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Work, Power and Energy — JEE Main & Advanced Physics PYQs

423 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.

423 questionsPhysicsSolutions on every page
1

A body of mass 1 kg moves along a straight line with a velocity v = 2x^2 . The work done by the body during displacement from x = 0 to 5 m is __________ J.

JEE Main 2026 Solution View → 2

The velocity at which 6 kg mass (shown in figure) strikes the ground when it is released from a height of 6 m above the ground is __________ m/s. Assume pulley is massless and stri

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The rain drop of mass 1 g, starts with zero velocity from a height of 1 km. It hits the ground with a speed of 5 m/s. The work done by the unknown resistive force is _______ J. (ta

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A smooth inclined plane ends in a vertical circular loop, as shown in the figure. A small body is released from height h as shown. If the body exerts a force of three times its wei

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A 1 kg block subjected to two simultaneous forces (2 i + 3 j + 4 k ) N and (3 i - j - 2 k ) N is moved a distance of 25 m along (3 i - 4 j ) direction. The work done in this proces

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A body of mass 2 kg begins to move under the influence of time dependent force F = (2t i + 6t^2 j ) N, where i and j are unit vectors along x and y -axis respectively. The power pr

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A spherical ball of mass 2 kg falls from a height of 10 m and is brought to rest after penetrating 10 cm into sand. The average force exerted by sand on the ball is _______ N. (Tak

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In case of vertical circular motion of a particle by a thread of length r if the tension in the thread is zero at an angle 30^ shown in figure, the velocity at the bottom point (A)

JEE Main 2026 Solution View → 9

A bead P sliding on a frictionless semi-circular string (A C B) and it is at point S at t =0 and at this instant the horizontal component of its velocity is v . Another bead Q of t

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A small bob A of mass m is attached to a massless rigid rod of length 1 m pivoted at point P and kept at an angle of 60^ with vertical as shown in figure. At distance of 1 m below

JEE Main 2026 Solution View → 11

Given below are two statements : Statement I : An object moves from position r₁ to position r₂ under a conservative force field F . The work done by the force is W=- _ r₁ ^ r₂ F d

JEE Main 2026 Solution View → 12

A body of mass 2 kg is moving along x -direction such that its displacement as function of time is given by x(t)= t²+ t+ m , where =1 ~m / s ², =1 ~m / s and =1 ~m . The work done

JEE Main 2026 Solution View → 13

Potential energy ( V ) versus distance ( x ) is given by the graph. Rank various regions as per the magnitudes of the force (F) acting on a particle from high to low.

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A block of mass 2 kg is attached to one end of a massless spring whose other end is fixed at a wall. The spring-mass system moves on a frictionless horizontal table. The spring's n

JEE Main 2025 Solution View → 15

Which one of the following forces cannot be expressed in terms of potential energy?

JEE Main 2025 Solution View → 16

An object of mass 1000 g experiences a time dependent force F = (2 t i +3 t^2 j ) N . The power generated by the force at time t is :

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A block of mass 25 kg is pulled along a horizontal surface by a force at an angle 45^ with the horizontal. The friction coefficient between the block and the surface is 0.25. The d

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A block of mass 1 kg , moving along x with speed v _ i =10 ~m / s enters a rough region ranging from x =0.1 ~m to x =1.9 ~m . The retarding force acting on the block in this range

JEE Main 2025 Solution View → 19

A particle is released from height S above the surface of the earth. At certain height its kinetic energy is three times its potential energy. The height from the surface of the ea

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A piston of mass M is hung from a massless spring whose restoring force law goes as F =- kx ^3 , where k is the spring constant of appropriate dimension. The piston separates the v

JEE Main 2025 Solution View → 21

A sand dropper drops sand of mass m(t) on a conveyer belt at a rate proportional to the square root of speed (v) of the belt, i.e. dm dt v . If P is the power delivered to run the

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A body of mass ' (m ) ' connected to a massless and unstretchable string goes in verticle circle of radius ' (R ) 'under gravity (g ). The other end of the string is fixed at the c

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A body of mass 4 kg is placed on a plane at a point P having coordinate (3,4) m . Under the action of force F =(2 i +3 j ) N , it moves to a new point Q having coordinates (6,10) m

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Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: In a central force field, the work done is independent of the path

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A bead of mass ' m ' slides without friction on the wall of a vertical circular hoop of radius ' R ' as shown in figure. The bead moves under the combined action of gravity and a m

JEE Main 2025 Solution View → 26

A force F = + x ^2 acts on an object in the x -direction. The work done by the force is 5 J when the object is displaced by 1 m . If the constant =1 ~N then will be

JEE Main 2025 Solution View → 27

A ball having kinetic energy KE, is projected at an angle of 60^ from the horizontal. What will be the kinetic energy of ball at the highest point of its flight ?

JEE Main 2025 Solution View → 28

A force f = x ^2 y i + y ^2 j acts on a particle in a plane x + y =10 . The work done by this force during a displacement from (0,0) to (4 ~m , 2 ~m ) is Joule (round off to the ne

JEE Main 2025 Solution View → 29

A body of mass 100 g is moving in circular path of radius 2 m on vertical plane as shown in figure. The velocity of the body at point A is 10 ~m / s . The ratio of its kinetic ener

JEE Main 2025 Solution View → 30

A force F =2 i + b j + k is applied on a particle and it undergoes a displacement i -2 j - k . What will be the value of b , if work done on the particle is zero.

JEE Main 2025 Solution View → 31

A bob of mass m is suspended at a point O by a light string of length l and left to perform vertical motion (circular) as shown in figure. Initially, by applying horizontal velocit

JEE Main 2025 Solution View → 32

A force (3 x^2+2 x-5 ) N displaces a body from x=2 ~m to x=4 ~m . Work done by this force is ________ J .

JEE Main 2024 Solution View → 33

A particle of mass m moves on a straight line with its velocity increasing with distance according to the equation v= x , where is a constant. The total work done by all the forces

JEE Main 2024 Solution View → 34

A circular table is rotating with an angular velocity of rad / s about its axis (see figure). There is a smooth groove along a radial direction on the table. A steel ball is gently

JEE Main 2024 Solution View → 35

A stationary particle breaks into two parts of masses m_A and m_B which move with velocities v_A and v_B respectively. The ratio of their kinetic energies (K_B: K_A ) is :

JEE Main 2024 Solution View → 36

A bullet of mass 50 ~g is fired with a speed 100 ~m / s on a plywood and emerges with 40 ~m / s . The percentage loss of kinetic energy is :

JEE Main 2024 Solution View → 37

A body is moving unidirectionally under the influence of a constant power source. Its displacement in time t is proportional to :

JEE Main 2024 Solution View → 38

A body of mass 50 ~kg is lifted to a height of 20 ~m from the ground in the two different ways as shown in the figures. The ratio of work done against the gravity in both the respe

JEE Main 2024 Solution View → 39

A body of m ~kg slides from rest along the curve of vertical circle from point A to B in friction less path. The velocity of the body at B is: (given, R=14 ~m , g=10 ~m / s ^2 and

JEE Main 2024 Solution View → 40

If a rubber ball falls from a height h and rebounds upto the height of h / 2 . The percentage loss of total energy of the initial system as well as velocity ball before it strikes

JEE Main 2024 Solution View → 41

A body of mass 2 kg begins to move under the action of a time dependent force given by F → = 6 t i ^ + 6 t 2 j ^ N . The power developed by the force at the time t is given by:

JEE Main 2024 Solution View → 42

An artillery piece of mass M 1 fires a shell of mass M 2 horizontally. Instantaneously after the firing, the ratio of kinetic energy of the artillery and that of the shell is :

JEE Main 2024 Solution View → 43

A solid circular disc of mass 50 kg rolls along a horizontal floor so that its center of mass has a speed of 0 . 4 m s - 1 . The absolute value of work done on the disc to stop it

JEE Main 2024 Solution View → 44

A block of mass 1 kg is pushed up a surface inclined to horizontal at an angle of 60 ° by a force of 10 N parallel to the inclined surface as shown in figure. When the block is pus

JEE Main 2024 Solution View → 45

A particle is placed at the point A of a frictionless track ABC as shown in figure. It is gently pushed towards right. The speed of the particle when it reaches the point B is: ( T

JEE Main 2024 Solution View → 46

The bob of a pendulum was released from a horizontal position. The length of the pendulum is 10 m . If it dissipates 10 % of its initial energy against air resistance, the speed wi

JEE Main 2024 Solution View → 47

A bob of mass m is suspended by a light string of length L . It is imparted a minimum horizontal velocity at the lowest point A such that it just completes half circle reaching the

JEE Main 2024 Solution View → 48

A block of mass 100 kg slides over a distance of 10 m on a horizontal surface. If the co-efficient of friction between the surfaces is 0 . 4 , then the work done against friction (

JEE Main 2024 Solution View → 49

The potential energy function (in J ) of a particle in a region of space is given as U = 2 x 2 + 3 y 3 + 2 z . Here x , y and z are in meter. The magnitude of x - component of forc

JEE Main 2024 Solution View → 50

A ball suspended by a thread swings in a vertical plane so that its magnitude of acceleration in the extreme position and lowest position are equal. The angle ( θ ) of thread defle

JEE Main 2024 Solution View → 51

Two bodies of mass 4 g and 25 g are moving with equal kinetic energies. The ratio of magnitude of their linear momentum is :

JEE Main 2024 Solution View → 52

A body is released from a height equal to the radius R of the earth. The velocity of the body when it strikes the surface of the earth will be: (Given g = acceleration due to gravi

JEE Main 2023 Solution View → 53

A block of mass 10 kg is moving along x -axis under the action of force F = 5 x N . The work done by the force in moving the block from x = 2 m to 4 m will be _______ J .

JEE Main 2023 Solution View → 54

A car accelerates from rest of u m s - 1 . The energy spent in this process is E J . The energy required to accelerate the car from u m s - 1 to 2 u m s - 1 is n E J . The value of

JEE Main 2023 Solution View → 55

The ratio of powers of two motors is 3 x x + 1 , that are capable of raising 300 kg water in 5 minutes and 50 kg water in 2 minutes respectively from a well of 100 m deep. The valu

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A body of mass ( 5 ± 0 . 5 ) kg is moving with a velocity of ( 20 ± 0 . 4 ) m s - 1 . Its kinetic energy will be

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To maintain a speed of 80 km h - 1 by a bus of mass 500 kg on a plane rough road for 4 km distance, the work done by the engine of the bus will be _____ kJ . [The coefficient of fr

JEE Main 2023 Solution View → 58

A block of mass 5 kg starting from rest pulled up on a smooth incline plane making an angle of 30 ° with horizontal with an effective acceleration of 1 m s - 2 . The power del

JEE Main 2023 Solution View → 59

A force F → = 2 + 3 x i ^ acts on a particle in the x direction where F is in Newton and x is in meter. The work done by this force during a displacement from x = 0 to x = 4

JEE Main 2023 Solution View → 60

If the maximum load carried by an elevator is 1400 kg ( 600 kg -Passengers + 800 kg -elevator ) , which is moving up with a uniform speed of 3 m s - 1 and the frictional force acti

JEE Main 2023 Solution View → 61

A closed circular tube of average radius 15 cm , whose inner walls are rough, is kept in vertical plane. A block of mass 1 kg just fit inside the tube. The speed of block is 22 m s

JEE Main 2023 Solution View → 62

A bullet of mass 0 . 1 kg moving horizontally with speed 400 m s - 1 hits a wooden block of mass 3 . 9 kg kept on a horizontal rough surface. The bullet gets embedded into the bloc

JEE Main 2023 Solution View → 63

A body of mass 5 kg is moving with a momentum of 10 kg m s - 1 . Now a force of 2 N acts on the body in the direction of its motion for 5 s . The increase in the Kinetic energy of

JEE Main 2023 Solution View → 64

A hollow spherical ball of uniform density rolls up a curved surface with an initial velocity 3 m s - 1 (as shown in figure). Maximum height with respect to the initial position co

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The momentum of a body is increased by 50 % . The percentage increase in the kinetic energy of the body is_ _ _ _ _ _ _ _ % .

JEE Main 2023 Solution View → 66

A small particle of mass m moves in such a way that its potential energy U = 1 2 m ω 2 r 2 where ω is constant and r is the distance of the particle from origin. Assuming

JEE Main 2023 Solution View → 67

A body is dropped on ground from a height h 1 and after hitting the ground, it rebounds to a height h 2 . If the ratio of velocities of the body just before and after hitting groun

JEE Main 2023 Solution View → 68

A block is fastened to a horizontal spring. The block is pulled to a distance x = 10 cm from its equilibrium position (at x = 0 ) on a frictionless surface from rest. The energy of

JEE Main 2023 Solution View → 69

A force F = ( 5 + 3 y 2 ) acts on a particle in the y -direction, where F is newton and y is in meter. The work done by the force during a displacement from y = 2 m to y = 5 m is _

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A small particle moves to position 5 i ^ - 2 j ^ + k ^ from its initial position 2 i ^ + 3 j ^ - 4 k ^ under the action of force 5 i ^ + 2 j ^ + 7 k ^ N . The value of work done wi

JEE Main 2023 Solution View → 71

A lift of mass M = 500 kg is descending with speed of 2 m s - 1 . Its supporting cable begins to slip thus allowing it to fall with a constant acceleration of 2 m s - 2 . The kinet

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A body of mass 2 kg is initially at rest. It starts moving unidirectionally under the influence of a source of constant power P . Its displacement in 4 s is 1 3 α 2 P m . The

JEE Main 2023 Solution View → 73

Identify the correct statements from the following: (A) Work done by a man in lifting a bucket out of a well by means of a rope tied to the bucket is negative (B) Work done by grav

JEE Main 2023 Solution View → 74

A 0 . 4 kg mass takes 8 s to reach ground when dropped from a certain height P above surface of earth. The loss of potential energy in the last second of fall is ______ J . [Take g

JEE Main 2023 Solution View → 75

An object of mass m initially at rest on a smooth horizontal plane starts moving under the action of force F = 2 N . In the process of its linear motion, the angle θ (as shown

JEE Main 2023 Solution View → 76

A body of mass 1 kg begins to move under the action of a time dependent force F → = t i ^ + 3 t 2 j ^ N , where i ^ and j ^ are the unit vectors along x and y axis. The power

JEE Main 2023 Solution View → 77

A spherical body of mass 2 kg starting from rest acquires a kinetic energy of 10000 J at the end of 5 th second. The force acted on the body is _____ N .

JEE Main 2023 Solution View → 78

List I describes four systems, each with two particles A and B in relative motion as shown in figure. List II gives possible magnitudes of their relative velocities (in m s - 1 ) a

JEE Advanced 2022 Solution View → 79

If momentum of a body is increased by 20 % , then its kinetic energy increases by :

JEE Main 2022 Solution View → 80

A bullet of mass 200 g having initial kinetic energy 90 J is shot inside a long swimming pool as shown in the figure. If it's kinetic energy reduces to 40 J within 1 s , the mi

JEE Main 2022 Solution View → 81

A block of mass ' m ' (as shown in figure) moving with kinetic energy E compresses a spring through a distance 25   cm when, its speed is halved. The value of spring c

JEE Main 2022 Solution View → 82

Two inclined planes are placed as shown in figure. A block is projected from the Point A of inclined plane A B along its surface with a velocity just sufficient to carry it to the

JEE Main 2022 Solution View → 83

Sand is being dropped from a stationary dropper at a rate of 0 . 5 kg s - 1 on a conveyor belt moving with a velocity of 5 m s - 1 . The power needed to keep belt moving with the s

JEE Main 2022 Solution View → 84

As per the given figure, two blocks each of mass 250 g are connected to a spring of spring constant 2 N m - 1 . If both are given velocity v in opposite directions, then maximum el

JEE Main 2022 Solution View → 85

A bag of sand of mass 9 . 8 kg is suspended by a rope. A bullet of 200 g travelling with speed 10 ms - 1 gets embedded in it, then loss of kinetic energy will be

JEE Main 2022 Solution View → 86

A body of mass 0 . 5 kg travels on straight line path with velocity v = 3 x 2 + 4 m s - 1 . The net work done by the force during its displacement from x = 0 to x = 2 m is

JEE Main 2022 Solution View → 87

In the given figure, the block of mass m is dropped from the point ' A ' . The expression for kinetic energy of block when it reaches point ' B ' is

JEE Main 2022 Solution View → 88

A particle of mass 500 g is moving in a straight line with velocity v = b x 5 2 . The work done by the net force during its displacement from x = 0 to x = 4 m is (Take b = 0 . 25 m

JEE Main 2022 Solution View → 89

Water falls from a 40 m high dam at the rate of 9 × 10 4 kg per hour. Fifty percentage of gravitational potential energy can be converted into electrical energy. Using this hy

JEE Main 2022 Solution View → 90

A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration a c is varying with time t as a c = k 2 r t 2 , where k is a constant.

JEE Main 2022 Solution View → 91

A pendulum is suspended by a string of length 250 cm . The mass of the bob of the pendulum is 200 g . The bob is pulled aside until the string is at 60 ° with vertical as show

JEE Main 2022 Solution View → 92

A stone tide to a string of length L is whirled in a vertical circle with the other end of the string at the centre. At a certain instant of time, the stone is at its lowest positi

JEE Main 2022 Solution View → 93

A rolling wheel of 12 kg is on an inclined plane at position P and connected to a mass of 3 kg through a string of fixed length and pulley as shown in figure. Consider P R as frict

JEE Main 2022 Solution View → 94

Arrange the four graphs in descending order of total work done; where W 1 , W 2 , W 3 and W 4 are the work done corresponding to figure a , b , c and d respectively.

JEE Main 2022 Solution View → 95

For a particle in uniform circular motion, the acceleration a → at any point P R , θ on the circular path of radius R is (when θ is measured from the positive x -ax

JEE Main 2022 Solution View → 96

A 0 . 5 kg block moving at a speed of 12 ms - 1 compresses a spring through a distance 30 cm when its speed is halved. The spring constant of the spring will be _____ Nm - 1

JEE Main 2022 Solution View → 97

A stone of mass m , tied to a string is being whirled in a vertical circle with a uniform speed. The tension in the string is

JEE Main 2022 Solution View → 98

Potential energy as a function of r is given by U = A r 10 - B r 5 , where r is the interatomic distance, A and B are positive constants. The equilibrium distance between the two a

JEE Main 2022 Solution View → 99

A particle experiences a variable force F → = 4 x i ^ + 3 y 2 j ^ in a horizontal x - y plane. Assume distance in meters and force is newton. If the particle moves from point

JEE Main 2022 Solution View → 100

A ball of mass 100   g is dropped from a height h = 10   cm on a platform fixed at the top of a vertical spring (as shown in figure). The ball stays on the platform and t

JEE Main 2022 Solution View → 101

A body of mass m dropped from a height h reaches the ground with a speed of 0 . 8 g h . The value of work done by the air-friction is:

JEE Main 2021 Solution View → 102

An engine is attached to a wagon through a shock absorber of length 1 . 5   m . The system with a total mass of 40 , 000   kg is moving with a speed of 72   km &#160

JEE Main 2021 Solution View → 103

A block moving horizontally on a smooth surface with a speed of 40 m s - 1 splits into two parts with masses in the ratio of 1 : 2 . If the smaller part moves at 60 m s - 1 in the

JEE Main 2021 Solution View → 104

A block moving horizontally on a smooth surface with a speed of 40 m s - 1 splits into two equal parts. If one of the parts moves at 60 m s - 1 in the same direction, then the frac

JEE Main 2021 Solution View → 105

The height of victoria's falls is 63 m . What is the difference in the temperature of water at the top and at the bottom of the fall? [Given 1 cal = 4 . 2 J and specific heat o

JEE Main 2021 Solution View → 106

Two persons A and B perform same amount of work in moving a body through a certain distance d with application of forces acting at angles 45 ° and 60 ° with the direction

JEE Main 2021 Solution View → 107

A uniform chain of length 3 m and mass 3 kg overhangs a smooth table with 2 m laying on the table. If K is the kinetic energy of the chain in J as it completely slips off the table

JEE Main 2021 Solution View → 108

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

JEE Main 2021 Solution View → 109

An automobile of mass m accelerates starting from the origin and initially at rest, while the engine supplies constant power P . The position is given as a function of time by:

JEE Main 2021 Solution View → 110

A force of F = ( 5 y + 20 ) j ^ N acts on a particle. The work done by this force when the particle is moved from y = 0 m to y = 10 m is ________ J .

JEE Main 2021 Solution View → 111

A porter lifts a heavy suitcase of mass 80 kg and at the destination lowers it down by a distance of 80 cm with a constant velocity. Calculate the work done by the porter in loweri

JEE Main 2021 Solution View → 112

If the kinetic energy of a moving body becomes four times its initial kinetic energy, then the percentage change in its momentum will be:

JEE Main 2021 Solution View → 113

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&

JEE Main 2021 Solution View → 114

A ball of mass 4 kg , moving with a velocity of 10 m s - 1 , collides with a spring of length 8 m and force constant 100 N m - 1 . The length of the compressed spring is x m . The

JEE Main 2021 Solution View → 115

A constant power delivering machine has towed a box, which was initially at rest, along a horizontal straight line. The distance moved by the box in time t is proportional to :-

JEE Main 2021 Solution View → 116

As shown in the figure, a particle of mass 10   kg is placed at a point A . When the particle is slightly displaced to its right, it starts moving and reaches the point B . Th

JEE Main 2021 Solution View → 117

A boy is rolling a 0 . 5 kg ball on the frictionless floor with the speed of 20 m s - 1 . The ball gets deflected by an obstacle on the way. After deflection it moves with 5 % of i

JEE Main 2021 Solution View → 118

Two particles having masses 4 g and 16 g respectively are moving with equal kinetic energies. The ratio of the magnitudes of their linear momentum is n : 2 . The value of n will be

JEE Main 2021 Solution View → 119

The potential energy U of a diatomic molecule is a function dependent on r (interatomic distance) as U = α r 10 - β r 5 - 3 where, α and β are positive constant

JEE Main 2021 Solution View → 120

Two solids A and B of mass 1 kg and 2 kg respectively are moving with equal linear momentum. The ratio of their kinetic energies K . E . A : K . E . B will be A 1 , so the value of

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