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What is the relationship between buoyant force and density of a liquid?

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Quick Answer

Buoyant force is directly proportional to the density of a liquid or any fluid in general. This relationship can be represented by the equation Fb = dgv, where "Fb" denotes the buoyant force, "d" indicates the density of a fluid, "g" represents the acceleration due to gravity and "v" is the volume of the submerged object.

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Full Answer

Matter is characterized by its rest mass and the volume it occupies. One of the properties of matter is density, which refers to how tightly packed or spread out the molecules of a material are. The density, which is a unique and useful identifier for various substances, is calculated by dividing the mass of an object by its volume.

Another property of matter that is relative to another substance is buoyancy. The Greek philosopher Archimedes formulated the concept that any object immersed in a fluid experiences an upward or opposing force, which is equivalent to the displaced amount of fluid. The upthrust that works against the weight of the submerged object is called the "buoyant force."

The buoyant force increases with the density of the fluid where an object is submerged. The higher the density of the fluid, the higher the buoyant force. A piece of metal that sinks in water could float in mercury, with mercury being denser than water.

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