At what height above the earth surface the value of g is 1/2 of its value on earth surface.Given its radius 6400km.?

1 Answer
Feb 2, 2018

If the height from the surface of the earth is color(red)(h and the radius of the earth is color(red)(R,then the relation between the final gravitational acceleration is

color(red)(ul(bar(|color(green)(g^(')=g(1-(2h)/R))|

According to your given condition, g^'=g/2

Apply formula:-

g/2=g(1-(2h)/R)
=>1/2=1-(2h)/R
=>1/2=(2h)/R
=>color(red)(h=R/4=6400/4=1600"km"

Hope it helps...
Thank you...