Io, one of Jupiter’s moons, moves in a nearly circular orbit of radius 4.22×108m and has an orbital period of 1.769days. Take G=6.674×10−11Nm2kg−2 and Jupiter’s mean radius as 7.14×107m.
(i) Using the data given, estimate the mass of Jupiter.
(ii) Hence calculate the acceleration due to gravity at Jupiter’s cloud‐top level.
(iii) Compare this value with the acceleration due to gravity on the Earth’s surface.