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Buoyancy force \(\boldsymbol{F}_{\text A}\) acts on a body because it displaces the liquid of mass density \(\rho\). The buoyancy force is greater the greater the volume \(V\) displaced by the body. The volume \(V\) is thus the volume of the body (Archimedes' principle).
The falling force \(\boldsymbol{F}_{\text g} = m \, \boldsymbol{g}\) acts against the buoyancy force, where \(m\) is the mass of the body. If the buoyancy force is greater than the falling force, then the body will float out of the liquid, upward.