| 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, blocks will come to rest after a time: [AIPMT (S) 2007] |
 |
A) \[\frac{v}{g\mu }\]
B) \[\frac{g\mu }{v}\]
C) \[\frac{g}{v}\]
D) \[\frac{v}{g}\]
Correct Answer: A
Solution :
| Block B will come to rest, if force applied to it will vanish due to frictional force acting between block B and surface, i,e., force applied = frictional force |
| i.e., \[\mu mg=ma\] |
| or \[\mu mg=m\left( \frac{v}{t} \right)\] |
| or \[t=\frac{v}{\mu g}\] |
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