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Flows through one pipe section at 4 m/s and then through a second pipe section at 8 m/s. Which section has the greater pressure? Which principle is being applied?

Options:
A. The first section has greater pressure, and Bernoulli's principle is being applied.
B. The second section has greater pressure, and the conservation of energy principle is being applied.
C. The second section has greater pressure, and Bernoulli's principle is being applied.
D. The first section has greater pressure, and the conservation of momentum principle is being applied.

1 Answer

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Final answer:

The slower moving section at 4 m/s has greater pressure based on Bernoulli's principle, making option A the correct answer.

Step-by-step explanation:

The section where the fluid flows at a slower speed, which in this case is 4 m/s, will have a greater pressure compared to the section where the fluid flows at a higher speed of 8 m/s. According to Bernoulli's principle, there is an inverse relationship between the speed of the fluid and pressure within the flow of an incompressible fluid without viscosity. Thus, the first section with a flow speed of 4 m/s has a greater pressure than the second section, making option A correct: The first section has greater pressure, and Bernoulli's principle is being applied.

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