A model sluice retains water $($compare figure below$).$ Given area the width of the sluice $($normal to

the sheet of paper$)b=0\mathrm{.}2m,$ the volume flow rate $Q=6*{10}^{-3}\frac{m^3}{s},$ the water depth upstream

$y_0=0\mathrm{.}18m$ and the water depth downstream $y_U=0\mathrm{.}025m.$

a$)$ Compute the horizontal force that a person should apply to the sluice to maintain it at rest.