The acceleration due to gravity at a height \( h \) above the surface of the earth (radius \( =R...

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The acceleration due to gravity at a height \( h \) above the surface of the earth (radius \( =R \) ) is given by
\( g^{\prime}=\frac{g R^{2}}{(R+h)^{2}} \)
If \( h \ll R \), then show that : \( g^{\prime}=g\left(1-\frac{2 h}{R}\right) \).
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