A light body and a heavy body have the same k | vedclass

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

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The heavy body has greater momentum.

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

$A$ light body and a heavy body have the same kinetic energy. Which one has a greater momentum?

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