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If it matters, the particular system I'm interested in is that of a submerged particle in a fluid. Does the frictional coefficient of the particle to the surface depend on the amount of water above it? My intuition tells me two things:

a) that a particle that is even

*slightly*more positively buoyant (with respect to the fluid) will float to the top regardless of how much fluid is on top of it, and

b) the frictional coefficient is not dependent on the amount of fluid above it (pushing a penny at the bottom of a pool and at the bottom of a beaker requires an identical amount of work).