Some particles are created via collisions. For instance, pionsare created via collisions
with high energy protons and carbon, which releases neutrons andpions (which they
themself, decay into muons).
Suppose two particles with momenta of p1 = (3,-1, 0, 0) kg and p2 =(2, 1, 1, 0) kg collide.
Three particles are created as a result from this collision, two ofwhich have momenta of
p3 = (1, 1, 0, 0) kg and p4 = (1,-0.5, 0, 0) kg, determine the fourmomentum, energy, rest
mass and three velocity of the third daughter particle.