$6.$ Problem $3(20$ points$)$

The nozzle is attached to a pipe with a thread connection. At the exit of the nozzle, the water forms a free jet. The diameter of the pipe is $30$ mm $,$ the diameter of the nozzle exit is $12$ mm $,$ the nozzle length is $110$ mm $,$ and the mass of the nozzle is $0\mathrm{.}4$ kg $.$ The nozzle is oriented vertically. What force will be exerted on the thread connection when the flow through the nozzle is $\backslash (20\backslash$mathrm$\{$~L$\}/\backslash$mathrm$\{$min$\}\backslash )?$

Note: you know the dimensions of the nozzle and can estimate the weight of water in the nozzle.

Figure $6$: Vertical nozzle