This project must be done by individuals.
For the purposes of this exercise, you may treat the neutrino and anti-neutrino as massless. In other words, they have no rest mass, but they do have energy and they do carry momentum.
An isolated neutron is not stable. It decays into three particles:
Fill in the table below:
particle mass (kg) mass (MeV/c^2) --------------------------------------------------- neutron proton electron anti-neutrino ---------------------------------------------------
Assume that the neutron is initially motionless. Suppose that after the decay, the proton is likewise motionless. The anti-neutrino, of course, can't be motionless, so it flies off at the speed of light to the right, in the positive x-direction.
(Hint: the algebra in this problem isn't trivial. Feel free to solve for the electron's speed numerically, as long as you describe your method.)
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