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March 25, 2017

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One of the moons of Jupiter is Io. The distance between the centre of Jupiter and the centre of Io is 4.22 x 10^8 m. If the force of gravitational attraction between Io and Jupiter is 6.35 x 10^22 N, what must be the mass of Io?

  • physics - ,

    You need to know the mass of Jupiter to do this problem.

    Jupiter has a total mass of 1.9 x 10^27 kg.

    Now use Newton's universal law of gravity to get the mass of Io.

    Force = G*M(jupiter)*M(io)/R^2

    G is the universal gravty cnstant.

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