Assuming the earth to be a sphere of uniform mass density, how much would a body weight half way down to the centre of the earth if it weighed 250 N on the surface?

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
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Chapter7: Gravitation
Section: Chapter Questions
Problem 85A
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Assuming the earth to be a sphere of uniform mass density, how much would a body weight half way down to the centre of the earth if it weighed 250 N on the surface? 

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