Question

A light mass and a heavy mass have equal momentum. Which will have more kinetic energy and why?

Answer 1

Answer:

Since both have same momentum the lighter one has high velocity according to the equation p=mv,

Therefore lighter body has higher kinetic energy because K=p²/2m

Answer 2

Answer:

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Momentum is given by mass of the body times its velocity since given that both heavy and light body have same momentum, the heavier body will have to maintain a lower velocity in order to compensate its mass and make the momentum equal, now therefore the lighter body has to maintain a huge velocity, the kinetic energy of a body is given by 0.5*mass times its velocity squared therefore the lighter body will have more kinetic energy.

Hope it will be helpful :)