A lock on a channel is sealed by a gate that is $4$ m 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 $3\mathrm{.}6$ m$,$

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

a$)$ What is the hydrostatic force of the two sides of the gate? $(4$ marks$)$

b$)$ At what height from the bed do the two forces act? $(2$ marks$)$

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

height does it act? $(4$ marks$)$