Question

Five solid objects made of different materials are placed in a large tub of pure water ( ρ = 1000 kg/m3 ). The objects are cubes made of (1) balsa wood ( ρ = 120 kg/m3 ), (2) ice ( ρ = 917 kg/m3 ), (3) aluminum ( ρ = 2700 kg/m3 ), (4) iron ( ρ = 7860 kg/m3 ), and (5) gold ( ρ = 19300 kg/m3 ). All five objects have the same MASS. The objects are released in the water and allowed to reach some equilibrium position. Note that some of the objects will float, while others will sink. Which, if any, of the following statements is/are true?

Answer 1

The balsa wood cube will float.
The buoyant force on the aluminum cube will be greater than the buoyant force on the iron cube.
None of the cubes will have neutral buoyancy.
All five cubes will be of equal volume.
The aluminum cube will displace the most water.
The ice cube will displace its own volume in water.
The largest buoyant force will be exerted on both the balsa wood cube and the ice cube.
The smallest buoyant force will be exerted on the gold cube.