A ball of mass m is moving normally towa...

A ball of mass `m` is moving normally towards a walll of mass `M(gt gt m)` with the velocity `4 m//s`. The wall is also moving. After striking elastically with the wall , velocity of ball becomes `8 m//s`. Find the speed of the wall:

`4 m//s`

`2 m//s`

`2 sqrt2 m//s`

`4 sqrt2 m//s`

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Verified by Experts

The correct Answer is:

Let `V` be the velocity of ball. Relative velocity of separation = relative velocity of approach. `8 - V = 4 + V`, if wall is moving towards left `V = 2m//s` towards left and `87 xx V = 4 - V`, if wall is moving towards right `V = - 2 m//s = 2 m//s` toward left.

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