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?

Suppose we go 200 km above and below the surface of the Earth, what ar

1.	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?
Answer» Solution :`g . g (1 - d/(R_(E))) "" [ (d= 200 km = 200 xx10^(3)),(R_(E ) = 6371 xx10^(3)m)] ` ` g (1 - (200 xx10^(3))/(6371 xx10^(3))) = g ( 1 - 0.0314 ) = g (0.9686 ) ` ` g . = 0.96 g ` VARIATION of g. with ALTITUDE ` g . = g (1 - (2H)/(R_(E))) "" [h = 200 km = 200 xx10^(3)m ] ` ` = g ( 1 - (2xx200 xx10^(3))/(6371 xx10^(3))) = g (1- 2 ( 0.03 14)) = g (0.9372 )` ` g . = 0.93 g `