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Math Help - physics -gravity

  1. #1
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    physics -gravity

    Io is the largest of Jupier's moons with a mass 1/4000 of the mass of Jupiter.
    The distance between the two bodies is 4.22x10^8m. Find the distance from Jupiter at which the resultant gravitational field is from the two bodies is zero.
    Do i use Fc=Fg?
    and find out the mass of Jupiter and the moon.
    then use F=-Gm1m2/r^2 to work out the force on Jupiter,put the force back into mrw^2 with Io's mass and work out the radius? or am i completely work?
    thanks.
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  2. #2
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    Quote Originally Posted by MK47 View Post
    Io is the largest of Jupier's moons with a mass 1/4000 of the mass of Jupiter.
    The distance between the two bodies is 4.22x10^8m. Find the distance from Jupiter at which the resultant gravitational field is from the two bodies is zero.
    Do i use Fc=Fg?
    and find out the mass of Jupiter and the moon.
    then use F=-Gm1m2/r^2 to work out the force on Jupiter,put the force back into mrw^2 with Io's mass and work out the radius? or am i completely work?
    thanks.
    let M = mass of Io

    4000M = mass of Jupiter

    let R = distance between Io and Jupiter

    let x = distance from Jupiter where a = 0


    \displaystyle \frac{GM}{(R-x)^2} = \frac{G(4000M)}{x^2}

    solve for x in terms of R ... then sub in your given value for R
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