Question

Find out the distance travelled by the block on incline before it stops. Initial velocity of the block is 10 m/s and coefficient of friction between the block and incline is $\mu =0.5$

Answer 1

$u=10m/s;\mu =0.5;v=0$
$N=mgcos{37}^{\circ }$
$\therefore mgsin{37}^{\circ }+\mu N=ma$
$a=10m/s^2$ down the incline
Now $v^2=u^2+2as$
$0={10}^2+2(-10)S$
$\therefore S=5m$
Hence,the distance travelled by the block on incline before it stops is 5m.