A closed system consists of two particles of masses `m_1` and `m_2` which move at right angles to each other with velocities `v_1` and `v_2`. Find:
(a) the momentum of each particle and
(b) the total kinetic energy of the two particles in the reference frame fixed to their centre of inertia.

Answer

`"["(m_(1)m_(2))/(m_(1)+m_(2))sqrt(v_(1)^(2)+v_(2)^(2)),(1" "m_(1)m_(2))/(2m_(1)+m_(2))(v_(1)^(2)+v_(2)^(2))"]"`