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Momentum and Kinetic Energy

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Two bodies one light and other heavy have equal momentum.Which of them has higher kinetic energy?

(Aajma Manoj asked)

Answer:

The lighter body will have greater kinetic energy.

Explanatiom

Momentum, p=mv

squaring both sides, p2 = m2v2

Kinetic Energy = 1/2 mv2 = p2/2m

Therefore, for bodies of equal momenta, kinetic energy is inversely proportional to mass.

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