CHOICE $2($Excel$)$:

A given terminal structure of a spillway is a rectangular stilling basin with a width of $3m.$ The depth of water at this location is $y1=0\mathrm{.}5m$ for a flow rate of $10\frac{m^3}{s}.$ Determine the sequent depth, $y_2,$ critical depth, $y_c,$ and energy loss, $h_L$ for a hydraulic jump. Answer the following questions based on your calculations:

a$.)$ Does a hydraulic jump occur? Explain.

b$.)$ Calculate all variables again for various channel width values. When does a hydraulic jump occur?

c$.)$ Develop a graph showing the relationship between energy loss and channel width. What channel width results in the greatest energy loss?

d$.)$ Describe the relationship between energy loss and channel width. What is the rationale for this trend? Include at least $1$ citation in your discussion.

e$.)$ Discuss when an engineer would design a hydraulic jump, the challenges of designing a hydraulic jump, and the benefits. Include at least $1$ citation in your discussion.