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Question: A truck and a car are moving with equal velocity. On applying the brakes both will stop after certai...

A truck and a car are moving with equal velocity. On applying the brakes both will stop after certain distance, then

A

Truck will cover less distance before rest

B

Car will cover less distance before rest

C

Both will cover equal distance

D

None of these

Answer

Car will cover less distance before rest

Explanation

Solution

Stopping distance =Kinetic energyRetardins6muforce=12mu2F= \frac{\text{Kinetic energy}}{\text{Retardins}\mspace{6mu}\text{force}} = \frac{\frac{1}{2}mu^{2}}{F}

If retarding force (F) and velocity (v) are equal then stopping distance ∝ m (mass of vehicle)

As mcar<mtruckm_{\text{car}} < m_{\text{truck}} therefore car will cover less distance before coming to rest.