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Home Q & A Board Science-Related Homework Help Physics
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riyaz1203 riyaz1203
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11 years ago
How much stronger is the gravitational force between Jupiter (RJupiter = 5.2 AU, MJupiter = 318 MEarth) and the Sun when compared to the gravitational force between Earth and the Sun?
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#1
11 years ago
That's fairly easy to calculate, especially if you just need a simple ratio. The gravitational force is

F = GMm/r^2

Say that m and r are Earth's values. Find the force F' between Jupiter and the Sun by plugging in m' = 318m and r' = 5.2r

F' = GM(318m) / (5.2r)^2

F' = 318GMm / 27.04r^2

F' = (318/27.04)GMm/r^2

F' = (11.76)(GMm/r^2)

F' = 11.76F (it's 11.76 times stronger)
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