Final answer:
Two objects of the same volume that sink will displace the same volume of water, according to Archimedes' principle. Their differing masses will not affect the volume displaced but will affect their densities.
Step-by-step explanation:
If two objects have the exact same volume and they both sink in water, they will indeed displace the same volume of water. This is because, according to Archimedes' principle, the volume of water displaced by an object is equal to the volume of the object that is submerged. Since both objects are fully submerged and have the same volume as each other, the volume of water displaced (Vw) by both objects will be the same, regardless of their mass.
The mass of the two objects does not affect the volume of water displaced, but it does affect the density of the objects. Density is calculated as mass divided by volume. The object with more mass will have a higher density since the volumes are the same. This difference in density is what causes objects with the same volume but different masses to sink at different rates or exert different forces on the surrounding fluid if they are restrained in some way.