3. (35 pts) The 280 kg, 6 m wide (into the page) rectangular gate is hinged at B and leans against the floor at A making an angle of 45 with the horizontal. The gate is to be opened from its lower edge by applying a normal force F at its center. Determine the minimum force F required to open the water gate, where water = 1000 kg/m* and g = 9.81 m/sec. 0.5 m B Water 3 m F 450 A