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