Electrodynamics and Relativity. Please Help!!!! 1. The problem statement, all variables and given/known data Consider the decay of a particle. (a) Find the threshold kinetic energies of the incident particles in each of the following reactions: (i) ∏+ + p →∏++ ∏° + p (ii) p + n →p + n + ∏° + ∏° The incident particle is the first particle listed in the reactions; the target particle is at rest. The masses of the ∏+ and ∏° ions are 139.567MeV/c2 and 134.963 MeV/c2 respectively while the masses of the neutron and proton are respectively 939.566 MeV/c2 and 938.272 MeV/c2. 2. Relevant equations The teacher suggested that I will need to use the following equations to get the solution (Here P is the momentum and Px is the momentum of the incident particle ∏+in the X direction, assuming it hits the target particle p(proton) horizontally, so no P(momentum) in y or z direction) ƩPiu=0 PuPu=m2c2= E2/C2-P2 Also said that using this notations will be useful to solve the problem For ∏+, the incident particle: Pu=(E/C, Px, 0, 0) Pu=(E/C, -Px, 0, 0) where Px is the momentum of the incident particle, and no need to worry about y and z direction so just put zeros. 3. The attempt at a solution This is what I have done so far to solve for part i, but I have no clue how to continue. Since we are solving for the threshold kinetic energy, so assuming that ∏+, ∏° and p are at rest after the reaction. (E/C, Px, 0, 0) +(mpC2, 0, 0, 0) - (m∏+C2,0, 0, 0 ) -(m∏°C2,0, 0, 0 ) - (mpC2,0, 0, 0 ) = 0 mp, m∏+, m∏° are just the rest mass. PLEASE PLEASE help me to do this problem!!! thank you so much!