Water is flowing into and discharging from a pipe U-section as shown in Fig. P13-58. At fl...

Water is flowing into and discharging from a pipe U-section as shown in Fig. P13-58. At flange (1), the total absolute pressure is 200 kPa, and 30 kg/s flows into the pipe. At flange (2), the total pressure is 150 kPa. At location (3), 8 kg/s of water discharges to the atmosphere, which is at 100 kPa. Determine the total x- and z-forces at the two flanges connecting the pipe. Discuss the significance of gravity force for this problem. Take the momentum-flux correction factor to be 1.03.