The kinetic energy of a light body and a heav | vedclass

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(B) The relationship between kinetic energy $K$ and momentum $p$ is given by $K = \frac{p^2}{2m}$,where $m$ is the mass of the body.Rearranging this f

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Heavy body

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(B) The relationship between kinetic energy $K$ and momentum $p$ is given by $K = \frac{p^2}{2m}$,where $m$ is the mass of the body.Rearranging this formula,we get $p = \sqrt{2mK}$.Since the kinetic energy $K$ is the same for both bodies,the momentum $p$ is directly proportional to the square root of the mass,i.e.,$p \propto \sqrt{m}$.Therefore,the body with the larger mass will have a greater momentum.Thus,the heavy body has greater momentum.

The kinetic energy of a light body and a heavy body is same. Which one of them has greater momentum?

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