Fire hoses used in major structure fires have inside diameters of 6.40 cm. Suppose such a hose carries fluid with a flow rate of 40.0 L/s. The fluid pressure at ground level is 1.62 x 10^6 N/m^2. The hose goes 10.0 m up a ladder to a nozzle having an inside diameter of 3.00 cm. Assume negligible resistance. 1m^3 = 1000 L. The density of water is 1000 kg/m^3 and the density of air is 1.225 kg/m^3.
a. What is the speed of the fluid in the nozzle?
b. What is the pressure in the nozzle?