Final answer:
An object will sink if its weight is greater than the buoyant force. The buoyant force is determined by the weight of the fluid displaced by the object, as per Archimedes' principle.
Step-by-step explanation:
An object will sink if its weight is greater than the buoyant force acting on it. According to Archimedes' principle, the buoyant force on an object in a fluid equals the weight of the fluid it displaces. Therefore, if the object's weight is more than the weight of the fluid displaced, the buoyant force will be insufficient to keep the object afloat, causing it to sink. Conversely, if the buoyant force is greater than the object's weight, the object will float, and if the buoyant force equals the object's weight, the object will remain neutrally buoyant at that particular depth.