The potential energy associated with the given mass equals 1814.98 kilo Joules.
Step-by-step explanation:
We know that for a object of mass 'm' standing at a height of 'h' meters above the surface of earth the potential energy associated with the object is given by
where
'g' is acceleration due to gravity.
Since it is given that mass of 1 cubic meter of water is 1000 kilograms that the mass associated with given quantity of water is also 1000 kilograms since the volume is 1 cubic meter.
Then by similar substitutions, you can easily find that you end up with
Of course, this all assumes that the integrand is continuous over the domain of integration, which would require that are chosen such that for any . If in particular , then we can write