If all the mechanical energy is converted into heat that stays in the water. 0.21˚C rise in temperature occurs in a 90.0 m waterfall.
The total kinetic and potential energy is known as mechanical energy. According to the principle of mechanical energy conservation, mechanical energy is constant in an isolated system when only conservative forces are acting on it.
The mechanical energy of water is converted into heat energy.
P.E = mgh = m x 9.8 x 90.0
P.E = 882 m.
Let rise in temperature θ
Heat energy = mass × specific heat × temperature change
Heat energy = m x s x θ
specific heat = 4186 J/(Kg *˚C)
m x s x θ = 882 m
m x 4186 x θ = 882 m
θ = 0.21˚C.
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