Consider a collision in which a stationary particle with
Chapter 44, Problem 44.56(choose chapter or problem)
Consider a collision in which a stationary particle with mass M is bombarded by a particle with mass m, speed v0, and total energy (including rest energy) Em. (a) Use the Lorentz transformation to write the velocities vm and vM of particles m and M in terms of the speed vcm of the center of momentum. (b) Use the fact that the total momentum in the center-of-momentum frame is zero to obtain an expression for vcm in terms of m, M, and v0. (c) Combine the results of parts (a) and (b) to obtain Eq. (44.9) for the total energy in the center-of-momentum frame.
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