# Buoyancy Force and Density

I am doing a practice problem about buoyancy force. If there are two objects, (one made of wood and one made of metal), and we hold them underwater, will the buoyancy force of both objects stay the same? That's what I believe at least.

• It depends on their volume... – Floris Jul 25 '17 at 1:04
• @AB408 Why do you believe that? What does the applicable physics say? What makes you question it? – Bill N Jul 25 '17 at 3:15

Yes the buoyant force is the same. The buoyant force is defined as the weight of the water displaced or $\rho V g$, where $\rho$ is the fluid density and $V$ is the volume displaced. Because the amount of water displaced is the same for each object (I assume you are stating that they have the same volume), the buoyant force is the same for both.