A neutron with mass m makes a head-on, elastic collision with a nucleus of mass M, which is intitially at rest.

a.) If the neutrns initial kinetic energy is K1, determine how much kinetic energy it loses durfing the collision.

b) Forf what value of M does the incident neutron lose the most energy? Mathematical proof required.

c) When M has the value calculate in part b), what is the speed of the neutron after the collision?