Question

Calculate the value of acceleration due to

gravity at height R above Earth’s surface in

terms of g, where g is acceleration due to

gravity at Earth surface and R is radius of

Earth​

Answer 1

Answer:

$g_{R} = g[\frac{R_{e} }{R_{e} + R} ] ^{2}$

Explanation:

⇒  $g_{R} = \frac{GM}{(R_{e}+R) ^{2} }$

⇒  $g_{R} = \frac{GM}{R_{e} ^{2} }$ ×  $\frac{R_{e} }{(R_{e}+R )^{2} }$                  

⇒  $g_{R} = g[\frac{R_{e} }{R_{e}+h } ]^{2}$      as $g = G\frac{M}{R_{e} ^{2} }$  

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Answer 2

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