The values of g at six distances A, B, C, D, E and F from the surface of the earth are found to be $3.08\ m/s^2,\ 9.23\ m/s^2,\ 0.57\ m/s^2,\ 7.34\ m/s^2,\ 0.30\ m/s^2$ and $1.49\ m/s^2$, respectively.
(a) Arrange these values of g according to the increasing distances from the surface of the earth (keeping the value of g nearest to the surface of the earth first)
(b) If the value of distance F be 10000 km from the surface of the earth, state whether this distance is deep inside the earth or high up in the sky. Give reason for your answer.

 (a). As known $g\propto\frac{1}{r^2}$

Here $g\rightarrow$gravitational acceleration

$r\rightarrow$ distance from the earth

The values of $g$ according to the increasing distances from the surface of the earth are as follows:

$9.2\ m/s^2,\ 7.34\ m/s^2,\ 3.08\ m/s^2,\ 1.49\ m/s^2,\ 0.57\ m/s^2,\ 0.30\ m/s^2$

(b). The place will be high up in the sky as the radius of the earth is $6400\ km$ and it is less than $10000\ km$.

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Updated on: 10-Oct-2022

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