A block `B` is pushed momentarily along a horizontal surface with an initial velocity `v` . If mu is the coefficient of sliding friction between `B` and the surface, block `B` will come to rest after a time:

Options

A. `(v)/(g mu)`
B. `(g mu)/(v)`
C. `(g)/(v)`
D. `(v)/(g)`

Answer

A

Explanation

Block B will come to real, if force applied to it will vanish due to frictional force acting between block B and surface i.e.
Force applied = Fractional Force
`mumg=ma`
`mumg=m((v)/(t))`
`t=(v)/(mug)`