The value 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/s², 9.23 m/s², 0.57 m/s², 7.34 m/s², 0.30 m/s² and 1.49 m/s², 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.

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Solution

a) As $g \propto \frac{1}{r^{2}}$ , hence the value of g, according to the increasing distances from the earth, are as follows:
9.23 m/s², 7.34 m/s², 3.08 m/s², 1.49 m/s², 0.57 m/s², 0.30 m/s²
b) The place would be high up in the sky because the earth’s radius is 6,400 km which is lesser than 10000 km.

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