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 μ, then the stopping distance is

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

Answer 1

Answer: (D)

$\frac { P ^ { 2 } } { 2 \mu m ^ { 2 } g }$

Answer 2

$S = \frac { u ^ { 2 } } { 2 \mu g } = \frac { m ^ { 2 } u ^ { 2 } } { 2 \mu g m ^ { 2 } } = \frac { P ^ { 2 } } { 2 \mu m ^ { 2 } g }$