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A) Water moves in a pipe that has a diameter of 34 cm at 1 m/s,...

A) Water moves in a pipe that has a diameter of 34 cm at 1 m/s, but then the pipe reduces to a diameter of 16 cm. Find the velocity of the water in the smaller portion of the pipe.

B) Water in a hose with an area of 186 mm2 moves at 4 m/s, but then you cover part of the opening of the hose with your finger, and the water shoots out faster at 26 m/s . Find the area of the opening between your finger and the end of the hose in mm2.

C) Water moves in a pipe from the ground up to a height of 10 m. At the bottom of the pipe the water has a velocity of 1 m/s. As the pipe goes up it reduces in diameter and at the top of the pipe it has a velocity of 14 m/s and a pressure of 280000 Pa. Find the necessary pressure at the bottom of the pipe to deliver the water to the top. (density of water = 1000 kg/m3 )

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