A block B is pushed momentarily along a horizontal surface with an initial velocity v . If μ is the coefficient of sliding friction between B and the surface, block B will come to rest after a time

Question

A block B is pushed momentarily along a horizontal surface with an initial velocity v . If μ is the coefficient of sliding friction between B and the surface, block B will come to rest after a time <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-wf6ide11o65obsu3.jpg" /> (A) (v/g μ ) (B) (g μ /v) (C) (g/v) (D) (v/g)

Tardigrade Admin · Accepted Answer

Block B will come to rest, it force applied to it will vanish due to frictional force acting between block B and surface ie, force applied=frictional force ie, μ mg=ma or μ mg=m((v/t)) or t=(v/μ g)

Q. A block $B$ is pushed momentarily along a horizontal surface with an initial velocity $v$ . If $μ$ is the coefficient of sliding friction between $B$ and the surface, block $B$ will come to rest after a time

$\frac{v}{gμ}$

$\frac{gμ}{v}$

$\frac{g}{v}$

$\frac{v}{g}$

Block B will come to rest, it force applied to it will vanish due to frictional force acting between block B and surface $i e,$
$f orce a ppl i e d = f r i c t i o na l f orce$
$i e, μ m g = ma$
$or μ m g = m (\frac{v}{t})$
$or t = \frac{v}{μ g}$

Q. A block B is pushed momentarily along a horizontal surface with an initial velocity v . If μ is the coefficient of sliding friction between B and the surface, block B will come to rest after a time

gμv​

vgμ​

vg​

gv​