The physics of gravity and satellite motion around Jupiter.
A satellite of mass 2.00 x 104 kg is placed in orbit around Jupiter. The mass of Jupiter is 1.90 x 1027 kg. The distance between the satellite and the centre of Jupiter is 7.24 x 107 m.
a) Determine the force of gravitational attraction (Fg) between the satellite and Jupiter.
b) One of the moons of Jupiter is Io. The distance between the centre of Jupiter and the centre of Io is 4.22 x 108 m. If the force of gravitational attraction between Io and Jupiter is 6.35 x 1022 N, what must be the mass of Io?
c) If the mass of Io were to suddenly double, by what amount would the force of gravitational attraction change?
(Do not actually calculate the force of attraction; just determine how much more or less the force of gravity would change.)
d) One of the other moons that orbit Jupiter is Callisto. Its mass, mC, is 1.08 x 1023 kg. If the force of gravity between Jupiter and Callisto is 3.87 x 1021 N, then what must be the distance between the centre of Jupiter and the centre of Callisto? (This represents the radius of orbit Ro)
e) If the distance between (Ro) Jupiter and Callisto doubles, by what amount would the force of gravitational attraction (Fg) change?
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