A gate is \(1 \mathrm{~m}\) wide and \(1.2 \mathrm{~m}\) tall and hinged at the bottom. On one side the gate holds back a 1-m-deep body of water. On the other side, a \(5-\mathrm{cm}\) diameter water jet hits the gate at a height of \(1 \mathrm{~m}\). What jet speed \(V\) is required to hold the gate vertical? What will the required speed be if the body of water is lowered to \(0.5 \mathrm{~m}\) ? What will the required speed be if the water level is lowered to \(0.25 \mathrm{~m}\) ?

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V Water jet 1 m P4.59