Pr $1150pt$ : A gate $1$ m wide and $1\mathrm{.}2$ m tall is hinged at the bottom. On one side the gate holds back a $1$ m deep body of water. On the other side a $5$ cm diameter water jet hits the gate at a height of $1$ m $.$ Assume x is positive to the right and that density is $1000k\frac{g}{m^3}.$

a$)(10$ pt$)$ Compute the hydrostatic force on the right side of the gate.

b$)(10$ pt$)$ Compute the distance of the hydrostatic force from the bottom of the water on the right.

c$)(5$ pts$)$ Draw a FBD of ALL the forces acting on the gate. The FBD should indicate the forces and their locations.

d$)(10$ pt$)$ Compute the force of the jet required to hold the gate in the vertical position.

e$)(10$ pt$)$ Compute the speed of the jet required

f$)(5$ pt$)$ Compute the reaction force, Rx at the hinge. Be clear on which direction it is