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A freshwater jet boat takes in water through side vents and ejects it through a nozzle of diameter D=75 mm, the jet speed is Vj. The drag on the boat is given by F drag proportional to kV^2, where V is the boat speed. Find an expression for the steady speed, V in terms of water density and flow rate through the system of Q, constant k, and jet speed V = 10 m/s.
a) Under these conditions what is the new flow rate Q?
b) Find the value of the constant k.
c) What speed V will be produced if the jet speed is increased to Vj= 25 m/s?
d) What will be the new flow rate?
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