Thursday, December 29, 2011
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SolutionThe monkey is pulling down on the rope hard enough to pull itself up. This increases the tension in the rope just enough to cause the weight to rise at the same rate as the monkey, since they are of equal mass.
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Of course, observe that the above summary holds for the case where the milk pot is allowed to acclimate; just treat the pot as of infinite size.
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Moral of the story: Always think of extreme cases when doing these puzzles. They are usually the key.
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Oh, by the way, if we are allowed to let the milk stand at room temperature, then let r = the corresponding exponential decay constant for your milk container.
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If we let C denote the original coffee temperature and M the milk temperature, we see that
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Of course, if you wanted to be intuitive, the answer is obvious if you assume the coffee is already at room temperature and the milk is either scalding hot or subfreezing cold.

