1. A water jet with a flow rate of Q = 100 ft³/s is moving in the positive x-direction at 50 ft/s with a
uniform velocity. The jet splits into two, with the upper and lower portions each diverted
symmetrically by 45° as shown. The outflow velocity is uniform, and the speed is 20ft/s. All flows
are steady. Note that $p = 1.94 slug/ft^3$, and the pressures are all atmospheric (hint – no pressure
contributions...).
a) Conservation of Mass: Assume that the jet is constrained to a depth of 1 ft. What is the jet
height in the inflow and outflow sections, denoted by $h_1$ and $h_2$?
b) Conservation of Momentum: Disregarding gravitational effects, what is the x-component of force
required to hold the diverter in place?
Please define the control-volume and show all steps in solving this problem.