(4) ( ...) The force exerted by gravity between two bodies of mass M and m a distance r apart is given by GMm F = r2 where G is the gravitational constant (in appropriate units). Suppose the masses and the distances are measured with an estimated 2% relative error. Estimate the maximum relative error of the force in terms of the other quantities.

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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(4) ( ...) The force exerted by gravity between two bodies of mass M and m a
distance r apart is given by
GMm
F =
p2
where G is the gravitational constant (in appropriate units). Suppose the masses
and the distances are measured with an estimated 2% relative error. Estimate the
maximum relative error of the force in terms of the other quantities.
Transcribed Image Text:(4) ( ...) The force exerted by gravity between two bodies of mass M and m a distance r apart is given by GMm F = p2 where G is the gravitational constant (in appropriate units). Suppose the masses and the distances are measured with an estimated 2% relative error. Estimate the maximum relative error of the force in terms of the other quantities.
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