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Angular Momentum

A ball of mas...

Question

A ball of mass $m$ moving with velocity $v$ collides elastically with wall and rebounds. The change in momentum of the ball will be :

A

4 m v

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B

2 m v

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C

m v

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D

z e r o

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Solution

The correct option is C $2 m v$
Here, a ball of mass $m$ moving with velocity $v$ collides elastically with wall hence, momentum is
$p_{i} = m v$
The ball rebounds from wall hence, final momentum is
$p_{f} = - m v$
Change in momentum is
$Δ p = p_{i} - p_{f}$
$Δ p = m v - (- m v) = 2 m v$

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