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How about this case: A guy on roller skates pushes off from a rigid wall. System = man. Any work done on the system? Does his internal energy change?
Further, in the real world, the guy will get a bit hotter if he does this several times. Any heat transferred to or from him (on short timescales)?
Howdy,
Of course there has been work done on the guy! He pushes against the wall with a certain force. Therfore (Newton's 2nd Law) the wall MUST push against him with an equal and opposite force so work is being done on Him.