Water $($density of $1000k\frac{g}{m^3})$ flows through

the nozzle shown in the figure on the right. The

area of the inlet $(1)$ and exit $(2)$ are $1m^2$ and

$0\mathrm{.}25m^2,$ respectively. The velocity at the inlet

$(1)$ is $20\frac{m}{s}$ and the water exits the nozzle at

an angle of $40$ as shown in the figure. Find the

horizontal force $F_x$ that is holding the vane

stationary using the control volume and

coordinates system defined in the figure.

Neglect the effect of gravity and assume the

pressure difference between the inlet and exit

of the control volume to be negligible.