Question

# A ball moving with a speed of 30 m/s hits the wall and bounces back with same speed. The contact time between the ball and the wall is 0.1 s. Calculate the force exerted by the wall on the ball if mass of the ball is 0.25kg.

A
0 N
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B
- 100N
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C
- 300N
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D
- 150N
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E
100N
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Solution

## The correct option is C - 150NGiven : v=30 m/s t=0.1 s m=0.25kgThe ball bounces back with same speed after hitting the wall. Thus change in its momentum ΔP=mv−(−mv)=2mv=2×0.25×30=15 kg.m/sUsing ΔP=|F|t∴ 15=|F|×0.1 ⟹|F|=150 NThus the force exerted by the wall on the ball F=−150 N

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