Two natural satellites orbit Jupiter in nearly circular paths

PHYSICS · Subjective · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

Two natural satellites orbit Jupiter in nearly circular paths. Satellite A has an orbital radius of

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

, while Satellite B orbits at

1.05\times10^{9}\,\text{m}

. (a) Calculate the ratio

\dfrac{T_B}{T_A}

of their orbital periods. (b) If the orbital speed of Satellite A is

17.3\,\text{km}\,\text{s}^{-1}

, determine the orbital speed of Satellite B. (c) Compare the centripetal accelerations of the two satellites by finding

\dfrac{a_B}{a_A}