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Two spheres of masses (m) and (M-m) are prepared from a sphere of mass M. They are kept at a distance x. For what ratio of m/M the gravitational attraction between them will be maximum |
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Answer» SOLUTION :The GRAVITATIONAL force of attraction between the two spheres is `F=(GM(M-m))/x^2=((GMm)/x^2)-(Gm^2)/x^2` The force to be maximum, `Df/dm=GM/x^2=0=2Gm/x^2 THEREFORE Gm/x^2=2Gm/(x^2) thereforeM=2m or m/M=1/2` |
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