Practice portal › JEE › Work, Energy and Power

Work Done by a Variable Force for JEE: 25 solved questions

Real JEE paper questions on work done by a variable force, part of work, energy and power. Each opens with the options, the correct answer and a step-by-step solution. Papers run from 2012 to 2026. No sign-in needed to read them.

What this topic asks

• Integrating a position-dependent force — 18 questions
• Force-displacement graphs — 4 questions
• Time-dependent forces — 3 questions

All 25 questions with solutions

• A body of mass 2 kg is moving along x-direction such that its displacement as function of time is given by x(… JEE Main 21st Jan 2nd Shift 2026
• A force F=α+β x² acts on an object in the x-direction. The work done by the force is 5 J when the object is d… JEE Main 24th Jan 1st Shift 2025
• A body of mass 0.5 kg travels on straight line path with velocity v=(3x²+4) m/s. The net work done by the for… JEE Main 25th July 1st Shift 2022
• Arrange the four graphs in descending order of total work done; where W₁, W₂, W₃ and W₄ are the work done cor… JEE Main 26th June 2nd Shift 2022
• A block of mass 2 kg moving on horizontal surface with speed of 4 m s⁻¹ enters a rough surface ranging from x… JEE Main 28th June 2nd Shift 2022
• A person pushes a box on a rough horizontal platform surface. He applies a force of 200 N over a distance of… JEE Main 4th Sept 2nd Shift 2020
• Consider a force ⃗F=-x̂i+ŷj. The work done by this force in moving a particle from point A(1,0) to B(0,1) al… JEE Main 9th Jan 1st Shift 2020
• When a rubber-band is stretched by a distance x, it exerts a restoring force of magnitude F=ax+bx² where a an… JEE Main 2014
• A force ⃗F=x²y ̂i+y² ̂j acts on a particle in a plane x+y=10. The work done by this force during a displaceme… JEE Main 23rd Jan 1st Shift 2025
• A force (3x²+2x-5) N displaces a body from x=2 m to x=4 m. Work done by this force is J. JEE Main 9th April 2nd Shift 2024
• 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 do… JEE Main 11th April 1st Shift 2023
• A block of mass 10 kg is moving along x-axis under the action of force F=5x N. The work done by the force in… JEE Main 15th April 1st Shift 2023
• A force F=(5+3y²) acts on a particle in the y-direction, where F is in newton and y is in meter. The work don… JEE Main 1st Feb 2nd Shift 2023
• 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=0… JEE Main 25th July 2nd Shift 2021
• A body of mass 1 kg moves along a straight line with a velocity v=2x². The work done by the body during displ… JEE Main 6th April 2nd Shift 2026
• A particle of mass m moves on a straight line with its velocity increasing with distance according to the equ… JEE Main 9th April 1st Shift 2024
• A particle of mass 500 gm is moving in straight line with velocity v=bx^5/2. The work done by the net force d… JEE Main 29th June 1st Shift 2022
• A particle is projected with velocity v₀ along x-axis. A damping force is acting on the particle which is pro… JEE Main 24th Feb 2nd Shift 2021
• A particle moves in one dimension from rest under the influence of a force that varies with the distance trav… JEE Main 8th April 1st Shift 2019
• A force acts on a 2 kg object so that its position is given as a function of time as x=3t²+5. What is the wor… JEE Main 9th Jan 2nd Shift 2019
• A body of mass m starts moving from rest along x-axis so that its velocity varies as v=a√s where a is a const… JEE Main Online 2018
• A time dependent force F=6t acts on a particle of mass 1 kg. If the particle starts from rest, the work done… JEE Main 2017
• Velocity-time graph for a body of mass 10 kg is shown in figure. Work-done on the body in first two seconds o… JEE Main Online 2016
• The force ⃗F=F̂i on a particle of mass 2 kg, moving along the x-axis is given in the figure as a function of… JEE Main Online 2012
• An object of mass 'm' initially at rest on a smooth horizontal plane starts moving under the action of force… JEE Main 25th Jan 1st Shift 2023