WHAT IS the relation between the Buoyant force and the weight of an object floating in a liquid?
The buoyant force is equal to the weight of the liquid displaced by the object. When an object floats in a liquid, it displaces a volume of liquid equal to its own volume, and the buoyant force acting on the object is equal to the weight of this displaced liquid, which is equal to the weight of the object. This is why the object stays afloat.