A uniform solid sphere of radius `r` is rolling on a smooth horizontal surface with velocity `v` and angular velocity `omega = (v=omega r)`. The sphere collides with a sharp edge on the wall as shown in figure. The coefficient of friction between the sphere and the edge `mu=1//5`. Just after the collision the angular velocity of the sphere becomes equal to zero. The linear velocity of the surface just after the collision is equal to

Options

A. `V`
B. `V/5`
C. `(3v)/5`
D. `(2V)/5`

Answer

A

Explanation

`intNdt`
`-intNdt=-mV'-(mV)......(1)`
`muRintNdt=2/5mR^(2)(V/R)......(2)`
From eqns,. (1)and (2), we get
`intNdt=2mV` and `V'=V`