Calculate Temperature at Bottom of 100m Waterfall: Help Needed!

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To calculate the temperature at the bottom of a 100m waterfall, the gravitational potential energy (PE) of the water at the top, given by mgh, is converted into kinetic energy (KE) as it falls. This KE is then transformed into thermal energy, which raises the temperature of the water. Using the formula ΔKE = mcΔt, where c is the specific heat of water, allows for the calculation of the temperature increase. The initial temperature at the top is 12℃, and the change in temperature can be determined from the energy conversion. Thus, the final temperature at the bottom can be calculated based on these principles.
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A waterfall is 100m high and the temperature of the water at the top is 12℃.Assume that all the kinetic energy of the water reaching the bootom is changed into internal energy. Find the temperature of water at the bottom of the waterfall.
I don't know how to calculate~ Help me please and expaining particularly~ Thank you!
 
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kurtlau said:
A waterfall is 100m high and the temperature of the water at the top is 12℃.Assume that all the kinetic energy of the water reaching the bootom is changed into internal energy. Find the temperature of water at the bottom of the waterfall.
I don't know how to calculate~ Help me please and expaining particularly~ Thank you!
At the top, the water has gravitational PE = mgh (with respect to the bottom). That PE transforms into KE as it falls. Finally, the KE is transformed into thermal energy. ΔKE = mcΔt, where c is the specific heat of water (look it up!).
 

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