Calculating Difference in Gravity at Different Distances from Earth's Surface

[TANMAI]

Homework Statement

at what distance above the Earth surface and at what depth below the Earth surface,is the acceleration due to gravity less by 10% of its value at surface? R=6400 km

Homework Equations

The Attempt at a Solution

g^'/g = (1- 2h)/R

 

[TANMAI]

i have done this problem and the answer is coming out to be 320 km but it is 345.6 km...

 

[SteamKing]

i have done this problem and the answer is coming out to be 320 km but it is 345.6 km...

Well, show us your calculations.

 

[TANMAI]

fine 100-10=90/100=0.9 means g_h is 0.9 times of g therefore 0.9=2h/R which is 0.9=2h/6400

 

[SteamKing]

fine 100-10=90/100=0.9 means g_h is 0.9 times of g therefore 0.9=2h/R which is 0.9=2h/6400

That doesn't match the formula you have in the OP. Have you written the formula correctly?