JEE Main · 2023 · 24 Jan 2023 · Shift 1 · Laws of Motion

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.

Answer: 40

Solution

Starting from rest, the kinetic energy fixes the final speed through

10000 = \frac{1}{2} (2) v^{2}

, giving

v = 100 m/s

. Reached in

5 s

under a constant force, the acceleration is

a = \frac{100}{5} = 20 m/s^{2}

. The force acting on the body is

F = ma = 2 \times 20 = 40 N

JEE Main · 2023 · 24 Jan 2023 · Shift 1 · Integer answer

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