Which of the following describes the relationship between an object's buoyancy and its weight?

The relationship between an object's buoyancy and its weight is described by the principle of buoyancy, which is also known as Archimedes' principle. This principle states that the upward buoyant force that is exerted on a body immersed in a fluid is equal to the weight of the fluid that the body displaces.

When an object's weight increases, the fluid it displaces also increases, resulting in a corresponding increase in buoyant force acting on the object. However, if the weight of the object surpasses the buoyant force, the object will sink. Therefore, in scenarios where the weight of an object increases while submerged, it is the relationship of buoyancy to this weight that ensures the object either floats or sinks based on whether the buoyant force can support the object’s weight.

This understanding establishes that buoyancy is intricately linked to weight; as weight increases, the potential for buoyancy also increases, though it is crucial to note that buoyancy must still meet or exceed the weight for the object to float. Thus, the correct choice reflects the fundamental principles of fluid mechanics and the relationship of buoyant force to displaced weight.