Question $3($Forces of submerged surfaces$)$

A lock on a channel is sealed by a gate that is $4m$ wide. The gate is perpendicular to the sides

of the lock. When the lock is used there is water on one side of the gate to depth of $3\mathrm{.}6m,$

and $2\mathrm{.}4m$ on the other side.

a$)$ What is the hydrostatic force of the two sides of the gate?

b$)$ At what height from the bed do the two forces act?

c$)$ What is the magnitude of the overall resultant hydrostatic force on the gate and what

height does it act?