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

Work, Energy & Power

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Answer

Kinetic energy (KE) and momentum (p) are related as

KE=p22mKE = \dfrac{p^2}{2m} \\[0.5em]

As both masses have the same momentum p. The kinetic energy k is inversely proportional to the mass of the body.

Hence, a body of light mass has more kinetic energy as smaller the mass, larger is its kinetic energy.

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