Buoyant Force with Variable Density
A small object is completely submerged in a fluid at depth h. If the density of the fluid increases linearly with depth according to ρ(y) = ρ₀(1 + αy), where y is measured from the surface and α is a constant, what is the buoyant force on the object of volume V?
A
ρ₀(1 + αh)gV
B
ρ₀(1 + αh/2)gV
C
ρ₀(1 + α)gV
D
ρ₀gV
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