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Instantaneous Force and Impulse

A ball of mas...

Question

A ball of mass m strikes a rigid wall with speed u and rebounds with the same speed. The impulse imparted to the ball by the wall is:

A

2mu

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B

mu

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C

Zero

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D

-2mu

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Solution

The correct option is D -2mu
The situation is as shown in the figure.
$p_{i n i t i a l} = m u, p_{f i n a l} = - m u$
Impulse imparted to the ball = change in momentum
= $p_{i n i t i a l} = m u, p_{f i n a l} = - m u - m u = - 2 m u$

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