Question

At what altitude (h) above the earth's surface would the acceleration due to gravity be `1/4` of its value at the earth's surface?

Options

• h = R

• h = 4R

• h = 2R

• 16R

Answer 1

h = R

Explanation:

For R comparable to h

`"g"/"g'" = [("R" + "h")/"R"]^2`

4 `[("R" + "h")/"R"]^2`

r + h = 2R

h = R