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Work, Energy and Power

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Q JEE MAIN 2026
A block is sliding down on an inclined plane of slope $\theta$ and at an instant $t=0$ this block is...
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Q JEE MAIN 2026
Given below are two statements : Statement I: An object moves from position $r_1$ to position $r_2$ under a conservative...
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Q JEE MAIN 2026
A body of mass 2 kg is moving along $x$-direction such that its displacement as function of time is given...
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Q JEE MAIN 2026
Potential energy (V) versus distance (x) is given by the graph. Rank various regions as per the magnitudes of the...
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Q JEE MAIN 2019
A force acts on a 2 kg object so that its position is given as a function of time as...
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Q JEE MAIN 2019
A spring whose unstretched length is I has a force constant k . The spring is cut into two pieces...
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Q JEE MAIN 2020
One end of a straight uniform 1 m long bar is pivoted on horizontal table. It is released from rest...
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Q JEE MAIN 2020
If the potential energy between two molecules is given by $\mathrm{U}=\frac{\mathrm{A}}{\mathrm{r}^6}+\frac{\mathrm{B}}{\mathrm{r}^{12}}$, then at equilibrium, separation between molecules, and the potential...
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Q JEE-MAIN 2020
A body of mass 2 kg is driven by an engine delivering a constant power of 1 J/s. The body...
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Q JEE MAIN 2020
Two particles of equal mass $m$ have respective initial velocities $u \hat{i}$ and $u\left(\frac{\hat{i}+\hat{j}}{2}\right)$. They collide completely inelastically. The energy...
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Q JEE MAIN 2020
Consider a force $\vec{F}=-x \hat{i}+y \hat{j}$. The work done by this force in moving a particle from point $\mathrm{A}(1,0)$ to...
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Q JEE Main 2019
A block of mass $m$ is kept on a platform which starts from rest with constant acceleration $\frac{g}{2}$ upward, as...
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Q JEE MAIN 2020
A person pushes a box on a rough horizontal platform surface. He applies a force of 200 N over a...
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Q JEE MAIN 2020
A uniformly thick wheel with moment of inertia I and radius R is free to rotate about its centre of...
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Q JEE-MAIN 2020
A block starts moving up an inclined plane of inclination $30^{\circ}$ with an initial velocity of $v_0$. It comes back...
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Q JEE MAIN 2019
A uniform cable of mass ‘M’ and length ‘L’ is placed on a horizontal surface such that its $\left(\frac{1}{n}\right)^{t h}$...
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Q JEE MAIN 2020
A particle ( $m=1 \mathrm{~kg}$ ) slides down a frictionless track (AOC) starting from rest at a point A (height...
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Q JEE MAIN 2021
A block moving horizontally on a smooth surface with a speed of $40 \mathrm{~ms}^{-1}$ splits into two equal parts. If...
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Q JEE MAIN 2019
A particle which is experiencing a force, given by $\vec{F}=3 \vec{i}-12 \vec{j}$, undergoes a displacement of $\overrightarrow{\mathrm{d}}=4 \overrightarrow{\mathrm{i}}$. If the...
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Q JEE MAIN 2021
A uniform chain of length 3 meter and mass 3 kg overhangs a smooth table with 2 meter laying on...
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Q JEE MAIN 2019
A particle moves in one dimension from rest under the influence of a force that varies with the distance travelled...
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Q JEE MAIN 2021
An automobile of mass ‘m’ accelerates starting from origin and initially at rest, while the engine supplies constant power P....
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Q JEE-MAIN 2021
An engine is attached to a wagon through a shock absorber of length 1.5 m . The system with a...
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Q JEE MAIN 2021
A force of $\mathrm{F}=(5 \mathrm{y}+20) \mathrm{j} \mathrm{N}$ acts on a particle. The workdone by this force when the particle is...
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Q JEE MAIN 2021
Given below is the plot of a potential energy function U (x) for a system, in which a particle is...
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Q JEE-MAIN 2021
A body of mass 'm' dropped from a height 'h' reaches the ground with a speed of $0.8 \sqrt{g h}$...
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Q JEE-MAIN 2021
A pendulum bob has a speed of 3 m/s at its lowest position. The pendulum is 50 cm long. The...
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Q JEE MAIN 2021
Given below is the plot of a potential energy function $\mathrm{U}(\mathrm{x})$ for a system, in which a particle is in...
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Q JEE MAIN 2021
In a spring gun having spring constant 100 N/m a small ball 'B' of mass 100 g is put in...
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Q JEE MAIN 2021
An engine is attached to a wagon through a shock absorber of length 1.5 m . The system with a...
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Q JEE MAIN 2021
A porter lifts a heavy suitcase of mass 80 kg and at the destination lowers it down by a distance...
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Q JEE MAIN 2021
A body at rest is moved along a horizontal straight line by a machine delivering a constant power. The distance...
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Q JEE MAIN 2021
If the Kinetic energy of a moving body becomes four times its initial Kinetic energy, then the percentage change in...
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Q JEE MAIN 2022
Two inclined planes are placed as shown in figure. A block is projected from the Point A of inclined plane...
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Q JEE MAIN 2021
A body of mass ' $m$ ' dropped from a height ' $h$ ' reaches the ground with a speed...
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Q JEE MAIN 2021
A ball of mass 4 kg , moving with a velocity of 10 $\mathrm{ms}^{-1}$, collides with a spring of length...
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Q JEE MAIN 2021
A particle of mass $m$ moves in a circular orbit in a central potential field $U(r)=U_0 r^4$. If Bohr's quantization...
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Q JEE-MAIN 2021
Two identical blocks A and B each of mass m resting on the smooth horizontal floor are connected by a...
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Q JEE MAIN 2021
As shown in the figure, a particle of mass 10 kg is placed at a point $A$. When the particle...
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Q JEE_MAIN_2021
A boy is rolling a 0.5 kg ball on the frictionless floor with the speed of $20 \mathrm{~ms}^{-1}$. The ball...
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Q JEE MAIN 2021
A constant power delivering machine has towed a box, which was initially at rest, along a horizontal straight line. The...
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Q JEE MAIN 2021
Two solids A and B of mass 1 kg and 2 kg respectively are moving with equal linear momentum. The...
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Q JEE MAIN 2022
A bad of sand of mass 9.8 kg is suspended by a rope. A bullet of 200 g travelling with...
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Q JEE MAIN 2022
If momentum of a body is increased by 20%, then its kinetic energy increases by :
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Q JEE Main 2022
A block of mass m (as shown in figure) moving with kinetic energy E compresses a spring through a distance...
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Q JEE MAIN 2022
A bullet of mass 200 g having initial kinetic energy 90 J is shot inside a long swimming pool as...
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Q JEE MAIN 2022
A body of mass 8 kg and another of mass 2 kg are moving with equal kinetic energy. The ratio...
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Q JEE MAIN 2022
A ball is projected with kinetic energy E, at an angle of 60º to the horizontal. The kinetic energy of...
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Q JEE MAIN 2022
A body of mass 0.5 kg travels on straight line path with velocity $\mathrm{v}=\left(3 x^2+4\right) \mathrm{m} / \mathrm{s}$. The net...
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Q JEE MAIN 2022
In the given figure, the block of mass m is dropped from the point 'A'. The expression for kinetic energy...
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Q JEE MAIN 2022
A bar magnet having a magnetic moment of $2.0 \times 10^5 \mathrm{JT}^{-1}$, is placed along the direction of uniform magnetic...
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Q JEE MAIN 2022
Arrange the four graphs in descending order of total work done; where W1, W2, W3 and W4 are the work...
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Q JEE MAIN 2022
Potential energy as a function of r is given by $U=\frac{A}{r^{10}}-\frac{B}{r^5}$, where r is the interatomic distance, A and B...
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Q JEE MAIN 2022
A ball of mass 100 g is dropped from a height h = 10 cm on a platform fixed at...
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Q JEE MAIN 2022
A particle of mass 500 gm is moving in a straight line with velocity $v=b x^{5 / 2}$. The work...
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Q JEE MAIN 2022
A 0.5 kg block moving at a speed of $12 \mathrm{~ms}^{-1}$ compresses a spring through a distance 30 cm when...
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Q JEE MAIN 2022
A particle experiences a variable force $\vec{F}=\left(4 x \hat{i}+3 y^2 \hat{j}\right)$ in a horizontal $x-y$ plane. Assume distance in meters...
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Q JEE MAIN 2022
A particle of mass m is moving in a circular path of constant radius $r$ such that its centripetal acceleration...
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Q JEE MAIN 2024
A body of mass 2 kg begins to move under the action of a time dependent force given by $...
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Q JEE MAIN 2024
A ball suspended by a thread swings in a vertical plane so that its magnitude of acceleration in the extreme...
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Q JEE MAIN 2023
A body is dropped on ground from a height ' $\mathrm{h}_1$ ' and after hitting the ground, it rebounds to...
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Q JEE MAIN 2023
A simple pendulum with length 100 cm and bob of mass 250 g is executing S.H.M. of amplitude 10 cm...
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Q JEE MAIN 2023
A spherical body of mass 2 kg starting from rest acquires a kinetic energy of 10000 J at the end...
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Q JEE MAIN 2025
A block of mass 2 kg is attached to one end of a massless spring whose other end is fixed...
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Q JEE MAIN_2025
Two cylindrical vessels of equal cross sectional area of $2 \mathrm{~m}^2$ contain water upto heights 10 m and 6 m...
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Q JEE MAIN 2025
Which one of the following forces cannot be expressed in terms of potential energy?
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Q JEE MAIN 2023
If the maximum load carried by an elevator is 1400 kg ( 600 kg - Passenger + 800 kg -...
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Q JEE MAIN 2023
A car accelerates from rest to u m/s. The energy spent in this process is E J. The energy required...
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Q JEE MAIN 2023
A body of mass 2 kg is initially at rest. It starts moving unidirectionally under the influence of a source...
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Q JEE MAIN_2023
A body of mass 1 kg begins to move under the action of a time dependent force $...
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Q JEE MAIN 2023
A force $F=\left(5+3 y^2\right)$ acts on a particle in the $y$-direction, where $F$ is newton and $y$ is in meter....
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Q JEE MAIN_2023
Identify the correct statements from the following: (A) Work done by a man in lifting a bucket out of a...
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Q JEE MAIN 2023
A block of mass 10 kg is moving along x-axis under the action of force F = 5x N. The...
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Q JEE MAIN 2023
To maintain a speed of 80 km/h by a bus of mass 500 kg on a plane rough road for...
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Q JEE MAIN 2023
A transverse harmonic wave on a string is given by y(x, t) = 5 sin(6t + 0.003x) where x and...
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Q JEE MAIN 2023
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Q JEE MAIN 2023
The ratio of powers of two motors is $\frac{3 \sqrt{x}}{\sqrt{x}+1}$, that are capable of raising 300 kg water in 5...
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Q JEE MAIN 2023
A force $\vec{F}=(2+3 x) \hat{i}$ acts on a particle in the x direction where F is in newton and x...
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Q JEE MAIN 2023
Given below are two statements: Statement I : A truck and a car moving with same kinetic energy are brought...
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Q JEE MAIN 2023
The momentum of a body is increased by 50%. The percentage increase in the kinetic energy of the body is...
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Q JEE MAIN 2023
At any instant the velocity of a particle of mass 500 g is $\left(2 t \hat{\mathrm{i}}+3 t^2 \hat{\mathrm{j}}\right) \mathrm{ms}^{-1}$. If...
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Q JEE-Main_2024
A particle is placed at the point A of a frictionless track ABC as shown in figure. It is gently...
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Q JEE MAINS 2023
An object of mass 'm' initially at rest on a smooth horizontal plane starts moving under the action of force...
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Q JEE MAIN 2023
A 0.4 kg mass takes 8s to reach ground when dropped from a certain height ‘P’ above surface of earth....
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Q JEE MAIN_2023
A small particle moves to position $5 \hat{i}-2 \hat{j}+\hat{k}$ from its initial position $2 \hat{i}+3 \hat{j}-4 \hat{k}$ under the action...
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Q JEE MAIN 2023
A lift of mass $M=500 \mathrm{~kg}$ is descending with speed of $2 \mathrm{~ms}^{-1}$. Its supporting cable begins to slip thus...
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Q JEE MAIN
A stationary particle breaks into two parts of masses $\mathrm{m}_{\mathrm{A}}$ and $\mathrm{m}_{\mathrm{B}}$ which move with velocities $v_A$ and $v_B$ respectively....
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Q JEE MAIN
Four particles A, B, C, D of mass$\frac{m}{2}, m, 2 m, 4 m$, have same momentum, respectively. The particle with...
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Q JEE MAIN
Three bodies A,B and C have equal kinetic energies and their masses are 400g,1.2kg and 1.6kg respectively. The ratio of...
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Q JEE MAIN
A bullet of mass 50 g is fired with a speed 100m/s on a plywood and emerges with 40 m/s....
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Q JEE MAIN 2024
A body of mass 50kg is lifted to a height of 20m from the ground in the two different ways...
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Q JEE MAIN 2024
If a rubber ball falls from a height h and rebounds upto the height of h/2. The percentage loss of...
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Q JEE MAIN 2024
The potential energy function (in J ) of a particle in a region of space is given as $...
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Q JEE MAIN 2024
Two bodies of mass 4g and 25g are moving with equal kinetic energies. The ratio of magnitude of their linear...
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Q JEE MAIN 2025
A body of mass 4 kg is placed on a plane at a point $P$ having coordinate $(3,4) m$. Under...
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Q JEE MAIN 2025
An object of mass 1000 g experiences a time dependent force $...
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Q JEE MAIN 2025
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion...
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Q JEE MAIN 2025
A force ${\rm{F}} - \alpha + \beta {{\rm{x}}^2}$ acts on an object in the x -direction. The work done by...
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Q JEE MAIN 2025
A force $\text{f}={{\text{x}}^{2}}\text{y}\widehat{\text{i}}+{{\text{y}}^{2}}\widehat{\text{j}}$ acts on a particle in a plane $\text{x}+\text{y}=10$ . The work done by this force during a...
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Q JEE MAIN 2025
A ball having kinetic energy KE , is projected at an angle of $60^{\circ}$ from the horizontal. What will be...
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Q JEE MAIN 2025
A ball of mass 100 g is projected with velocity 20 m/s at 60° with horizontal. The decrease in kinetic...
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Q JEE MAIN 2025
A force $\overrightarrow{\mathrm{F}}=2 \hat{i}+\mathrm{b} \hat{j}+\hat{k}$ is applied on a particle and it undergoes a displacement $\hat{i}-2 \hat{j}-\hat{k}$. What will be...
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