To determine which statement could be true based on the conditions given in your scenario, we need to consider that the ping pong ball-shaped object (Object 1) is floating, while Object 2 sinks. This indicates a difference in buoyancy, which is influenced by the density of the objects relative to the liquid.
Key concepts:
- An object floats if its density is less than the density of the liquid.
- An object sinks if its density is greater than the density of the liquid.
- For two objects to displace the same volume of liquid, they need to have equal volumes or occupy the same volume in the liquid.
Analysis:
- Object 1 floats: This means Object 1 has a density less than that of the liquid.
- Object 2 sinks: This means Object 2 has a density greater than that of the liquid.
Given that Object 1 has more water in its bowl means it is experiencing a buoyant force from the water equal to the weight of the water displaced. Conversely, Object 2, with less water in the bowl, will exert a lesser buoyant force.
For each mass comparison option:
- Object 1 has a mass of 450 g, and Object 2 has a mass of 150 g. (This is unlikely since Object 1 is significantly heavier and would likely sink.)
- Object 1 has a mass of 200 g, and Object 2 has a mass of 200 g. (This is unlikely as well since both would have the same density, causing neither to float nor sink differently.)
- Object 1 has a mass of 150 g, and Object 2 has a mass of 450 g. (This is possible as Object 1 can have a lower density to float and Object 2 can have a higher density to sink.)
- Object 1 has a mass of 550 g, and Object 2 has a mass of 550 g. (This is unlikely as both would have the same density, causing neither to float nor sink differently.)
Conclusion: The only logically sound statement that could be true, given the conditions described, is: Object 1 has a mass of 150 g, and Object 2 has a mass of 450 g.