The value of acceleration due to gravity `(g)` at height `h` above the surface of earth is given by
`g^'=(gR^2)/((R+h)^2)`. If `hlt ltR`, then prove that `g^'=g(1-(2h)/(R))`.

Explanation

To prove that the value of acceleration due to gravity \( g' \) at height \( h \) above the surface of the Earth is given by the equation

\[ g' = g \left( 1 - \frac{2h}{R} \right) \]

given that \( h \ll R \), we start from the formula:

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