Question

A vehicle of mass $ m $ is moving on a rough horizontal road with momentum $ p $ . If the coefficient of friction between the tyres and the road be $ \mu $ , then the stopping distance is

• A. $ \frac{p}{2\mu mg} $
• B. $ \frac{{{p}^{2}}}{2\mu mg} $
• C. $ \frac{p}{2\mu {{m}^{2}}g} $
• D. $ \frac{{{p}^{2}}}{2\mu {{m}^{2}}g} $

Answer 1

Answer: (D)

Stopping distance
$s=\frac{u^{2}}{2 \,\mu g}=\frac{m^{2}\, u^{2}}{2\, \mu g m^{2}}=\frac{p^{2}}{2 \mu m^{2}\,g}$