A block $B$ is pushed momentarily along a horizontal surface with an initial velocity $V$. If $\mu$ is the…

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.
  1. $\frac{g \mu}{V}$
  2. $\frac{g}{V}$
  3. $\frac{V}{g}$
  4. $\frac{V}{g \mu}$

Solution

By using $v=u+a t$ $\begin{aligned} 0 & =v-\mu g t \\ \Rightarrow \quad t & =\frac{V}{\mu g} \end{aligned}$

Asked in: NEET 2007

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