Question

A motor cycle and a car are moving on a horizontal road with the same velocity. If they are brought to rest by the application of brakes, which provided equal retarding forces, then

• A. motorcycle will stop at shorter distance
• B. car will stop at a shorter distance
• C. both will stop at the same distance
• D. nothing can be predicted

Answer 1

Answer: (C)

both will stop at the same distance

Since,car has larger inertia so,car will take a longer distance than bike to stop.

Also, by Work Energy theorem,

$Fx=\frac{M{v}^2}{2}$,which gives a direct dependence of $x$ on $M$.