At what altitude in metre will the accelerati | vedclass

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Question

(b) $g' = g{\left( {\frac{R}{{R + h}}} \right)^2}$  $&rArr;$$\frac{g}{4} = g{\left( {\frac{R}{{R + h}}} \right)^2}$ $&rArr;$ $

Vedclass · Accepted Answer

$R$

Vedclass · Answer

(b) $g' = g{\left( {\frac{R}{{R + h}}} \right)^2}$  $&rArr;$$\frac{g}{4} = g{\left( {\frac{R}{{R + h}}} \right)^2}$ $&rArr;$ $\frac{1}{2} = \frac{R}{{R + h}}$  

$&rArr;$ $R + h = 2R$ 

$h = R$

At what altitude in metre will the acceleration due to gravity be $25\%$ of that at the earth's surface (Radius of earth $= R\, metre$)

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