Gravitational field at the surface of a solid sphere is $1.5 \times 10^{- 4} N {k g}^{- 1}$ . Find the gravitational field at a point situated inside the sphere at a distance equal to half of the radius of the solid sphere.

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Solution

Gravitational Field inside the solid sphere $= \frac{G_{M} r}{R}$
where, $G_{M} =$ Gravitational Field at the surface of the solid sphere
$r =$ Distance from centre
And, $R =$ Radius of sphere

Now, Gravitational field at a point situated inside the sphere at a distance equal to half of the radius of the solid sphere $= \frac{1.5 \times 10^{- 4} \times (\frac{R}{2})}{R}$

$\Rightarrow$ Gravitation field $= 7.5 \times 10^{- 5} N / k g$

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Gravitational field at the surface of a solid sphere is 1.5×10−4Nkg−1. Find the gravitational field at a point situated inside the sphere at a distance equal to half of the radius of the solid sphere.

Gravitational field at the surface of a solid sphere is $1.5 \times 10^{- 4} N {k g}^{- 1}$ . Find the gravitational field at a point situated inside the sphere at a distance equal to half of the radius of the solid sphere.