Chapter 6, Problem 20SEQ

Explain all answers clearly, with complete sentences and proper essay structure if needed. An asterisk (*) designates a quantitative problem, for which you should show all your work.

Jupiter’s Mass. $\text{Io}$ orbits Jupiter at an average distance of 421,600 kilometers and with an orbital period of 1.77 days. Use these facts and Newton’s version of Kepler’s third law to calculate Jupiter’s mass. (Hint: Be sure to convert the orbital distance to meters and the period to seconds so that you can use the value of the gravitational constant $\text{G}=\text{6}\text{.67}\times {\text{10}}^{-11}{\text{m}}^3/\text{kg}\times s^2$.)