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A particle of mass m is projected toward...

A particle of mass m is projected towards a wall such that the angle of incidence is `theta` and the speed just before collision is u. Assuming that the wall is smooth and the collision is elastic, show that the ball rebounds at same angle.

Text Solution

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The situation shown in figure. As the collision is elastic,thereis no loss of energy and hence speed of rebound is same.

The contact forrce between thewall and ball is along the normal, as friction is absent. So the magnitude ofmomentum of ball along the wall must not change
Now,v=u (No loss of energy)
Also `v sinphi=usintheta`(Noforce along the wall)
`theta=phi`
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