Final answer:
The magnitude of the buoyant force on an object fully immersed in a fluid is determined by the weight of the fluid it displaces, a principle formulated by Archimedes.
Step-by-step explanation:
The magnitude of the buoyant force on an object that is completely immersed in a fluid depends on the weight of the displaced fluid. This concept is described by Archimedes' principle, which states that the buoyant force is equal to the weight of the fluid that the object displaces. For an object to float, rise, or remain suspended, the buoyant force must be greater than, equal to, or less than the object's weight, respectively.
When an object is completely submerged, the space that the object occupied would be filled with fluid if the object were removed. Importantly, the weight of this fluid is supported by the surrounding fluid, indicating that the buoyant force on the object is indeed the weight of the displaced fluid.