Question: A proton and an antiproton each traveling with a momentum of 10GeV/c collide head-on in a high-energy physics experiment. The proton and antiproton have equal rest masses (938MeV/c2), and charges of opposite sign but equal magnitude.
a. What is the total energy before the collision?
b. If they collide to form a new particle, determine its momentum, charge, and rest-mass energy.
c. The new particle is unstable and decays into two pions, π+ and π-, both of which have rest masses of 140MeV/c2, and opposite but equal-magnitude charges. Find the resulting kinetic energy of each pion.