A stationary particle breaks into two parts of masses m_A and m_B which move with velocities v_A and v_B respectively. The ratio of their kinetic energies (K_B: K_A ) is :

Step-by-step solution

Initial momentum is zero. aligned & Hence | P _ A |= | P _ B | & m _ A v _ B = m _ B v _ B & ( KE )_ A ( KE )_ B = 1 2 ~m _ A v _ A ^2 1 2 ~m _ B v _ B ^2 = v _ A v _ B & ( KE )_ B ( KE )_ A = v _ B v _ A aligned