Mars orbits the Sun at an average distance of 2.28 x 108 km with an orbital period of 1.881 yr. Io, which is one of the satellites of Jupiter, orbits its parent at an average distance of 4.22 x 105 km with an orbital period of 0.00485 yr. Use the above information to find the orbital speeds of Mars around the Sun and of Io around Jupiter. m/s m/s VMars VIO = M = = What is the expression for the mass M of the parent in terms of the orbital speed v of the satellite, the orbital radius R of the satellite and the gravitational constant G? (Do not substitute numerical values; use variables only.) Now use your answers from parts (a) and (b) to find the ratio of the mass of Jupiter to that of the Sun. M₂ Ms

Mars orbits the Sun at an average distance of 2.28 x 108 km with an orbital period of 1.881 yr. Io, which is one of the satellites of Jupiter, orbits its parent at an average distance of 4.22 x 105 km with an orbital period of 0.00485 yr. Use the above information to find the orbital speeds of Mars around the Sun and of Io around Jupiter. m/s m/s VMars VIO = M = = What is the expression for the mass M of the parent in terms of the orbital speed v of the satellite, the orbital radius R of the satellite and the gravitational constant G? (Do not substitute numerical values; use variables only.) Now use your answers from parts (a) and (b) to find the ratio of the mass of Jupiter to that of the Sun. M₂ Ms