3. A particle of rest mass m moving in the x direction at a speed of c/3 abruptly decays electromagnetically, yielding two photons. From the perspective of the home frame, the photon moving in the positive x direction is more energetic than the photon moving in the negative x direction. - (a) Determine the energies and frequencies of both photons in the rest frame of the decaying particle. - (b) Using Lorentz transformations, determine the energies and frequencies of both photons emitted in the decay in the home frame. Show that the sum of the energies of the two photons as determined in the home reference frame is ymc2, where y is calculated for ẞ=1/3. In terms of energy conservation, why is this an expected result?