9. (15 points) The figure below indicates a simplified design task for building a dam. In order to control the water level in rain seasons, a gate of 5x2 (meters) is built on the the dam's wall. It is given that the maximum hydraulic force that the gate can bear is F. Find the maximum depth at which the gate can be built. The depth of the gate Surface of water 5x2 Gate Dam is measured from the water suface to the top of the gate. You can assume that the density of the water is p and the gravitation constant is g.