Subjects physics

Water Rise

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Water Rise


1. The problem involves understanding the impact of dropping a pot into a bathtub filled with water and predicting how much the water level will rise. 2. Student A claims the water will rise a lot because the pot has a volume of 4 litres (approximately 244 cubic inches). Student B claims it won’t change much because the pot’s volume is only 58.5 cubic inches. 3. Let’s identify the error: 4 litres equals 4000 cubic centimeters approximately, which is about 244 cubic inches, so Student A’s volume conversion is correct. 4. Student B’s volume of 58.5 cubic inches is inconsistent with Student A’s value for the same pot, so Student B is incorrect about the volume of the pot. 5. The key misunderstanding is that the volume of the pot itself is not the direct cause of water rise, but rather the volume of water displaced when the pot is submerged. 6. The pot’s **effective** volume for displacement depends on whether it is hollow or solid and how much water it displaces. For instance, an empty pot filled with air won’t displace its entire volume of water but only the volume of the pot submerged. 7. Therefore, they should have discussed the **displaced volume of water** (volume of water displaced) and Archimedes’ principle, which states that the water level rises by an amount equal to the volume of water displaced by the object. 8. In conclusion: Student A is correct about the pot’s volume but incorrect in assuming the water level will rise by that whole amount without considering displacement. Student B is incorrect about the volume measurement. Both should have focused on displaced water volume instead of just the pot’s volume. Final remark: Water level rise is proportional to the volume of water displaced by the dropped object, not simply the object’s volume alone.