A dam discharge into a channel of constant width as shown. It is observed that a region of still water backs up behind the jet to a height H. The velocity and height of the flow in the channel are given as v and h, respectively, and the density of the water is r. Using the momentum theorem and the control surface indicted, determine H. Neglect the horizontal momentum of the flow that is entering the control volume from above, and assume friction to be negligible. The air pressure in the cavity below the crest of falling water is to be taken as atmospheric. 

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