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Does the concentration of the earth's ma...

Does the concentration of the earth's mass near its centre change the variation of `g` (acceleration due to gravity) with height from its surface?

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No, The acceleration due to gravity, that is gravitation as intensity at points outside the surface may be calculated by assuming the mass to be concentrated at the centre of the sphere. Hence the distribution of mass over the earth does not affect the variation of `g` with height.
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