Question

A block is shot with an initial velocity $5m{s}^{-1}$ on a rough horizontal plane. Find the distance covered by the block till it comes to rest. The coefficient of kinetic friction between the block and plane is $0.1$.

• A. 12.5 m
• B. 22.5 m
• C. 20 m
• D. 30 m

Answer 1

The correct option is A 12.5 m

Given : $\mu =0.1$ $u=5m/s$

Retardation of the block $a=-\mu g=-0.1\times 10=-1m/s^2$

Final velocity $v=0$

Using $v^2-u^2=2aS$

Or $0-5^2=2\times (-1)\times S$

$⟹S=12.5m$