Can any object have momentum even

Question:

Can any object have momentum even if its mechanical energy is zero? Explain.

Solution:

Mechanical energy $=\mathrm{K} . \mathrm{E} .+\mathrm{P} . \mathrm{E} .=0 .$ Since, $\mathrm{K} . \mathrm{E} .=0$, so momentum $=0\left(\because \mathrm{K} . \mathrm{E}=\frac{p^{2}}{2 m}\right)$

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