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A block B is pushed momentarily along a ...

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:

A

`(v)/(g mu)`

B

`(g mu)/(v)`

C

`(g)/(v)`

D

`(v)/(g)`

Text Solution

Verified by Experts

The correct Answer is:
A
Block B will come to rest, if force applied to it will vanish due to friction acting between block B and surface i.e. force applied = frictional force
i.e. `mu mg = ma` or `mu mg = m ((v)/(t))`
or `t = (v)/(mu g)`
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