A body of mass 1 kg moves along a straight line with a velocity v = 2x². The work done by the body during displacement from x = 0 to 5 m is ______ J. (a) 0 (b) 250 (c) 1250 (d) 1000

Answer: (c). Net work = change in KE. v(0) = 0, v(5) = 2(25) = 50 m/s W = 1/2(1)(50²) - 0 = 1250 J So the answer is (c) 1250.

A body of mass 1 kg moves along a straight line with a velocity v =… | JEE Main 2026 (6 Apr, Shift 2)

Q2JEE Main 2026 · 6 APR · SHIFT 2Medium

Work-Energy Theorem

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.

Show answer and solution

Answer: (c)

Net work $=$ change in KE.
$v(0) = 0$ , $v(5) = 2(25) = 50\text{ m/s}$
$W = \frac{1}{2}(1)(50^2) - 0 = 1250\text{ J}$
So the answer is (c) 1250.

Report a mistake

More questions on Work-Energy Theorem

A body of mass 2 kg is moving along x-direction such that its displacement as function of…JEE Main 2026 (21 Jan, Shift 2)
A spherical ball of mass 2 kg falls from a height of 10 m and is brought to rest after…JEE Main 2026 (2 Apr, Shift 2)
The kinetic energies of two similar cars A and B are 100 J and 225 J respectively. On…NEET 2025
A bullet of mass 50 g is fired with a speed 100 m/s on a plywood and emerges with 40 m/s…JEE Main 2024 (6 Apr, Shift 1)
A particle of mass m moves on a straight line with its velocity increasing with distance…JEE Main 2024 (9 Apr, Shift 1)
A bullet is fired into a fixed target loses one third of its velocity after travelling 4…JEE Main 2024 (27 Jan, Shift 2)
A lift of mass M = 500 kg is descending with speed of 2 ms⁻¹. Its supporting cable begins…JEE Main 2023 (31 Jan, Shift 1)
A spherical body of mass 2 kg starting from rest acquires a kinetic energy of 10000 J at…JEE Main 2023 (24 Jan, Shift 1)

Work-Energy Theorem question from JEE Main 2026 (6 Apr, Shift 2)

More questions on Work-Energy Theorem