Problem $3)30$ points

The sluice gate in Figure below is partially opened in a $2-m$ wide channel and water passing under the gate forms a hydraulic jump. At the low level just before the jump the water depth is $0\mathrm{.}2m,$ and the measured flow is $1\mathrm{.}30\frac{m^3}{s}.$

a$)$ Determine the depth of flow in the channel farther downstream b$)$ Determine the head loss and the mechanical power that's wasted in the hydraulic jump.