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Suppose a (very long) rope is tied tightly around Earth's equator. Assume the Earth is perfectly spherical with a radius of 4000 miles. Suppose you
Suppose a (very long) rope is tied tightly around Earth's equator. Assume the Earth is perfectly spherical with a radius of 4000 miles. Suppose you were to cut the rope and insert another 6 feet of rope. Now the rope is loose. If the rope were now held in the shape of a perfect circle, how far up off the ground would it be? Use differentials.
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