Two objects of different shapes, sizes, and materials, are floating in water (density 1000 kg/m³). Object A floats with 60% of its volume submerged, while object B floats with 50% of its volume submerged. What can be concluded about the densities ρ_A and ρ_B of the two objects? A) ρ_A ρ_B C) ρ_A = ρ_B D) Not enough information

Question

Two objects of different shapes, sizes, and materials, are floating in water (density 1000 kg/m³). Object A floats with 60% of its volume submerged, while object B floats with 50% of its volume submerged. What can be concluded about the densities ρ_A and ρ_B of the two objects? A) ρ_A < ρ_B B) ρ_A > ρ_B C) ρ_A = ρ_B D) Not enough information

Quizplus · Accepted Answer

The density of an object floating in a fluid is proportional to the fraction of its volume submerged. Since object A has a greater fraction of its volume submerged (60%) compared to object B (50%), object A has a higher density than object B.

Two Objects of Different Shapes, Sizes, and Materials, Are Floating