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A fountain in a pond draws water from the base of the pond, passes it through...

A fountain in a pond draws water from the base of the pond, passes it through a pump with ?? = 25 ?, and along a pipe of length L=3 m, diameter D=15 cm and friction factor f=0.03. The pipe has three 90deg bends (?? = 0.8) before passing through a contraction nozzle (?? = 0.5 based on the upstream velocity) such that the diameter of the outlet nozzle is d=5 cm. The flow then leaves the nozzle moving in a vertical direction as a free jet at the height of the pond surface. Calculate the height of the fountain above the pond surface.

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