QUESTION 3 The Fermilab Tevatron, a circular particle accelerator in the United States, can accelerate a proton p to an energy of E. ~ 1TeV = 10 2ev (as measured in the lab frame S) The energy of a proton at rest is moc' = 1GeV = 10eV a) Determine the speed of the proton p, in units of c b) What is the momentum of the proton? 13 c) What is the kinetic energy of the proton? 3 d) Take the direction of velocity of the proton to be in the positive a-direction Write down the four-momentum [P~] for the proton e) Show that the total energy E and the relativistic momentum p of a particle are related by E' = p'c' + mack 16)