#### Question

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.

#### Solution

a) As `g ∝ 1/r^2` , hence the value of g, according to the increasing distances from the earth, are as follows: 9.23 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 would be high up in the sky because the earth’s radius is 6,400 km which is lesser than 10000 km.