Find the change in momentum of a body when its kinetic energy becomes 4 times the original value
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let p = momentum and ke= kinetic energy
![p = \sqrt{2 \times ke \times m} p = \sqrt{2 \times ke \times m}](https://tex.z-dn.net/?f=p+%3D++%5Csqrt%7B2+%5Ctimes+ke+%5Ctimes+m%7D+)
i.e. p is directly proportional to
![\sqrt{ke} \sqrt{ke}](https://tex.z-dn.net/?f=+%5Csqrt%7Bke%7D+)
so new p = (4)^(1/2) = root 4 =2
so momentum increases 2 times
i.e. p is directly proportional to
so new p = (4)^(1/2) = root 4 =2
so momentum increases 2 times
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