ . If the driving force is applied parallel to the incline, determine the work done by the pers

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16

A person slowly slides a block of weight 100 N up a smooth incline of inclination 37^ . If the driving force is applied in the horizontal direction, determine the work done by the

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17

Determine the average frictional force required to bring a car weighing 500 kg to a halt over a distance of 25 m , given that its initial speed is 72 km/h .

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18

Determine the average force required to accelerate a 500 kg car from rest to 72 km/h over a distance of 25 m .

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19

A particle of mass m travels on a straight line, with its velocity varying with the distance travelled according to the equation v = a x , where a is a constant. Determine the tota

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20

A block of mass 2.0 kg initially at rest on an inclined plane of inclination 37^ is pulled up the plane by a constant force of 20 N applied parallel to the incline. The force acts

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21

A block of mass 2.0 kg initially at rest on an inclined plane of inclination 37^ is pulled up the plane by a constant force of 20 N applied parallel to the incline. The force acts

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22

A block of mass 2.0 kg initially at rest on an inclined plane of inclination 37^ is pulled up the plane by a constant force of 20 N applied parallel to the incline. The force acts

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23

A block of mass 2.0 kg is pushed down an inclined plane of inclination 37^ by a 20 N force acting parallel to the incline. It is observed that the block travels on the incline with

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24

A block of mass 2.0 kg is pushed down an inclined plane of inclination 37^ by a 20 N force acting parallel to the incline. It is observed that the block travels on the incline with

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25

A block of mass 2.0 kg is pushed down an inclined plane of inclination 37^ by a 20 N force acting parallel to the incline. It is observed that the block travels on the incline with

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26

A 250 g block slides on a rough horizontal table. Determine the work done by the frictional force in bringing the block to rest if it is initially travelling at a speed of 40 cm/s

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27

Water descending from a 50 m high fall is utilized to generate electric energy. If 1.8 10^5 kg of water falls per hour and half of the gravitational potential energy can be convert

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28

While painting the walls of his house, a person stands on a ladder holding a bucket containing paint in one hand and a brush in the other. Suddenly, the bucket slips from his grasp

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29

A projectile is launched from the top of a 40 m high cliff with an initial speed of 50 m/s at an unspecified angle. Determine its speed upon striking the ground.

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30

The 200 m free style women's swimming gold medal at the Asian Games went to Priya of India when she established a new record of 1 minute and 57.56 seconds. Assuming she completed t

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31

The athlete Emily Davis won the 100 m sprint gold medal at London Olympic 2012 setting a new Olympic record of 10.54 s . Assume that she achieved her maximum speed in a very short

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32

The athlete Emily Davis won the 100 m sprint gold medal at London Olympic 2012 setting a new Olympic record of 10.54 s . Assume that she achieved her maximum speed in a very short

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33

The athlete Emily Davis won the 100 m sprint gold medal at London Olympic 2012 setting a new Olympic record of 10.54 s . Assume that she achieved her maximum speed in a very short

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34

A water pump extracts water from a depth 10 m below the ground. The water is pumped up at a rate of 30 kg/minute with negligible velocity. Determine the minimum horsepower the engi

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35

An agitated protester lifts a stone of mass 200 g from the ground and throws it at an opponent. At the instant of projection, the stone is 150 cm above the ground and possesses a s

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36

A factory requires an engine to lift 2000 kg of metal through a distance of 12 m in 1 minute. Determine the minimum horsepower of the engine needed for this task.

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37

A scooter company provides the following specifications for its product: Weight of the scooter — 95 kg Maximum speed — 60 km/h Maximum engine power — 3.5 hp Pick up time to reach t

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38

A block of mass 30.0 kg is lowered by a chain. Determine the work done by the chain if the block acquires a speed of 40.0 cm/s after dropping down a distance of 2.00 m . (Take g =

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39

In an Atwood machine, the heavier block has a mass twice that of the lighter block. When the system is released from rest, the tension in the string is 16.0 N . Determine the decre

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40

An Atwood machine has two blocks of masses 2.0 kg and 3.0 kg . Determine the work done by gravity during the fourth second after releasing the system from rest.

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41

Observe the setup illustrated in the figure. The system is released from rest, and the block of mass 1.0 kg is observed to possess a speed of 0.3 m/s after it has descended through

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42

In a vertical plane, a closed circular tube of radius 10 cm contains a block of mass 100 g that just fits inside its cross-section. The block is propelled with a speed of 5.0 m/s a

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43

A car weighing 1400 kg is travelling up a hill at a speed of 54 km/h when its motor stops. If it is just able to reach the destination which is at a height of 10 m above the point,

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44

A small block of mass 200 g is situated at the top of a frictionless incline which is 10 m long and 3.2 m high. Determine the work required to lift the block from the ground and pl

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45

A small block of mass 200 g is situated at the top of a frictionless incline which is 10 m long and 3.2 m high. Calculate the work required to slide the block up the incline. Take

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46

A small block of mass 200 g is situated at the top of a frictionless incline which is 10 m long and 3.2 m high. Determine the speed of the block when it reaches the ground if it fa

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47

A small block of mass 200 g is situated at the top of a frictionless incline which is 10 m long and 3.2 m high. Calculate the speed of the block when it reaches the ground if it sl

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48

A slide in a park possesses a total length of 10 ext m and a height of 8.0 ext m , as shown in the figure. A vertical ladder is provided to reach the top. A boy weighing 200 ext N

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49

A slide in a park possesses a total length of 10 ext m and a height of 8.0 ext m . A vertical ladder is provided to reach the top. A boy weighing 200 ext N ascends the ladder to th

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50

A slide in a park possesses a total length of 10 ext m and a height of 8.0 ext m . A vertical ladder is provided to reach the top. A boy weighing 200 ext N ascends the ladder to th

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51

As depicted in the figure, a particle slides on a frictionless track that terminates in a straight horizontal section. If the particle begins slipping from point A, determine how f

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52

As shown in the figure, a block weighing 10 N travels down a smooth curved track AB connected to a rough horizontal surface. The coefficient of friction between the block and the r

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53

A uniform chain having length L and mass M overhangs a horizontal table such that two-thirds of its length rests on the table. The friction coefficient between the table and the ch

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54

A uniform chain of mass m and length l overhangs a table with two-thirds of its length resting on the table. Determine the work to be done by a person to put the hanging portion ba

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55

A block of mass 1 kg is positioned at point A on a rough track, as shown in the figure. When given a slight push to the right, it comes to rest at point B on the track. Determine t

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56

A block of mass 5.0 kg is suspended from the end of a vertical spring, which stretches by 10 cm under the load of the block. The block is delivered a sharp impulse from below, acqu

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57

A block of mass 250 g is placed on a vertical spring with a spring constant of 100 N/m that is fixed from below. The spring is compressed so its length is 10 cm less than its natur

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58

As shown in the figure, a spring is fixed at the bottom end of an incline of inclination 37^ . A small block of mass 2 kg begins slipping down the incline from a point 4.8 m away f

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59

A spring is fixed at the bottom end of an incline of inclination 37^ . A small block of mass 2 kg begins slipping down the incline from a point 4.8 m away from the spring. The bloc

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60

A block of mass m travelling at a speed v compresses a spring by a distance x before its speed reduces to half. Determine the spring constant of the spring.

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61

In the arrangement depicted in the figure, the system is released from rest while the spring is initially unstretched. Assuming the pulley is frictionless, determine the maximum el

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62

As shown in the figure, a block of mass m is connected to two unstretched springs having spring constants k₁ and k₂ . The block is displaced towards the right by a distance x and s

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63

As shown in the figure, a block of mass m is sliding with a velocity v across a smooth horizontal surface when it encounters a long horizontal spring. The spring has a spring const

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64

A small block of mass 100 g is pushed against a horizontal spring fixed at one end, compressing the spring by 5.0 cm as shown in the figure. The spring constant is 100 N/m . Upon r

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65

Consider a light rod of length l with its upper end clamped such that it is free to rotate. A small heavy block is attached to its lower end. What is the minimum horizontal velocit

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66

As shown in the figure, two blocks A and B , each having a mass of 320 g , are connected by a light string passing over a smooth light pulley. The horizontal surface on which block

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67

A light rod of length l is rigidly attached to a small heavy block at one end and a hook at the other end, as shown in the figure. The system is released from rest while the rod is

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68

The bob of mass m of a resting pendulum is given a sharp hit, imparting a horizontal velocity of 10 ,gl , where l represents the pendulum's length. Determine the tension in the str

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69

The bob of mass m of a resting pendulum is given a sharp hit, imparting a horizontal velocity of 10 ,gl , where l represents the pendulum's length. Determine the tension in the str

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70

A spring with natural length h and spring constant k has one end fixed to the ground. The opposite end is connected to a smooth ring of mass m that can slide along a fixed horizont

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71

The bob of mass m of a resting pendulum is given a sharp hit, imparting a horizontal velocity of 10 ,gl , where l represents the pendulum's length. Determine the tension in the str

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72

A simple pendulum consists of a 50 cm long string attached to a 100 g ball. The ball is drawn aside until the string forms an angle of 37^ with the vertical, and is subsequently re

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73

As shown in the figure, a smooth track includes a circular section of radius R . A block of mass m is pushed against a spring having a spring constant k , which is fixed at its lef

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74

The bob of a stationary pendulum receives a sharp hit, imparting to it a horizontal speed of 3gl . Determine the angle rotated by the string before it becomes slack.

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75

Suspended by a 1.5 m long string, a heavy particle is given a horizontal velocity of 57 m/s . Determine the angle made by the string with the upward vertical when the string become

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76

A heavy particle, suspended by a 1.5 m long string, is imparted a horizontal velocity of 57 m/s . Calculate the speed of the particle at the instant the string becomes slack. Take

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77

Suspended by a 1.5 m long string, a heavy particle is given an initial horizontal velocity of 57 m/s . Determine the maximum height reached by the particle above the point of suspe

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78

A simple pendulum of length L with a bob of mass m is deflected from its rest position by an angle heta and released, as shown in the figure. The string encounters a peg fixed at a

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79

A simple pendulum of length L with a bob of mass m is deflected from its equilibrium position by an angle heta = 90^ and released. The string strikes a peg fixed at a distance x =

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80

A simple pendulum of length L with a bob of mass m is displaced from its rest position by an angle heta = 90^ and released. The string hits a peg located at a distance x below the

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81

Starting from the highest point, a particle slides down the surface of a fixed smooth sphere. Determine the angle swept by the radius drawn to the particle at the instant it loses

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82

A particle of mass m is placed on a fixed, smooth sphere of radius R at a position where the radius passing through the particle makes an angle of 30^ with the vertical. The partic

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83

A particle of mass m is placed on a fixed, smooth sphere of radius R at a position where the radius passing through the particle makes an angle of 30^ with the vertical. The partic

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84

A particle of mass m rests at the top of a smooth sphere of radius R . A sharp impulse is applied, providing the particle with a horizontal speed v . Find the normal force exerted

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85

The figure shows a smooth track which consists of a straight inclined part of length l joining smoothly with the circular part. A particle of mass m is projected up the incline fro

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86

A chain having mass m and length l rests on the surface of a smooth sphere of radius R > l . One end of the chain is fastened to the top of the sphere. Determine the gravitational

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87

A chain having mass m and length l rests on the surface of a smooth sphere of radius R > l . One end of the chain is fastened to the top of the sphere. Assume the chain is released

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88

A chain having mass m and length l rests on the surface of a smooth sphere of radius R > l . One end of the chain is fastened to the top of the sphere. Determine the tangential acc

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89

A smooth sphere of radius R is forced to translate along a straight line with a constant acceleration a . A particle placed on the top of the sphere is released from rest relative

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90

For a two-particle system, which of the following quantities depends exclusively on the separation between the two particles?

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91

A spring with spring constant k has two equal masses attached to its ends. The masses are pulled outward symmetrically, stretching the spring by a length x beyond its natural lengt

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92

For a system, the work done by all forces (both internal and external) is equal to the change in its

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93

The negative of the work done on a system by conservative internal forces equals the change in

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94

A heavy stone is thrown with a speed v from a cliff of height h . The stone will strike the ground with maximum speed if it is thrown

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95

A small block of mass m is placed on a rough inclined surface of inclination heta fixed inside an elevator. The elevator ascends with a uniform velocity v and the block does not sl

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96

Two springs A and B , having spring constants related by k_A = 2k_B , are stretched using forces of equal magnitudes at the four ends. If spring A stores an energy E , the energy s

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97

A block of mass m is sliding down a smooth vertical circular track. During this motion, the block is in

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98

The work done on a system by external forces is equal to the change in its

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99

A particle is connected to a string of length l and rotated in a vertical circle, with the string's other end held fixed. To ensure the particle completes the circle, its minimum s

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100

A heavy stone is projected from a cliff of height h in a specified direction. The speed at which it strikes the ground

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101

Two observers are moving relative to one another at a speed v along a straight line. They watch a block of mass m travelling a distance l over a rough surface. Which of the followi

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102

A person lifts a suitcase from the floor and places it on a table. The work done by the person on the suitcase does not depend on

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103

Zero work is performed by a force on an object if

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104

A particle is subjected to a force of constant magnitude that is always perpendicular to its velocity. The motion of the particle occurs in a plane. It then follows that

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105

The total work performed on a particle is equal to the change in its kinetic energy

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106

A particle of mass m is tied to a light string of length l having its other end fixed. The string is initially held horizontal, and the particle is projected with an upward velocit

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107

The kinetic energy of a particle increases continuously over time.

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108

A light spring with spring constant k has one end attached to a wall and the other end connected to a block resting on a smooth horizontal surface. During a displacement, the work

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109

A block of mass M is suspended over a smooth and light pulley via a light string. A constant force F pulls the other end of the string. Over a duration of 1 ext s , the kinetic ene

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110

A heavy stone is projected from a cliff of height h in a specified direction. The speed at which it strikes the ground

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111

A particle of mass m is tied to a light string of length l having its other end fixed. The string is initially held horizontal, and the particle is projected with an upward velocit

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112

Zero work is performed by a force on an object if

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113

The total work performed on a particle is equal to the change in its kinetic energy

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114

A person lifts a suitcase from the floor and places it on a table. The work done by the person on the suitcase does not depend on

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115

Two observers are moving relative to one another at a speed v along a straight line. They watch a block of mass m travelling a distance l over a rough surface. Which of the followi

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116

A particle is subjected to a force of constant magnitude that is always perpendicular to its velocity. The motion of the particle occurs in a plane. It then follows that

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117

A light spring with spring constant k has one end attached to a wall and the other end connected to a block resting on a smooth horizontal surface. During a displacement, the work

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118

A block of mass M is suspended over a smooth and light pulley via a light string. A constant force F pulls the other end of the string. Over a duration of 1 ext s , the kinetic ene

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119

The kinetic energy of a particle increases continuously over time.

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