A neutron in a nuclear reactor forms an elastic, head-on collision with the nucleus of the carbon atom primarily at rest.
(i) Determine what fraction of the neutron's kinetic energy is transferred to the carbon nucleus? (The mass of carbon nucleus is around 12.0 times the mass of the neutron.)
(ii) The primary kinetic energy of the neutron is 2.70 x 10-13 J. Determine its final kinetic energy and the kinetic energy of the carbon nucleus following the collision.