Consider a $500$ kg gate underwater as shown below, hinged on point A$.$ Take the specific gravity of sea water to be $1\mathrm{.}026.$

Draw a hydrostatic pressure distribution profile on the gate. Mark the centroid of the gate and label its postion from point A$.$ Calculate the approproate center of pressure magnitude. If the gate has a width of $10$m$.$ Determine the center of pressure location and label that point with respect to A$.$ Determine the minimum force, F required to open the gate if F acts $1$m from the bottom of the gate.