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April 18, 2015

April 18, 2015

Posted by **Mikhail** on Thursday, April 15, 2010 at 12:41am.

How far would you have to drill into the Earth, to reach a point where your weight is reduced by 5.5 ? Approximate the Earth as a uniform sphere.

Express your answer using two significant figures.

- Physics -
**drwls**, Thursday, April 15, 2010 at 1:38amReduced by 5.5 m/s^2 (from 9.8 m/s^2), or by a factor of 5.5?

When you have clarified how much you want to reduce g, drill to a value of R for which M/R^2 (which is proportional to density*R) is reduced by the same factor.

- Physics -
**Mikhail**, Thursday, April 15, 2010 at 2:23amNo by 5.5%.

- Physics -
**drwls**, Thursday, April 15, 2010 at 4:32amTo reduce the value of g by 5.5%, reduce the distance from the center of the Earth by 5.5%. That will mean going down about 350 km.

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