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Question

n small balls, each of mass m, impinge elastically each second on a surface with velocity u. The force experienced by the surface will be


A

mnu

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B

2 mnu

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C

4 mnu

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D

12 mnu

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Solution

The correct option is B

2 mnu


Since the collision is elastic, the balls rebound with the same speed. Therefore, the change in momentum of each ball = 2mu.
The change in momentum per second due to n balls = 2mnu. But the change in momentum per second is the force. Hence, the correct choice is (b).


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