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The gravitational force of the Sun on a planet is proportional to the mass of the planet, and inversely proportional to the square of the distance between the planet and the Sun.
Let F be the gravitational force exerted by the Sun on Earth, which has a mass of 6×1024kg and is 1AU (astronomical unit) from the Sun.
Neptune's mass is approximately 17 times that of Earth, and it is 30AU from the Sun.
Find an expression in terms of F for the gravitational force exerted by the Sun on Neptune.
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The force of gravity of the Sun on Jupiter, which is 5.20AU from the Sun, is 12 times that force on Earth.
Calculate the mass of Jupiter.
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