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Standard IX

Physics

Second Law of Motion

Two bodies ha...

Question

Two bodies having kinetic energies $K_{1}$ and $K_{2}$ have equal masses. Their momenta are $P_{1}$ and $P_{2}$ respectively, then $P_{1}$ / $P_{2}$ is

K_{1} : K_{2}

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K_{2} : K_{1}

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\sqrt{K_{2}} : \sqrt{K_{1}}

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\sqrt{K_{1}} : \sqrt{K_{2}}

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Solution

The correct option is D $\sqrt{K_{1}} : \sqrt{K_{2}}$
The kinetic energy $K$ = $\frac{{P_{1}}^{2}}{2 m}$ or $K \propto P^{2}$ .
So, $\frac{P_{1}}{P_{2}} = (\frac{K_{1}}{K_{2}})^{\frac{1}{2}}$ .

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Two bodies having kinetic energies K1 and K2 have equal masses. Their momenta are P1 and P2 respectively, then P1/P2 is

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The kinetic energy $K$ = $\frac{{P_{1}}^{2}}{2 m}$ or $K \propto P^{2}$ .
So, $\frac{P_{1}}{P_{2}} = (\frac{K_{1}}{K_{2}})^{\frac{1}{2}}$ .