27. A particle has a total energy of 5 GeV and a linear momentum of 3 GeV/C in a frame S. What is its energy in a frame S, in which its momentum is 4 GeV/c? What is its rest mass in atomic mass units? What is the relative velocity of the two frames S, and S,? Hint: I, = 1.25; T, = /2; v, = 0.6 c; v, = (Ans. 4 2 GeV; 4.3 amu; 0.186 C) 28. Show that a relativistic particle of kinetic energy T and rest mass m, has a momentump given by pc = (T + 2Tmoc)2. Show that this gives p = mov when T < moc?. Determine pc in units of kinetic T energy T when = (a) 0.020 (b) 0.20 (c) 2.00 and (d) 20. moc? 1/2 2 Hint: pc = T 1+ (Ans. (a) T(101)2; (b) T(11)2; (c) T/2; (d) T(1.1)2) TIm,c2