Problem $1(5$ points$)$

Water flows steadily through the nozzle discharging to the atmosphere. The mass of the fluid in the pipe and section of the pipe extending from the flange is $100$ kg $.$ The height from the centerline of the horizontal pipe to the center of the nozzle is $70$ cm $.$ Neglect frictional effects and assume uniform velocity profiles.

Determine at the joint:

a$)$ The gage pressure.

b$)$ The horizontal component of the force, $\backslash ($ R$\_\{$x$\}\backslash ).$

c$)$ The vertical component of the force, $\backslash ($ R$\_\{$y$\}\backslash ).$