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AP Physics 1
8.3 Fluids and Newton’s Laws
8.1 Internal Structure and Density
IntermediateMCQMathematicalConceptual19.8k
A porous composite cube floating in static equilibrium in a liquid.
A porous composite cube floating in static equilibrium in a liquid.
A porous composite cube of total volume \(V\) consists of a solid matrix material with uniform density \(\rho_s\) and internal hollow voids that occupy a volume fraction \(f\) of the total volume, where \(0 < f < 1\). The mass of the gas within the voids is negligible. The cube is placed in a container filled with a liquid of density \(\rho_L\) (where \(\rho_L > (1-f)\rho_s\)) and floats in static equilibrium. Which of the following expressions correctly represents the fraction of the cube's total volume that is submerged below the surface of the liquid?

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