Hint to Riddle #89: Coffee as hot as possible.
89. Assuming you wish to drink your coffee as hot as possible, should you add the milk as soon as you make it or just before you drink it?
So Newton's Law of Cooling
Is a complicated name for something you may well have intuited already. The conclusion is that the rate of change of temperature is proportional to the difference in temperature of it and it's surroundings.So technically:
Which means the first differential with respect to time, i.e. the rate, of energy transfer is equal to some constant to do with the physical properties of the set up multiplied by the area over which the transfer occurs multiplied by the temperature difference.
But we don't really need to worry about that, sufficient to say that a body's energy is proportional to it's temperature and the rate of change of that is proportional to the difference of it's temperature and it surroundings.
Where next?
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