If the kinetic energy of a body becomes four | vedclass

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(A) The relationship between kinetic energy $E$ and momentum $P$ is given by the formula $P = \sqrt{2mE}$.Since $m$ is constant,we have $P \propto \sq

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Become twice its initial value

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(A) The relationship between kinetic energy $E$ and momentum $P$ is given by the formula $P = \sqrt{2mE}$.Since $m$ is constant,we have $P \propto \sqrt{E}$.Let the initial kinetic energy be $E_1$ and initial momentum be $P_1$. Then $P_1 = \sqrt{2mE_1}$.Let the new kinetic energy be $E_2 = 4E_1$ and the new momentum be $P_2$.Then $P_2 = \sqrt{2mE_2} = \sqrt{2m(4E_1)} = 2\sqrt{2mE_1} = 2P_1$.Therefore,the new momentum becomes twice its initial value.

If the kinetic energy of a body becomes four times its initial value,then the new momentum will

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