3) [20 points] Two equal mass particles (of mass m) scatter elastically with a scattering angle...

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3) [20 points] Two equal mass particles (of mass m) scatter elastically with a scattering angle a in the center of mass frame. Show that the scattering angle in a frame where one particle is at rest and the other has energy E is given by Cos cos /2 = 1 E-mc E+mc sin 2 Comment on the nonrelativistic and extreme relativistic limits. (2) 3) [20 points] Two equal mass particles (of mass m) scatter elastically with a scattering angle a in the center of mass frame. Show that the scattering angle in a frame where one particle is at rest and the other has energy E is given by Cos cos /2 = 1 E-mc E+mc sin 2 Comment on the nonrelativistic and extreme relativistic limits. (2)