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Classical Mechanics

Archimedes' Principle

The principle stating that any object fully or partially submerged in a fluid experiences an upward buoyant force equal to the weight of displaced fluid.

Governing formula Fb = m_fluid g = ρ_fluid V_displaced g
SI unit N

In depth

Objects float if their average density is less than fluid density (ρ_obj < ρ_fluid), sink if greater, and remain neutrally buoyant if equal.

Examples in the real world

Submarines adjusting water ballast tanks to control buoyant density and depth.