Answer to Question #205743 in Mechanics | Relativity for Nax

Question #205743

The fission of uranium nuclei in a nuclear reactor produces high speed neutrons. Before a neutron can trigger additional fissions, it has to be slowed down by collisions with carbon nuclei in the moderator of the reactor. Suppose a neutron with mass of 1.0u travelling at 2.0x107m/s undergoes a head-on elastic collision with a carbon nucleus with mass of 12u initially at rest. Calculate the velocities of the neutron and carbon after the collision.



1
Expert's answer
2021-06-11T11:21:36-0400

Let us write the conservation of momentum law:

where

Due to elastic collision, the energy is conserved, so

or .

So we have a system of equations

We solve these equation by substituting into the second equation and get .


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