Water flows at a speed v of 2.00 m/s through a hose of radius 3 cm and

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Question:

Water flows at a speed v of 2.00 m/s through a hose of radius 3 cm and into a large empty rectangular pool. The pool has a level bottom and measures 10.0 m long by 8.00 m wide. The density of water is 1.00 x 10^3 kg/m^3 and atmospheric pressure is 1.01 x 10^5 Pa. Express all numerical answers to the following parts to at least three significant figures and show all work.

A) Calculate the total pressure exerted downward on the bottom of the pool after the water has been running for 3 hours.

B) Instead of a radius of 3 cm, the radius or the new hose is 1.5 cm. Assume the speed of the water in the hose remains at 2.00m/s. Calculate the speed of the water as it leaves the nozzle. Explain how your calculation is consistent with conservation principles.