A neutron can decay into a proton, an electron, and an electron antineutrino. The antineutrino has a very, very small mass (we will take it to be zero).
a. If the neutron is at rest originally, how much energy is it possible for the three decay particles to have? The mass of the proton is 1.6726 x 10-27kg, the mass of the neutron is 1.6749 x 10-27kg, and the mass of the electron is 9.1094 x 10-31kg. Explain
b. If thepanti-?e= 3.1 x 10-22kg m/si-hat, the electron momentum ispe= 2.4 x 10-22kg m/sj-hat, and the antineutrino kinetic energy is 9.3 x 10-14J. What is the kinetic energy of the proton and the electron? Explain.
c. Would any of the decay particles (proton, electron, and electron antineutrino) be relativistic? Explain how you would find out.