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April 21, 2014

April 21, 2014

Posted by **Natsi** on Friday, October 2, 2009 at 1:00pm.

How far would you have to drill into the Earth in kilometers, to reach a point where your weight is reduced by 4.5% ? Approximate the Earth as a uniform sphere.

- Science -
**bobpursley**, Friday, October 2, 2009 at 1:10pmMe(r)=Me (r/re)^3 for r<re

so you want g' to be .955g

g= GMe/re^2

g'=.955GMe/re^2 =GMe(r/re)^3

which reduces to..

.955re=r^3 so

r=re *cubrt(.955)

check my work.

you want, of course, the depth of drilling, re-r

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