At what altitude in metre will the acceleration due to gravity be $25\%$ of that at the earth's surface (Radius of earth $= R\, metre$)
At what altitude in metre will the acceleration due to gravity be $25\%$ of that at the earth's surface (Radius of earth $= R\, metre$)
$\frac{1}{4}R$
$R$
$\frac{3}{8}R$
$\frac{R}{2}$
At what altitude in metre will the acceleration due to gravity be $25\%$ of that at the earth's surface (Radius of earth $= R\, metre$)
$g' = g{\left( {\frac{R}{{R + h}}} \right)^2}$ $⇒$$\frac{g}{4} = g{\left( {\frac{R}{{R + h}}} \right)^2}$ $⇒$ $\frac{1}{2} = \frac{R}{{R + h}}$
$⇒$ $R + h = 2R$
$h = R$
Other Language