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Re: The gravitational force between two objects, F, is given by the formul [#permalink]
Bunuel wrote:
The gravitational force between two objects, F, is given by the formula \(F=G\frac{m×n}{r^2}\),where G is a constant, m and n are the masses of the two objects, and r is the distance between the two objects. The gravitational force between Asteroid A and Asteroid B is equal to 9, and the gravitational force between Asteroid A and Asteroid C is 6. If the distance between Asteroid A and Asteroid B is twice the distance between Asteroid A and Asteroid C, by what percent does the mass of Asteroid B exceed the mass of Asteroid C?

A. 50%
B. 200%
C. 300%
D. 500%
E. 600%


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distance between: d_ab=2(d_ac)

\(F=G\frac{m×n}{r^2}\)
\(9=G\frac{ab}{(2d)^2}…Gab=9*4d^2…Ga=\frac{36d^2}{b}\)
\(6=G\frac{ac}{(d)^2}…Gac=6*d^2…Ga=\frac{6d^2}{c}\)
\(\frac{6d^2}{c}=\frac{36d^2}{b}…\frac{b}{c}=\frac{36}{6}=6-1*100=500\)

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Re: The gravitational force between two objects, F, is given by the formul [#permalink]
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Re: The gravitational force between two objects, F, is given by the formul [#permalink]
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