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Questions and Answers
What are the conditions for the fluid at rest in the container?
Resultant horizontal forces should be zero and the resultant vertical forces should balance the weight of the element.
What is the relationship between the pressures P1 and P2 at two different points in the fluid?
The difference in pressure (P2 - P1) multiplied by the base area (A) equals the weight of the fluid in the cylindrical element (mg).
How is the weight of the fluid in the cylinder related to the mass density (ρ) and volume (V) of the fluid?
The weight (m) of the fluid is equal to the product of mass density (ρ) and volume (V), where V = hA.
Express the relationship between pressure difference (P2 - P1) and the gravitational constant (g) in terms of mass density (ρ) and height (h) of the fluid.
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What is the significance of the pressure difference (P2 - P1) in understanding fluid behavior?
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What is the equation that relates the pressure difference (P2 - P1), gravitational constant (g), mass density (ρ), and height (h) of the fluid in the cylinder?
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What are the conditions required for the resultant horizontal forces in a fluid at rest in a container?
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How is the weight of the fluid in the cylinder related to the pressure at the top (P1A) and the pressure at the bottom (P2A)?
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What is the mass of the fluid in the cylinder expressed in terms of mass density (ρ), height (h), and base area (A) of the cylinder?
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Explain the significance of the resultant vertical forces balancing the weight of the fluid element in understanding fluid behavior.
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