A block P is pushed momentarily along a horizontal surface with an initial velocity u if `mu` is the coefficient of sliding friction betweeen p and the horizontal surface then calculate the time taken by the block to attain the state of rest

Options

A. `gmu`
B. `(u)/(mug)`
C. `muug`
D. `(mu)/(g)`

Answer

b

Explanation

initial velocity u=u`
final velocity v=0
` t= 0`
` v= u + at `
` 0 = u + at `
`0 = u - mu gt " " therefore a=- mu g `
` u= mu g t`
` therefore t= ( u) /(mu g )`