Gravitational field intensity

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Question

A particle of mass m is at a distance of 4R from the centre O of a solid sphere of mass 4m and radius R. A is a point on the surface of the sphere as shown in the figure. Then intensity of gravitational field at A is

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Solution

$g_{A} = \frac{G . 4 m}{R^{2}} - \frac{G . m}{{(3 R)}^{2}} = \frac{35 Gm}{9 R^{2}}$

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