Water flows in a horizontal rectangular channel $5m$ wide at a depth of $0\mathrm{.}6m$ and a velocity of $12\mathrm{.}5\frac{m}{s}.$ If a hydraulic jump occurs in the channel, determine:

a$)$ The downstream depth required for the jump to form

b$)$ The horsepower dissipation in the jump

c$)$ The efficiency of the jump