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Question

Physics Question on work, energy and power

A stationary particle explodes into two particles of masses m1 and m2 which move in opposite directions with velocities v1 and v2. The ratio of their kinetic energies E1E2\frac{E_1}{E_2} is:

A

m2m1\frac{m_2}{m_1}

B

m1m2\frac{m_1}{m_2}

C

1

D

m1v2m2v1\frac{m_1v_2}{m_2v_1}

Answer

m2m1\frac{m_2}{m_1}

Explanation

Solution

m1v1 = m2v2 (P1 = P2);
E1E2=12\frac{E_1}{E_2}=\frac{1}{2}
m1v1212m2v22\frac{m_1v_1^2}{\frac{1}{2m_2v_2^2}}=P122m1P222m2\frac{\frac{P_1^2}{2m_1}}{\frac{P_2^2}{2m_2}}=m2m1\frac{m_2}{m_1}