Question

At what distance from the centre of earth does the gravitational acceleration have a third the value that it has on the earths surface

Answer 1

Heya

Here's the answer

g1 = g (1 – 2h/R)

g1 is the acceleration due to gravity, at a height h from the earth.

R is the radius of the earth = 6371km

g1 = 9.8/3

9.8/3 = 9.8(1-2h/6371)

1/3 = (6371-2h)/6371

6371/3 = 6371-2h

2123.6 - 6371 = -2h

4247.3 = 2h

2123.6 = h

Dustance from centre is 2123.6+6371 = 8494.6km