A dam on a river is built so that the wall facing the water is shaped like the region above the curve $y=0.2 x^2$ and below the line $y= 200$. All distances are measured in meters. The water level is $20\text{m}$ below the top of the dam. The gravitational acceleration is $g = 9.8\text{m/s}^2$ and the density of water is $\rho = 1000\text{kg/m}^3.$ Find the hydrostatic force exerted on the dam.

Answer (in Newtons):