Saturn orbits the Sun at an average distance of 1.43 × 10⁹ km with an orbital period of 29.46 yr. The Moon, which is one of the satellites of the Earth, orbits its parent at an average distance of 3.84 × 105 kmwith an orbital period of 0.07481 yr.(a) Use the above information to find the orbital speeds of Saturn around the Sun and of the Moon around the Earth.m/sm/sVSaturnVMoon=M ==(b) 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.)(c) Now use your answers from parts (a) and (b) to find the ratio of the mass of the Earth to that of the Sun.MEMs

Answered: Image /qna-images/answer/dd5c9462-8733-42d3-98c6-34efd07b3c4e.jpg

Saturn orbits the Sun at an average distance of 1.43 x 109 km with an orbital period of 29.46 yr. The Moon, which is one of the satellites of the Earth, orbits its parent at an average distance of 3.84 x 105 km with an orbital period of 0.07481 yr. (a) Use the above information to find the orbital speeds of Saturn around the Sun and of the Moon around the Earth. m/s m/s ✓Saturn= VMoon= (b) 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.) M = (c) Now use your answers from parts (a) and (b) to find the ratio of the mass of the Earth to that of the Sun. ME Ms =

Saturn orbits the Sun at an average distance of 1.43 x 109 km with an orbital period of 29.46 yr. The Moon, which is one of the satellites of the Earth, orbits its parent at an average distance of 3.84 x 105 km with an orbital period of 0.07481 yr. (a) Use the above information to find the orbital speeds of Saturn around the Sun and of the Moon around the Earth. m/s m/s ✓Saturn= VMoon= (b) 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.) M = (c) Now use your answers from parts (a) and (b) to find the ratio of the mass of the Earth to that of the Sun. ME Ms =

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter7: Gravity

Section: Chapter Questions

Problem 7PQ: Model the Moons orbit around the Earth as an ellipse with the Earth at one focus. The Moons farthest...

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