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Two solid sphere of same size of a metal are placed in contact by touching each other prove that the gravitational force acting between then is directly proportional to the fourth power of their radius. |
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Answer» The weight of the spheres may be assumed to be concentrated at their centres. So `F=(G[4/3 pi R^(3) rho]xx[4/3 pi R^(3) rho])/((2R)^(2))=4/9 (Gpi^(2) rho^(2))R^(4)` `:. F prop R^(4)` |
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