How does the acceleration due to gravity chan | vedclass

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(B) The acceleration due to gravity $g'$ at an altitude $h$ above the Earth's surface is given by the formula:$g' = g \left( 1 + \frac{h}{R_e} \right)

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decreases with altitude

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(B) The acceleration due to gravity $g'$ at an altitude $h$ above the Earth's surface is given by the formula:$g' = g \left( 1 + \frac{h}{R_e} \right)^{-2}$Using the binomial theorem for $h \ll R_e$,we can approximate this as:$g' \approx g \left( 1 - \frac{2h}{R_e} \right)$From this expression,it is clear that as the altitude $h$ increases,the term $\frac{2h}{R_e}$ increases,causing the value of $g'$ to decrease.Therefore,the acceleration due to gravity decreases with altitude.

How does the acceleration due to gravity change with altitude?

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