1. The problem statement, all variables and given/known data What is the distance from the Earth's center to a point outside the Earth where the gravitational acceleration due to the Earth is 1/10 its value at the Earth's surface? 2. Relevant equations FG= GmM/r^2 g= Gm/r^2 G=6.67x10^-11 (Nm^2)/kg^2 m(earth)=5.97x10^24 kg g=9.8m/s^2 3. The attempt at a solution g=1/10g (earth) g= Gm/r^2 r^2= (Gm/g)1/10 r^2= (Gm/g)10 Answer: r=2.02x10^7 m^2 Using dimensional analysis I somehow got m^2, but I know the units should be in meters, not meters squared. My other concern is where I change r^2= (Gm/g)1/10 to r^2= (Gm/g)10 I'm not even sure if it was correct to do that. By changing the multiplication from 1/10 to 10 was the only way I got the right answer. I could maybe post an attachment with a picture of my work if it would help you understand what I did. Any help is greatly appreciated.