Two one-dimensional, ideal-gas particles Consider two ideal-gas particles with masses mA and mB, confined to a onedimensional box of length L. Assume that the particles are in thermal equilibrium with each other, and that the total kinetic energy is E = EA + EB. Use the usual assumption that the probability is uniform in phase space, subject to the constraints.
1. Calculate the probability distribution P(EA) for the energy of one of the particles.
2. Calculate the average energy of the particle, A>.
3. Find the most probable value of the energy EA (the location of the maximum of the probability density).