Problem $2.$ A metal container is placed on a scale. The container has one port on the top and two

outlets on the bottom. The bottom of the container has an internal cross$-$sectional area of $2m^2,$

and a mass of $5$ kg when empty. Incompressible water $(=1000k\frac{g}{m^3})$ flows through the top of

the container at $3\frac{m}{s}$ and exits out of the openings. The top port and side ports have an area of

$A=0\mathrm{.}1m^2.$ The height of the water stays constant at $1\mathrm{.}75$ m $.$ What is the reading on the scale?

a$)(2$ pt$.)$ What is the velocity of fluid out of one of the side ports?

b$)(2$ pt$.)$ Define a control volume and identify relevant gravity and reaction force on the

control volume. Draw velocity and normal vectors on the control surface identifying the

influx and efflux of mass and momentum.

c$)(4$ pt$.)$ Write a basic equation for the transport of fluid in the system to solve for the force

on the scale in units of $[$N$].$

d$).$