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The phase-space, a graph of momentum against position, shows a trajectory of a particular system and any point on this trajectory gives a microstate of a particular macrostate; given the Energy of the system is constant... I think this is roughly true, correct me where I'm wrong please!

However the question concerns a ball bouncing between two walls placed at positions ±q, the ball interacts elastically with the walls and travels at a constant velocity. Therefore the energy is constant and magnitude of the momentum is conserved.

So I reckon the Phase-Space of such a system would simply be a straight line from -q to +q at a particular momentum p and also the same line at -p (for the ball bouncing back in the opposite direction)

Would this be correct? If not any help would be appreciated!

Cheers,

Tom

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# Phase-Space of a bouncing ball

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