Thread: 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.

Originally Posted by MK47

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 = mass of Io

= mass of Jupiter

let = distance between Io and Jupiter

let = distance from Jupiter where




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