Why Is The Temperature At The Bottom Of The Waterfall Different Than The Temperature At The Top?

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The water gains kinetic energy as it falls down and loses its potential energy. Assuming no other losses, part of the kinetic energy gain of water is converted into heat , raising the temperature of water.
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The water loses potential energy as it drops (you=mgh), which increases the kinetic energy and raises the temp.
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As water is mixed with air on it's way down there is an evaporation that occurs.  That equates to a cooling affect, like a swamp cooler.  There are stories of Egyptians making ice by laying out thin pans of water in the night's arid breeze, super evaporation made ice.
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Anonymous commented
This would seem correct; but I was told it is actually warmer at the bottom, not cooler.

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