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So after I drop the magnet down the tube, say I present my energy argument.
Then a student asks "How do you know that the current in the tube couldn't
cool the tube?" ...
If so, I see that I do have to use the second law now. I know that the
tube doesn't cool the same way I know that room-temperature soda cannot be
made to levitate using energy that comes from cooling the soda.
Is that the base that I've left uncovered?