1. The problem statement, all variables and given/known data For a fast moving particle, its momentum and energy are frequently easier to measure than its velocity. a) Show that the factor of beta (as defined by β=v/c), can also be determined by measuring the ratio of relativistic momentum (p) and total energy (E). b) Sketch, qualitatively, β as a function of p. (p is between 0 and infinity). You could choose a specific range of the momentum (in GeV/c), and assume the mass of the particle to be 1GeV/c2 . The shape and limit (for p=0 and infinity) of the function must be shown. c) Think about, how would the mass of the particle change the curves? 2. Relevant equations E = γ*m*c^2 P = γ*m*u β = u/c 3. The attempt at a solution P/E = β/c ------> β = c/E * P this results in a linear relationship between β and P which I know isn't right. can anybody point me in the right direction?