Suppose we go 200 km above and below the surface of the Earth, what are the g values at these two points? In which case, is the value of g small?

Explanation

The height above the earth `h = 200 km`
`g_(h) = ? " "R_(E) = 6371 km`
`g_(h) = g(1-(2h)/(R_E))`
`g_(h) = g(1-(2 xx 200)/(6371)) = 5971/6371.g`
`g_(h) = 0.937 g (or) g_(h) = 0.94 g`
The depth below the earth d = 200 km
`g_(d) = ? " " R_(E) = 6371 km`
`g_(d) = g(1-d/(R_E)) = g(1-200/6371) = g(6171)/(6371)`
`g_(d) = 0.968 g`.