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(A) The relationship between kinetic energy $(K)$ and momentum $(p)$ is given by $K = \frac{p^2}{2m}$,where $m$ is the mass of the object.From this,we

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Double its initial value

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(A) The relationship between kinetic energy $(K)$ and momentum $(p)$ is given by $K = \frac{p^2}{2m}$,where $m$ is the mass of the object.From this,we can write $p = \sqrt{2mK}$.Let the initial kinetic energy be $K_1$ and the initial momentum be $p_1 = \sqrt{2mK_1}$.Let the new kinetic energy be $K_2 = 4K_1$.The new momentum $p_2$ is given by $p_2 = \sqrt{2mK_2} = \sqrt{2m(4K_1)}$.$p_2 = \sqrt{4} 	imes \sqrt{2mK_1} = 2 	imes p_1$.Therefore,the new momentum is double its initial value.

If the kinetic energy of an object becomes four times its initial value,what will be its new momentum?

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