Consider the following statement: The magnitude of the buoyant force is equal to the weight of fluid displaced by the object. Under what circumstances is this statement true?

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Answer:

Buoyant force enables the objects to float. So if the object is completely or partially immersed in the fluid then the magnitude of the buoyant force is equal to the weight of the fluid displaced by the object.

Explanation:

The magnitude of the buoyant force is equal to the weight of the fluid displaced by the object is true if - For every object submerged partially or completely in a liquid.

Buoyant Force

When a rigid object is submerged in a fluid (completely or partially), there exists an upward force on the object that is equal to the weight of the fluid that is displaced by the object.

  • This is known as Archimedes's principle.

[tex]F_{b}=-\rho g V[/tex]

[tex]F_{b}[/tex] = buoyant force

[tex]\rho[/tex] = fluid density

g = acceleration due to gravity

V = fluid volume

  • If an object is submerged partially or completely in the fluid then the fluid is displaced is equal to the magnitude of the buoyant force.

Thus, The magnitude of the buoyant force is equal to the weight of the fluid displaced by the object is true if - For every object submerged partially or completely in a liquid.

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