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Question 1 A pion is decaying into a muon ㅠㅠ → μ + Vμ a Assuming the pion is at rest, use energy and momentum Velocity BM of the muon. You may treat the neutrino a photon Conservation to calculate the energies Eμ and Ev Calculate the energies Eμ and Ev (calculate numerical values in MeV) of the moon and newtonno after the decay, as well as the Lorentz Factor Y and normalized and momenta of the to Frame S as massless Calculate the energies Pμ and pv of the d] Verify that the muon a neutrino as if it was b] Now, assume that the pion has an energy of ETT = 40 GeV is actually not at rest, but ·e 40000 MeV) in a frame S Calculate the horenty factor YTT of the pion and write out the Lorentz transformation mathix that moun and the energy Eμ ie it behaúcs neutrino transforms the four from part a) to the four c] Apply the Lorentz transformation matrix momenta Pμ and pv_ from part a) and thereby Eμ and Ev and momente mo muon and neutrino in frame S and momentum u OF in fram 5 still satisfy the correct relation to each other (i-e the Lorentz - invament four-vector Scalar product Pμ. PM is what it should be) e] Calculate the angles that the three-momenta Pμ and PV make with the x-axis (ie the direction of motion of pion). Compare the values with 1 and interpret YTI the results.