Water flows in a rectangular channel with a constant width $($b$).$ A sluice gate is placed in the channel as shown in the figure below. Specific energy and specific force curves are also provided with some necessary information. Calculate;

a$)$ the unit discharge, depths, specific energies at Sections $(1)$ and $(2),$

b$)$ the width of the channel $($b$),$ specific forces at Sections $(1)$ and $(2),$ and

c$)$ the magnitude and direction of the force of water on the sluice gate.In case you need ${}_{\text{w}\text{a}\text{t}\text{e}\text{r}}=1000k\frac{g}{m^3},v_{\text{w}\text{a}\text{t}\text{e}\text{r}}=1{10}^{-6}\frac{m^2}{s},$ and $g=9\mathrm{.}81\frac{m}{s^2}.$

Water flows in a rectangular channel with a constant width $($b$).$ A sluice gate

is placed in the channel as shown in the figure below. Specific energy and specific force

curves are also provided with some necessary information. Calculate;

a$)$ the unit discharge, depths, specific energies at Sections $(1)$ and $(2),$

b$)$ the width of the channel $($b$),$ specific forces at Sections $(1)$ and $(2),$ and

c$)$ the magnitude and direction of the force of water on the sluice gate.