Question $1$

For the figure shown below, find the horizontal force exerted on the gate $($denoted by the gray shaded

region$).$ Assume that fresh water is the liquid on the left side of the gate. The hatched regions in the

figure are the walls and do not move. The dimensions are as follows: $H_u=10ft.,H_g=4ft.,H_l=4ft.,$

$W_g=8ft.$

Side view

Front view

$3,490$ pounds

$23,960$ pounds

$47,920$ pounds

$69,890$ pounds