Question: The preceding problem is most readily solved (see the Solutions manual) with the use of the Archimedes principle, which states that the lifting force is

The preceding problem is most readily solved (see the Solutions manual) with the use of the Archimedes principle, which states that the lifting force is equal to the difference between the weight of the displaced air and the weight of the balloon. Prove the Archimedes principle for the atmosphere from the barometric formula. Hint. Assume a simple shape for the balloon, perhaps a right circular cylinder of cross-sectional area A and height h.

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