First slide

Newton's laws of motion

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

Moderate

A

mnu
B

2 mnu
C

4 mnu
D

mnu/2

Solution

Change in momentum of one ball = 2 mu, time taken = 1 s
$F_{av} = \frac{Total change in momentum}{Time taken} = \frac{n (2 m u)}{1} = 2 mnu$

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