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JEE Work, Power and Energy PYQs with Solutions

423 previous year questions from Work, Power and Energy (JEE Main & Advanced Physics) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

423 questionsPhysics2002–2026Answers + solutions

About Work, Power and Energy PYQs

Work, Power and Energy has 423 previous year questions in the Quantrex Academy JEE Main & Advanced Physics bank. The 220 questions in this list come from JEE Main (181), JEE Advanced (20) and NTA Abhyas JEE Main (19), spanning 2002 to 2026. Each question opens on its own page with the options, the correct answer and the worked solution where available.

Questions by year (this list)

  • 2026: 13
  • 2025: 18
  • 2024: 20
  • 2023: 26
  • 2022: 23
  • 2021: 20
  • 2020: 28
  • 2019: 10
  • 2018: 4
  • 2017: 3
  • 2016: 5
  • 2015: 5

Work, Power and Energy questions with solutions

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

JEE Main 2026 Solution View → 3

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.

JEE Main 2026 Solution View → 4

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

JEE Main 2026 Solution View → 5

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

JEE Main 2026 Solution View → 6

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

JEE Main 2026 Solution View → 7

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.

JEE Main 2026 Solution View → 8

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

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

JEE Main 2026 Solution View → 10

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

JEE Main 2026 Solution View → 11

Given below are two statements : Statement I : An object moves from position r_ 1 to position r_ 2 under a conservative force field F . The work done by the force is W=-∫_ r_ 1 ^

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)=α t^ 2 +β t+γ m , where α=1 ~m / s^ 2 , β=1 ~m / s and γ=1 ~m .

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.

JEE Main 2026 Solution View → 14

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

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 :

JEE Main 2025 Solution View → 17

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.

JEE Main 2025 Solution View → 18

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 is

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

JEE Main 2025 Solution View → 20

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

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

JEE Main 2025 Solution View → 22

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

JEE Main 2025 Solution View → 23

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)

JEE Main 2025 Solution View → 24

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

JEE Main 2025 Solution View → 25

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

JEE Main 2025 Solution View → 26

A force F=α+β 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 α=1 ~N then β 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 nearest

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

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

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=α x , where α is a constant. The total work done by all the

JEE Main 2024 Solution View → 34

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

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

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 2

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 2kg begins to move under the action of a time dependent force given by → F = (6t ^ 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 50kg rolls along a horizontal floor so that its center of mass has a speed of 0 . 4m s ^ - 1 . The absolute value of work done on the disc to stop it

JEE Main 2024 Solution View → 44

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

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: (

JEE Main 2024 Solution View → 46

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

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

JEE Main 2024 Solution View → 48

A block of mass 100kg slides over a distance of 10m 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 + 2z) . Here x, y and z are in meter. The magnitude of x - component of

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

JEE Main 2024 Solution View → 51

Two bodies of mass 4g and 25g 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

JEE Main 2023 Solution View → 53

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

JEE Main 2023 Solution View → 54

A car accelerates from rest of um s ^ - 1 . The energy spent in this process is EJ . The energy required to accelerate the car from um s ^ - 1 to 2um s ^ - 1 is nEJ . 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 300kg water in 5 minutes and 50kg water in 2 minutes respectively from a well of 100m deep. The value

JEE Main 2023 Solution View → 56

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

JEE Main 2023 Solution View → 57

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

JEE Main 2023 Solution View → 58

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

JEE Main 2023 Solution View → 59

A force → F = (2 + 3x) ^ 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 = 4m is

JEE Main 2023 Solution View → 60

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

JEE Main 2023 Solution View → 61

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

JEE Main 2023 Solution View → 62

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

JEE Main 2023 Solution View → 63

A body of mass 5kg is moving with a momentum of 10kgm s ^ - 1 . Now a force of 2N acts on the body in the direction of its motion for 5s . 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 3m s ^ - 1 (as shown in figure). Maximum height with respect to the initial position

JEE Main 2023 Solution View → 65

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

JEE Main 2023 Solution View → 68

A block is fastened to a horizontal spring. The block is pulled to a distance x = 10cm 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 = 2m to y = 5m is

JEE Main 2023 Solution View → 70

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

JEE Main 2023 Solution View → 71

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

JEE Main 2023 Solution View → 72

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

JEE Main 2023 Solution View → 74

A 0 . 4kg mass takes 8s 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 = 2N . In the process of its linear motion, the angle θ (as shown in

JEE Main 2023 Solution View → 76

A body of mass 1kg 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 2kg starting from rest acquires a kinetic energy of 10000J 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

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

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 25cm when, its speed is halved. The value of spring constant

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 AB 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 . 5kg s ^ - 1 on a conveyor belt moving with a velocity of 5m s ^ - 1 . The power needed to keep belt moving with

JEE Main 2022 Solution View → 84

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

JEE Main 2022 Solution View → 85

A bag of sand of mass 9 . 8kg is suspended by a rope. A bullet of 200g 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 . 5kg 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 = 2m 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 500g is moving in a straight line with velocity v = bx(5)/(2) . The work done by the net force during its displacement from x = 0 to x = 4m is (Take b = 0 .

JEE Main 2022 Solution View → 89

Water falls from a 40m 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 hydro

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

JEE Main 2022 Solution View → 91

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

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

JEE Main 2022 Solution View → 93

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

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 -axis and v is

JEE Main 2022 Solution View → 96

A 0 . 5kg block moving at a speed of 12 ms ^ - 1 compresses a spring through a distance 30cm 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

JEE Main 2022 Solution View → 99

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

JEE Main 2022 Solution View → 100

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

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 gh . 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 . 5m . The system with a total mass of 40, 000kg is moving with a speed of 72km h ^ - 1 when the brakes are

JEE Main 2021 Solution View → 103

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

JEE Main 2021 Solution View → 104

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

JEE Main 2021 Solution View → 105

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

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 of

JEE Main 2021 Solution View → 107

A uniform chain of length 3m and mass 3kg overhangs a smooth table with 2m 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.

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

JEE Main 2021 Solution View → 111

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

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

JEE Main 2021 Solution View → 114

A ball of mass 4kg , moving with a velocity of 10 ms ^ - 1 , collides with a spring of length 8m and force constant 100N m ^ - 1 . The length of the compressed spring is xm . 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 10kg is placed at a point A . When the particle is slightly displaced to its right, it starts moving and reaches the point B . The speed

JEE Main 2021 Solution View → 117

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

JEE Main 2021 Solution View → 118

Two particles having masses 4g and 16g 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 constants. The

JEE Main 2021 Solution View → 120

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

JEE Main 2021 Solution View →
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