A neutron in a star makes an elastic head-on collision with a carb on nucleus initially at rest. The mass of the carbon nucleus is 12 times the mass of the neutron mn = 1.7 ×10^−27kg. The initial kinetic energy of the neutron is 1.6 × 10^−13J. a) Show that the final speed of the carbon nucleus, Vc, is given by (see image) where vn is the initial speed of the neutron.

A neutron in a star makes an elastic head-on collision with a carb on nucleus initially at rest. The mass of the carbon nucleus is 12 times the mass of the neutron mn = 1.7 ×10^−27kg. The initial kinetic energy of the neutron is 1.6 × 10^−13J. a) Show that the final speed of the carbon nucleus, Vc, is given by (see image) where vn is the initial speed of the neutron.