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Oblique Collision

n balls each ...

Question

n balls each of mass m impinge elastically each second on a surface with velocity u. The average 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

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Solution

The correct option is B
2 mnu

Change in momentum of one ball =2 mu, time taken = 1 s

$F_{a v} = \frac{Total change in momentum}{Time taken} = \frac{n (2 m u)}{1} = 2 m n u$

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