QUESTION 3 A subatomic particle called a pion (7) decays into a muon () that moves in the positive I-direction and a neutrino () that moves in the negative r-direction The reaction can be written as For this question, assume that the neutrino is massless, that is m, = 0, and that the pion was at rest in the laboratory reference frame just before it decayed Give your answers to the questions below in terms of the masses of the pion m, and muon my a) Find the the momentum and energy of all three particles in the laboratory frame (13) b) Write down the four-momenta of the three particles in the laboratory frame (6) c) Show that the four-momentum of the system was conserved (4) d) Suppose the muon has a speed of V = c(m? -m) / (m, + m;) What is the Lorentz factor between the laboratory frame and the muon's rest frame? (4) e) What is the energy of the neutrino in the muon's rest frame? (5) [32]