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Question

Two perfectly elastic balls of same mass m are moving with velocities u1andu2. They collide head on elastically n times. The kinetic energy of the system finally is :

A
12mnu21
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B
12mn(u21+u22)
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C
12m(u21+u22)
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D
12mn(u21+u22)
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Solution

The correct option is B 12m(u21+u22)
Under all collisions momentum is conserved.
Under elastic collisions, even Kinetic energy is conserved.
So the final KE after 'n' collisions would be the same as the initial.
KE=12(m)(u21+u22)
Option C is correct.

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