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Question

Two cars A and B have masses mA and mB respectively, with mA>mB. Both the cars are moving in the same direction with equal kinetic energy,. If equal braking force is applied on both, then before coming to rest

A
A will cover a greater distance
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B
B will cover a greater distance
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C
Both will cover the same distance
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D
Distance covered by them will depend on their respective velocities
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Solution

The correct options are
C Both will cover the same distance
D Distance covered by them will depend on their respective velocities
Using second equation of motion in reverse direction s=ut+12at2
Distance covered by cars before coming to rest =12at2
where, a=acceleration=Fm
t=time=va=vmF
So, Distance covered=12at2=12(Fm)(vmF)2=mv22F

Since, FA=FB and mAv2A=mAv2A
Distance covered by both cars are equal and it depends on their velocities.
Therefore, c and d are correct option.

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