Question

A block of weight 10 N is shot with an initial velocity $5m{s}^{-1}$ on a rough horizontal plane. Find the distance covered by the blocks till it comes to rest. The coefficient of kinetic friction between the block and plane is $0.1$.

• A. 12.5m
• B. 25m
• C. 5m
• D. 50m

Answer 1

The correct option is A 12.5m

By applying energy conservation;

Work done by frictional force = Kinectic Energy

$\mu \left(10N\right)\times x=\frac{1}{2}m{v}^2$

$0.1\left(10x\right)=\frac{1}{2}.\left(\frac{10}{g}\right)(5{)}^2$

$x=\frac{1}{2}\times 25=12.5cm$