Altitude at which acceleration due to gravity decreases by 0.1% approximately is 10 x Km then find the value of X : (Radius of earth = 6400 km)

Question

Altitude at which acceleration due to gravity decreases by 0.1% approximately is 10 x ​ Km then find the value of X : (Radius of earth = 6400 km)

TestHub · Accepted Answer

Concepts: Acceleration due to gravity variation with altitude.

Formula: $g^{'} = g (1 - \frac{2 h}{R _{e}})$ .

Calculation: $\frac{g ^{'} - g}{g} = - 0.001 \Rightarrow - \frac{2 h}{R _{e}} = - 0.001 \Rightarrow h = \frac{R _{e}}{2000} = 3.2$ km.

$x = 32$ .

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