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
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![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.
M
Ms](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F44d21874-42a2-498b-8d3c-b0b3eb72e911%2F50803e9d-d36e-413d-970b-9879d8fb7292%2Fudmky2t_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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.
M
Ms
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