A 6m high, 4m wide rectangual gate is located at the end of an open freshwater tank. The gate is hinged at the top and held in place by a force F. The pressure is proportional to the depth of the water, and the average pressure exerted on the gate by the water is where the change in p is the difference in pressure between the bottom of the gate and the surface. the resulting force of the water on the gate is where A is the area of the gate the water acts upon. The resulting force acts 2m from the bottom of the gate because the pressue increases with depth. Determine the force required to hold the gate in place.