An object has momentum p and kinetic energy E | vedclass

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(D) The relationship between kinetic energy $E$ and momentum $p$ for an object of mass $m$ is given by $E = \frac{p^2}{2m}$.When the momentum becomes

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$4E$

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(D) The relationship between kinetic energy $E$ and momentum $p$ for an object of mass $m$ is given by $E = \frac{p^2}{2m}$.When the momentum becomes $p' = 2p$,the new kinetic energy $E'$ is given by:$E' = \frac{(p')^2}{2m} = \frac{(2p)^2}{2m} = \frac{4p^2}{2m}$.Substituting $E = \frac{p^2}{2m}$ into the equation for $E'$,we get:$E' = 4 	imes \left( \frac{p^2}{2m} ight) = 4E$.Therefore,the new kinetic energy will be $4E$.

An object has momentum $p$ and kinetic energy $E$. If its momentum becomes $2p$,then its kinetic energy will be:

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