1. (20 points) A fun (but maybe not terribly useful) new technology/sport is flyboarding or hydroflying,...

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1. (20 points) A fun (but maybe not terribly useful) new technology/sport is flyboarding or hydroflying, which uses downward-directed jets of water or air to provide lift (think "water rocket boots"- see https://youtu.be/GuKleBtgqFM). A hose connects the flyboard to a nearby jetski or float, which contains all the pumps and equipment needed to supply a high volumetric flow rate to the flyboard. The flyboarder can then perform acrobatic aerial tricks by changing the angle of the board/jets (and in some cases, changing the volumetric flow rate of water via a remote control). The jet outflow diameter is equal to the hose diameter at DJ DH = D = 10cm. The density of water is p = 1000kg m-³. = a. What is the steady volumetric flow rate required to keep a flyboarder whose mass is m = 60kg at a constant elevation? Assume that the pressure is atmospheric around and through the water jet exiting the boots, and that viscosity and fluid weight are both negligible. Velocity is uniform in the hose and at the jet outlets). The flow from the tether hose is straight up and the jets are straight down. The gage pressure inside the hose is P = 50kPa. . b. The pump attached to the jetski has an intake at the water surface, where the pressure is atmospheric. Assuming negligible friction in the hose, and no change in the water temperature (internal energy), what is the power W required by the pump to adiabatically sustain a volumetric flow rate of = 50L·s-¹? Assume a flyboarder (not necessarily the same one as in part (a)) is hovering steadily at a height of h = 10m, and the pump intake is the same diameter as the hose. (a) Front view 1. (20 points) A fun (but maybe not terribly useful) new technology/sport is flyboarding or hydroflying, which uses downward-directed jets of water or air to provide lift (think "water rocket boots"- see https://youtu.be/GuKleBtgqFM). A hose connects the flyboard to a nearby jetski or float, which contains all the pumps and equipment needed to supply a high volumetric flow rate to the flyboard. The flyboarder can then perform acrobatic aerial tricks by changing the angle of the board/jets (and in some cases, changing the volumetric flow rate of water via a remote control). The jet outflow diameter is equal to the hose diameter at DJ DH = D = 10cm. The density of water is p = 1000kg m-³. = a. What is the steady volumetric flow rate required to keep a flyboarder whose mass is m = 60kg at a constant elevation? Assume that the pressure is atmospheric around and through the water jet exiting the boots, and that viscosity and fluid weight are both negligible. Velocity is uniform in the hose and at the jet outlets). The flow from the tether hose is straight up and the jets are straight down. The gage pressure inside the hose is P = 50kPa. . b. The pump attached to the jetski has an intake at the water surface, where the pressure is atmospheric. Assuming negligible friction in the hose, and no change in the water temperature (internal energy), what is the power W required by the pump to adiabatically sustain a volumetric flow rate of = 50L·s-¹? Assume a flyboarder (not necessarily the same one as in part (a)) is hovering steadily at a height of h = 10m, and the pump intake is the same diameter as the hose. (a) Front view