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A jet of water leaves the nozzle at the end of a hose. The area and absolute pre

ID: 1818907 • Letter: A

Question

A jet of water leaves the nozzle at the end of a hose. The area and absolute pressure inside the hose are A1 and p1 and the area and absolute pressure of the jet leaving the nozzle are A2 and p2. The absolute air pressure is atmospheric pressure. A control volume for the nozzle is shown with dotted lines. What is the correct statement for the net forces exerted by the pressure on the control volume?
1. p1 x A1 - p2 x A2
2. p1(A1 - A2)
3. p1 x A1 - p2 x A2 - Patm x A1
4. p1 x A1 - p2 x A2 - Patm (A1 - A2)
5. p1 x A1 - p2 (A1 - A2)

Explanation / Answer

the net force on control volume is p1A1 - p2A2 - patm(A1-A2) which is option D

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