Question

What is the minimum stopping distance for a vehicle of mass $m$ moving with speed $V$ along a level road, if the coefficient of friction between the tyres and the road is $\mu$?

• A. $\frac{V^2}{2\mu g}$
• B. $\frac{2V^2}{\mu g}$
• C. $\frac{V^2}{\mu g}$
• D. None of these

Answer 1

The correct option is A $\frac{V^2}{2\mu g}$

As the vehicle is coming to rest, the final velocity is zero and due to friction retardation will be $\mu g$.
$0=V^2-2\mu gs\Rightarrow s=\frac{V^2}{2\mu g}$