A neutron in a reactor makes an elastic head-on collision with a nitrogen atom that is initially at rest. (The mass of the nitrogen nucleus is about 14 times that of the neutron.)

(a) What fraction of the neutron's kinetic energy is transferred to the nitrogen nucleus?
(b) If the neutron's initial kinetic energy is 2.44 10-13 J, find its final kinetic energy and the kinetic energy of the nitrogen nucleus after the collision.

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