Problem

A $8-cm$ hose with a $3-cm$ nozzle discharges $1\frac{m^3}{m}in$ water to the atmosphere as shown in the figure. Water density is $1000k\frac{g}{m^3}.$ The length of the nozzle is $15cm.$ Assuming frictionless flow, determine the following:

$($a$)$ The cross sectional areas at points $1$ and $2.$

$($b$)$ The velocities at the points $1$ and $2.$

$($c$)$ The mass flow rate at points $1$ and $2.$

$($d$)$ If the volume of the nozzle $V_n=1\mathrm{.}2L,$ and its weight $W_n=0\mathrm{.}65kg,$ perform a force balance in the $x-$direction.

$($e$)$ Find the force $F_b.$