If both objects displace the same volume of liquid and they are submerged at the same level in the liquid, this indicates that they have the same buoyant force acting on them, which is equal to the weight of the liquid displaced by the spheres.
According to Archimedes' principle, the buoyant force is equal to the weight of the fluid displaced by an object. If both spheres displace the same volume of liquid, they exert the same buoyant force. However, the weight of the spheres (mass times the acceleration due to gravity) needs to be compared to the buoyant force.
Given this context, multiple scenarios can be true, but they must ensure that the weight of the submerged object is less than or equal to the buoyant force in the liquid.
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Object 1 has a mass of 450 g, and Object 2 has a mass of 150 g. - This could be true if the buoyant force on each object is sufficient to keep them both afloat.
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Object 1 has a mass of 200 g, and Object 2 has a mass of 200 g. - This could also be true. Both objects would experience the same buoyant force since they have displaced the same volume of liquid.
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Object 1 has a mass of 150 g, and Object 2 has a mass of 450 g. - This could be true as well since both objects still experience an equal buoyant force.
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Object 1 has a mass of 550 g, and Object 2 has a mass of 550 g. - This scenario is likely not true if they are both submerged and at the same level in the liquid, as it suggests that both objects are too heavy for the buoyant force to support them at that level.
Based on this analysis, the following could be true:
- Object 1 has a mass of 450 g, and Object 2 has a mass of 150 g.
- Object 1 has a mass of 200 g, and Object 2 has a mass of 200 g.
- Object 1 has a mass of 150 g, and Object 2 has a mass of 450 g.
So, the correct options can be options 1, 2, and 3. However, without further context, it’s important to note that ultimately the specific masses would depend on the buoyancy conditions provided by the liquid and the object densities.