A water delivery system was designed to deliver water from a water tank to an outlet, as shown on the right figure. The tank was open to the atmosphere. The outlet was controlled by a gate connected to a hinge. Calculate the force needed to apply to the gate to stop the water from following out of the outlet. The sizes in the vertical plane are plotted on the figure. The width of the system (the size 20 m Water 8 m 1 m 3 m 8 m Hinge F into the page) is 2 meters. The water density is 1000 kg/m and g=9.8 m/s. Please state all assumptions clearly. (25 points)