To determine which of the options could be true based on the behavior of the two objects in the liquid, we need to consider the principles of buoyancy and density.
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Object 1 is floating: This indicates that the density of Object 1 is less than the density of the liquid. Since it displaces a volume of liquid equal to its own weight, it must weigh less than the liquid it displaces.
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Object 2 is sinking: This means that the density of Object 2 is greater than the density of the liquid. It has to displace a volume of liquid equal to its own weight as well, which makes it heavier than the liquid it displaces.
Now, let's analyze the options one by one:
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Object 1 has a mass of 200 g, and Object 2 has a mass of 200 g.
- If both objects have the same mass, the floating object (Object 1) would not weigh less than the liquid it displaces. This cannot be true.
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Object 1 has a mass of 150 g, and Object 2 has a mass of 450 g.
- Object 1 (150 g) is less dense than the liquid (floating), and Object 2 (450 g) is denser than the liquid (sinking). This is a plausible scenario.
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Object 1 has a mass of 450 g, and Object 2 has a mass of 150 g.
- Here, Object 1 (450 g) cannot float if it weighs more than the liquid it displaces, which is contradictory. This cannot be true.
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Object 1 has a mass of 550 g, and Object 2 has a mass of 550 g.
- Again, if both have the same mass, the floating object would not float because it would have to weigh less than the liquid it displaces. This cannot be true.
Based on the analysis, the correct and plausible option is:
Object 1 has a mass of 150 g, and Object 2 has a mass of 450 g.