A subatomic particle of mass M at rest decays into a photon with an energy of (3/8)M moving in the +x direction and a second subatomic particle. What is the velocity v (maginitude and direction) and the mass m of this second particle? follow the steps below to solve this problem.
a) sketch the "before" and "after" situations. specify all the given parameters.
b) Write down the four-momentum column vectors of the initial particle and the final photon (in terms of M)
c) Use conservation of four-momentum and determine the second subatomic particle's four-momentum.
d) Use correct algebra and find that particle's velocity (both magnitude and direction)
e) find the second subatomic particle's mass m (expressed in terms of M).