Physics

Physics

Problem

A 400 g cricket ball is moving straight towards a batsman at 30 m s⁻¹. What average force (magnitude only) must act opposite to its motion to bring the ball to rest in 0.020 s?
Intuitive explanation

This is an impulse-momentum problem: you need to find the force required to change the ball's momentum to zero in a very short time. The key insight is that force and time are linked through the impulse-momentum theorem—a large change in momentum over a short interval demands a large force. Convert the mass to kilograms, find the momentum change, then use Favg=ΔpΔtF_{\text{avg}} = \frac{\Delta p}{\Delta t} to get your answer.

Intuitive explanation

This is an impulse-momentum problem: you need to find the force required to change the ball's momentum to zero in a very short time. The key insight is that force and time are linked through the impulse-momentum theorem—a large change in momentum over a short interval demands a large force. Convert the mass to kilograms, find the momentum change, then use Favg=ΔpΔtF_{\text{avg}} = \frac{\Delta p}{\Delta t} to get your answer.

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