Water flows in a rectangular channel shown below. The bump has a maximum value,

$$zmax$,$ above which choking would occur. The water depth above the bump is y$1=0\mathrm{.}80$ m$.$ A

hydraulic jump occurs behind the sluice gate.

a$)$ If the water depth just under the gate is y$4=0\mathrm{.}40$ m$,$ find the head loss through the jump.

b$)$ Find the value of $$zmax$.$

c$)$ Find the force per width on the sluice gate.

d$)$ Show all the depths on the specific energy curve given$\mathrm{.}35$p$-$Q$\mathrm{.}2)$ Water flows in a rectangular channel shown below. The bump has a maximum value,

$z_{\text{m}\text{a}\text{x}},$ above which choking would occur. The water depth above the bump is $y_1=0\mathrm{.}80m.$ A

hydraulic jump occurs behind the sluice gate.

a$)$ If the water depth just under the gate is $y_4=0\mathrm{.}40m,$ find the head loss through the jump.

b$)$ Find the value of $z_{\text{m}\text{a}\text{x}}.$

c$)$ Find the force per width on the sluice gate.

d$)$ Show all the depths on the specific energy curve given.