A neutron with kinetic energy T = 2moc2, where mo is its rest mass, strikes another, stationary, neutron. Determine:
(a) The combined kinetic energy T of both neutrons in the frame of their centre of inertia and the momentum p of each neutron in that frame;
(b) The velocity of the centre of inertia of this system of particles.
Instruction. Make use of the invariant E2- p2c2 remaining constant on transition from one inertial reference frame to another (E is the total energy of the system, p is its composite momentum).