$**($ solve it for fluild mechanics.$)$ A nozzle is attached to vertical pipe and discharges water into the atmosphere as shown in Fig Prob$6.$ When the Discharge is $0\mathrm{.}1\frac{m^3}{s},$ the gage pressure at the range is $40$ kPa $.$ The nozzle has a weight of $200$ N $,$ and the volume of water in the nozzle is $0\mathrm{.}012m^3,$ water density is $1000k\frac{g}{m^3}.$ please.

$(1)$ Determine the outlet flow velocity, volume flowrate and mass flux respectively.

$(2)$ Determine the vertical component of the anchoring toree required to hold the nozzle in place. Is the anchoring toree directed upward or downward.

$(3)$ If the atmosphere pressure is $101$ kPa $,$ determine the vertical component of the force exerted by water on the pipe.

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itel Szv

Prob. $6$