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  4. If kinetic energy is doubled, find fractional change in momentum :

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Q. If kinetic energy is doubled, find fractional change in momentum :

Rajasthan PMTRajasthan PMT 2006Laws of Motion

Solution:

$ KE =\frac{p^{2}}{2 m} \Rightarrow KE \propto p^{2}$
$\Rightarrow \frac{p_{2}}{p_{1}}=\sqrt{\frac{ KE _{2}}{ KE _{1}}}=\sqrt{2}$