Answer to Question #190551 in Classical Mechanics for Nahom

Question

Two bodies of masses M1 and M2 have equal energies.If P1 and P2 are their respective momentum,compute P1/P2.

Answer 1

$E_1=E_2\implies\frac{m_1v_1^2}{2}=\frac{m_2v_2^2}{2}\implies \frac{v_1}{v_2}=\sqrt{\frac{m_2}{m_1}},$

$\frac{p_1}{p_2}=\frac{m_1v_1}{m_2v_2}=\frac{m_1}{m_2}\cdot \sqrt{\frac{m_2}{m_1}}=\sqrt{\frac{m_1}{m_2}}.$