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**[SOLVED] Weight in Terms of Distance From Earth**

## Homework Statement

At what height above the Earth's surface will an astronaut have a true weight that is one half his weight on earth?

## Homework Equations

F=G(m1*m2)/r^2

(GM)/(4*pi^2)=(R^3)/t^2

## The Attempt at a Solution

I did:

F/2=(G*m1*m2)/r^2

r=sqrt((2*G*m1*m2)/F)

My teacher got sqrt(2) times the radius of the earth. Where do I go from there?

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