One method of producing energy is to use a tapered channel (TAPCHAN), which diverts sea water into a reservoir as shown in the figure. As a wave approaches the shore through the closed tapered channel at A, its height will begin to increase until it begins to spill over the sides and into the reservoir. The water in the reservoir then passes through a turbine in the building at C to generate power and is returned to the sea at D. If the speed of the water at A is VA = 2.5 m/s, and the water depth is h4 = 3.4 m. Assume the fluid is an ideal fluid, that is, incompressible and frictionless. (Figure 1)

A 3.5-cm-diameter pipe contains a pumping mechanism that provides a force of 320 N to push water up into a tall building. Upon entering the piston mechanism, the water is flowing at a rate of 2.5 m/s. The water is then pumped to a level 21 m higher where the other end of the pipe is open to the air. With what speed does water leave the pipe?

Water passes under a sluice gate in a horizontal rectangular channel of width 2.0 m. The depths of flow on either side of the sluice gate are 1.8 m and 0.3 m. Assuming no energy loss at the gate, calculate the force on the gate