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  4. If the momentum of a body is increased by n times, then its kinetic energy increases

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Q. If the momentum of a body is increased by n times, then its kinetic energy increases

Bihar CECEBihar CECE 2012Work, Energy and Power

Solution:

We know that, $KE =\frac{ p ^{2}}{2 m}$
i.e., $KE \propto p ^{2}$
If $p$ is increased $n$ times, then $K E$ will increased by $n^{2}$ times.