A sluice gate, which controls flow rate in a channel by simply raising or lowering a vertical plate, is commonly used in water irrigation systems A force on the gate due to the difference between the water heights Y1 and Yz and the flow velocities Vi and Vz upstream and downstream from the gate, respectively. For simplicity we may assume inviscid (frictionless) water flow. Obtain the horizontal force exerted by the flow on the vertical plate if y1 =10 ft and Yz = 3 ft: Take width of the sluice gate (into the page) to be w =5 ft Sluice gate Vz'