To solve this problem it is necessary to apply the concepts concerning the conservation of both potential and thermodynamic energy of the body. That is to say that as the body has a loss of potential energy it is gained in the form of thermal energy on water. If the potential energy is defined as
Where,
m= mass
g = Gravitational acceleration
h = Height
And thermal energy is obtained as
Where,
= Change in Temperature
Specific Heat
m = Mass
We can equate this equation and rearrange to find the change at the Temperature, then
Our values are given as,
Specific Heat Water
Using energy conservation
Replacing,
Therefore the temperature increase in a 1kg sample of water is 1.89K