Io, one of Jupiter’s moons, revolves in an almost circular orbit of radius with an…

PHYSICS · Subjective · CBSE · Physics · Gravitation · Gravitation

Problem

Io, one of Jupiter’s moons, revolves in an almost circular orbit of radius

4.2\times10^{8}\,\text{m}

with an orbital period of

1.77\,\text{days}

. Assuming Io’s mass is negligible compared with Jupiter’s, (i) determine the mass of Jupiter, (ii) compare your answer with the accepted value

1.9\times10^{27}\,\text{kg}

by calculating the percentage difference.