Water of density ρ=998.2 kg/m flows through a fireman's nozzle—a converging section of pipe that accelerates the flow. The inlet diameter is d1= 0.100 m, and the outlet diameter is d2 = 0.050 m. The average velocity, momentum flux correction factor, and gage pressure are known at the inlet (1) and outlet (2). (a) Write an expression for the horizontal force Fx of the fluid on the walls of the nozzle in terms of the given variables. (b) Verify your expression by plugging in the following values: β1 = 1.03, β2 = 1.02, V1 = 4 m/s, P1,gage =123,000 Pa, and P2,gage =0 Pa.