Two bodies having the same linear momentum have a ratio of k... | Physics | SolveeIt

Two bodies having the same linear momentum have a ratio of kinetic energy as 16:9. Find the ratio of masses of these bodies.

$\frac{9}{16}$

$\frac{4}{3}$

$\frac{3}{4}$

$\frac{16}{9}$

Answer

$\frac{9}{16}$

Explanation

The correct option is (A): $\frac{9}{16}$

$\frac{P^2}{2m}=K$

$\Rightarrow \frac{K_1}{K_2}=(\frac{m_2}{m_1})=\frac{16}{9}=(\frac{m_2}{m_1})$

$\Rightarrow (\frac{m_1}{m_2})=\frac{9}{16}$

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