# Gravitational Force problem

1. Oct 18, 2009

### pharoh123

1. The problem statement, all variables and given/known data
What distance must an astronaut be so that his weight is half what it is on earth?
I tried dividing the old force by the new force, but i don't if the radius for the new one should be xr or r+x
i did it with xr and i got x=$$\sqrt{2}$$ but the answer is ($$\sqrt{2}$$-1)r