# Kinetic energy ofneutron and nucleus

A neutron in a nuclear reactor makes an elastic head-on collision with the nucleus of a uranium atom initially at rest.

(a) What fraction of the neutron's kinetic energy is transferred to the uranium nucleus? (The mass of the uranium nucleus is about 238 times the mass of the neutron.)

(b) If the initial kinetic energy of the neutron is 1.6 10^13 J, find its final kinetic energy and the kinetic energy of the uranium nucleus after the collision.

J (neutron)

J (carbon nucleus)

https://brainmass.com/physics/energy/kinetic-energy-ofneutron-and-nucleus-41217

#### Solution Preview

Let

m1= mass of neutron

m2= mass of uraniun nucleus

v1i= initial velocity of neutron

v1f= final velocity of neutron

v2i = initial velocity of uranium nucleus

v2f = final velocity of uranium nucleus

Since the collision is elastic , Kinetic energy before the collision and after the collision are the same

From the conservation of momentum

m1v1i + m2v2i = m1v1f + m2v2f

From the conservation of Kinetic ...

#### Solution Summary

The solution calculates the fraction of the neutron's kinetic energy that is transferred to the uranium nucleus when a neutron in a nuclear reactor makes an elastic head-on collision with the nucleus of a uranium atom initially at rest. It also calculates the final kinetic energy of the neutron and the kinetic energy of the uranium nucleus after the collision.