The vertical gate in a water channel is partially open, as in Fig. P3.52. Assuming no change in water level and a hydrostatic pressure distribution, derive an expression for the streamwise force Fx on one-half of the gate as a function of (ρ,h,w,θ,V1). Apply your result to the case of water at 20°C, V1=0.8 m/s, h=2 m, w=1.5 m, and θ=50°.