A hydraulic engineer wants to analyze steady flow in a rectangular channel featuring a hydraulic jump immediately downstream from a sluice gate that is open to a vertical clearance of \(3 \mathrm{ft}\). The flow depth upstream from the sluice gate \(8.7 \mathrm{ft}\), and the flow velocity beyond the sluice gate and prior to the hydraulic jump is \(21.6 \mathrm{ft} / \mathrm{s}\). Assume that the flow upstream from the sluice gate is subcritical. Find:

(a) The discharge in the channel;

(b) The flow depth before and after the hydraulic jump;

(c) The flow velocities upstream from the sluice gate and beyond the hydraulic jump;

(d) The energy loss rate in the hydraulic jump;

(e) The force the sluice gate exerts on the fluid.

How does this compare with the force computed assuming a hydrostatic pressure distribution?