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For a uniform-density Earth, a 100 N body taken to depth R_E/4 weighs:
A75 N
B100 N
C56.25 N
D25 N
Answer & Solution
Correct answer: A. 75 N
Inside a uniform sphere g is proportional to distance from the centre, so at 3R_E/4 the weight is three quarters of 100 N, which is 75 N.
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