Water flows through a horizontal pipe of radius 40.0 cm that is located 20.0 m below the surface of a large lake next to a dam. The end of the pipe is connected to a nozzle of radius 10.0 cm, and the outlet end of the nozzle is open to the atmosphere. Assuming that lake is rectangular with verticals walls and that the water behaves as an ideal fluid, find: (a) the speed with which the water leaves the nozzle (b) the water pressure inside the pipe

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