What is the mass (in kg) of the Z0 ? What is the ratio of the mass of the Z0 to the mass of the proton?

1. In ATLAS, a proton with energy 6.5 TeV (6.5 × 101²eV) collides with another proton of the sam energy moving in the opposite direction. The proton mass is 938 MeV/c² (938 × 10ºeV/c²). a. Find the proton speed (in natural units). It will be very close to 1. e b. Write the total 4-momentum of the two-proton system in terms of the proton energy E.

3) The new Earth-Pluto SuperShuttle boasts that it can take you between the two planets, which are 5.0 hours apart in 2.5 hours (according to your watch). What time interval is measured by people in the Earth-Pluto frame? What is the shuttle's speed?

An unstable particle of mass 3.34 x 10-27 kg is  initially at rest. The particle decays into two fragments that moves along the x-axis. one of the fragment moves to the left (m1) with velocity 0.868c and the other fragment moves to the right (m2) with velocity 0.987c. i) Write the energy conservation equation of the decay. ii) Write the momentum conservation equation of the decay. iii) Find the masses of the two fragments.