buoyant force
Summary
Buoyant force is the upward force a fluid exerts on an object in it. By Archimedes' principle, it equals the weight of the fluid displaced, so it depends on fluid density and displaced volume. For a given displaced volume it ignores the object's mass; a floating object's buoyant force equals its weight.
Detail
Meaning: Pressure increases with depth, so the upward push on the bottom of a submerged object exceeds the downward push on its top; the net is the buoyant force. Archimedes' principle says it equals the weight of the displaced fluid. An object floats at rest when Fb balances its weight, and a fully submerged object sinks if its weight exceeds Fb.
Equation: Fb = ρfluid V g, where Fb is the buoyant force (N), ρfluid is the fluid density (kg/m³), V is the volume of fluid displaced, equal to the submerged volume of the object (m³), and g is 9.8 m/s².
On the MCAT: Questions ask whether an object floats or sinks, or how much of it is submerged. A floating object has Fb = mg, so the submerged fraction equals ρobject/ρfluid. Apparent weight in a fluid is true weight minus Fb. Expect fresh-versus-salt-water comparisons.
Common confusion: Students think a heavier object feels a bigger Fb. For a given submerged volume, Fb does not depend on the object's mass or material. A floating object, however, settles until Fb equals its weight, so a heavier floating object displaces more fluid and feels a larger Fb.
Sources
- Physics (Giancoli)
- Physics (Cutnell and Johnson)
- University Physics (Young and Freedman)
Written for the MCAT and checked before it was published. For study reference only. Spotted an error? Let us know.