A flat plate sluice gate with a width of $2\mathrm{.}5m$ and a length of $4\mathrm{.}0m$ closes the opening

of the waterway as in Figure $1.$ Calculate the maximum height of the water, $h$ while the

gate is still closed. The construction of the sluice gate is assumed to be homogeneous

with a mass of $16{10}^{3}kg.$

rigure $1$