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

`mu = (f)/(N) = (ma)/(mg) = (a)/(g)`
`implies` Retardation , a = `mu` g
Using , v = u + at , 0 = v `- mu` gt
`t = (v)/(mu g)`