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A small block of mass m and a concave mi...

A small block of mass m and a concave mirror of radius R fitted with a stand lie on a smooth horizontal table with a separation d between them. The mirror together with its stand has a mass m. The block is pushed at t = 0 towards the mirror so that it starts moving towards the mirror at a constant speed V and collides with it. The collision is perfectly elastic. Find the velocity of the image (a) at a time `t lt d/V,` (b) at a time `t gt d/V`.

A

`(-R^(2)V)/([2(d-Vt)-R]^(2)),V[1+(R^(2))/([2(Vt-d)-R]^(2))]`

B

`(R^(2)V)/([2(d+Vt)+R]^(2)),V[1+(R^(2))/(2[Vt-d-R]^(2))]`

C

`(-R^(2)V)/([2(d-Vt)+R]^(2)),V[1-(R^(2))/([2(Vt-d)+R]^(2))]`

D

`(-R^(2)V)/([(d-Vt)-R]^(2)),V[1-(R^(2))/([2(Vt+d)-R]^(2))]`

Text Solution

Verified by Experts

The correct Answer is:
A
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