Answer:
\[K=\frac{1}{2}m{{\upsilon }^{2}}=\frac{{{(m\upsilon )}^{2}}}{2m}=\frac{{{p}^{2}}}{2m}\] i.e., \[K\propto {{p}^{2}}\] When the momentum of a body is doubled, its kinetic energy becomes four times the initial kinetic energy.
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