# Do denser objects generally move down towards the "centre" (where $F_g = 0$) of a gravitational field relative to a less dense object?

Background( What I think is happening for fluids)

Hello, I am high school student currently investigating buoyancy.

Consider a dense liquid such as honey added to a less dense liquid such as water. In this case, I would presume that there is force upwards(buoyant force) due to the difference in pressure. For the less dense liquid, the resulting acceleration is higher than the resulting acceleration on the denser liquid as a consequence of Newton's second law as the mass of the dense object is large relative to the force acting on it( which is proportional to the volume occupied by the fluid) The dense object has a net force downwards due to gravity while the buoyant force is larger than the force of gravity on the less dense object. This is what I presume to be why a dense fluid sinks when immersed in a less dense fluid.

Question

Consider now a jar containing two types of solids spheres, one denser than the other, all of uniform size ( about the size of a marble) and shape(spherical). They are randomly distributed. The jar is shaken vigorously while maintaining its upright position. Do the marbles sort themselves according to density with the densest marbles on the bottom? If so why?

I don't see a plausible mechanism for this myself, so I would assume not, but the conclusion seems counterintuitive, that a system of fluids would act differently from a system containing solids.

• Commented Mar 24, 2020 at 20:43
• Particle separation by shaking concerns itself with size-based separation, I am looking for an explanation based on density since all the entities are of the same shape and size as mentioned in the question. Commented Mar 24, 2020 at 21:35
• If you have access to a set of similarly sized objects made of different materials I would just do the experiment. Commented Mar 25, 2020 at 16:40