The gravitational potential energy of a body at a
distance r from the center of the earth is U. The
force at that point is :
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Gravitational potential energy , U = GMm / r. For calculating the weight at distance 2r from centre of earth , we need to get m*g. But here acceleration due to gravity , g is not equal to 9.8 m/s-2 . Thus , weight of the body at a distance 2r from the body = mg = GMm / 4r2 = U / 4r .
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