Question

Derive an expression for acceleration due to gravity at a depth 'd' below the earth's earth surface.

Medium

Solution

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Let be mass of the earth be the radius of the earth
be gravitational acceleration at depth from the earth surface
be gravitational acceleration on the earth surfaces
be the density of the earth
be the point inside the earth at depth from earth surfaces
----------- since CS=R


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acceleration due to gravity at depth



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Dividing eq by eq


solution
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Solve any question of Gravitation with:-

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