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Statement of a problem № 3378

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Taking the earth's radius as 6400 km and assuming that the value of g inside the earth is proportional to the distance from the earth's centre, at what depth below the earth's surface would a pendulum which beats seconds at the earth's surface lose 5 min in a day?

Solution:
Taking the earth's radius as 6400 km and assuming that the value of g inside the

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