Hi, I need help with this advanced math physic question. Thanks.

Two particles are produced in a high energy collision. Particle A has energy 60 GeV. an x component of momentum 40 GeV/c and a 2 component of momentum 2O GeV/c. Particle B has energy 40 GeV. an x component of momentum 20 GeV/c and a 2 component of momentum 20 GeV/c. The 1/ component of momentum for both particles is zero. (a) Write down the four-momenta, in the lab frame. of particles A and 8. Calculate the rest mass of A and the rest mass of B. (b) A and B were produced by the demy of a third particle. C. Calculate the four-momentum of C in the lab frame. and its rest mass. (c) Give the expression for the energy of a system in terms of its velocity and its rest mass. Rearrange this expression and calculate the velocity of C in units of c. (d) Use this to write down the Lorentz matrix which transforms four-momenta into the rest frame of C. (e) Use this matrix to calculate the four-momentum of A in the rest frame of C