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Question

A truck and a car are moving with equal velocity. If equal retarding force is applied to each of them on applying the brakes, both will stop after a certain distance. Then


Your Answer
A
Truck will cover less distance before rest
Correct Answer
B
Car will cover less distance before rest
Your Answer
C
Both will cover equal distance
Your Answer
D
Cannot be determined

Solution

The correct option is B Car will cover less distance before rest
Using 3rd equation of motion, 
v2u2=2as

Putting v=0,
u2=2as (negative sign in a cancels negative sign with u)

And putting a=fm, where f is retarding force
Stopping distance s=u2m2f
The mass of the truck is greater than that of the car. Hence when velocity is the same, then the car will cover less distance as the stopping distance is directly proportional to mass.
Hence, the correct option is (b).

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