Posted by Mikhail on Thursday, April 15, 2010 at 12:41am.
It can be shown that for a uniform sphere the force of gravity at a point inside the sphere depends only on the mass closer to the center than that point. The net force of gravity due to points outside the radius of the point cancels.
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 1:38am
Reduced 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 2:23am
No by 5.5%.

Physics  drwls, Thursday, April 15, 2010 at 4:32am
To 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.
Answer This Question
Related Questions
 Physics Problem 6.22  It can be shown that for a uniform sphere the force of ...
 Science  It can be shown that for a uniform sphere the force of gravity at a ...
 Physics  It can be shown that for a uniform sphere the force of gravity at a ...
 Physics  A solid uniform sphere has a mass of 2.0 104 kg and a radius of 1.5 m...
 physics  A solid uniform sphere has a mass of 7.0 104 kg and a radius of 1.2 m...
 physics  A 22 kg sphere is at the origin and a 12 kg sphere is at (x, y) = ( 22...
 Physics  A 0.21 kg ball on a string is whirled on a vertical circle at a ...
 PHYSICS  A 494 kg uniform solid sphere has a radius of 0.390 m. Find the ...
 science  a sphere of mass 500.0g is released from point A 5m above the ground ...
 physics  Question 6) Oil and gas exploration companies find new underground ...
More Related Questions