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The kinetic energy of a light body and a heavy body is same. Which one of the following statements is CORRECT?
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The correct answer is:
The heavy body has greater momentum.
Kinetic energy,
$\mathrm{k}=\frac{1}{2} \mathrm{my}^{2}=\frac{(\mathrm{mv})^{2}}{2 \mathrm{~m}}=\frac{\mathrm{p}^{2}}{2 \mathrm{~m}}$
or $\mathrm{p}=\sqrt{2 \mathrm{mk}}$ i.e., $\mathrm{p} \propto=\sqrt{\mathrm{m}}$
Thus the heavier body has a greater momentum than the lighter one.
$\mathrm{k}=\frac{1}{2} \mathrm{my}^{2}=\frac{(\mathrm{mv})^{2}}{2 \mathrm{~m}}=\frac{\mathrm{p}^{2}}{2 \mathrm{~m}}$
or $\mathrm{p}=\sqrt{2 \mathrm{mk}}$ i.e., $\mathrm{p} \propto=\sqrt{\mathrm{m}}$
Thus the heavier body has a greater momentum than the lighter one.
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