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Mars orbits the Sun at an average distance of 2.28 x 10 km with an orbital period of 1.881 yr. The Moon, which is one of the satelites of the Earth orbits its parent at an average distance of 3.04 x 10 km with an orbital period of 0,07481 yt. (a) Use the above information to find the orbital speeds of Hars around the Sun and of the Moon around the Earth. m/s + m/s Mars Moon" (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 G7 (Do not substitute numerical values; use variables only.) M = (e) Now use your answers from parts (a) and (b) to find the ratio of the mass of the Earth to that of the Sun. M M

Mars orbits the Sun at an average distance of 2.28 x 10 km with an orbital period of 1.881 yr. The Moon, which is one of the satelites of the Earth orbits its parent at an average distance of 3.04 x 10 km with an orbital period of 0,07481 yt. (a) Use the above information to find the orbital speeds of Hars around the Sun and of the Moon around the Earth. m/s + m/s Mars Moon" (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 G7 (Do not substitute numerical values; use variables only.) M = (e) Now use your answers from parts (a) and (b) to find the ratio of the mass of the Earth to that of the Sun. M M

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Mars orbits the Sun at an average distance of 2.28 x 10 km with an orbital period of 1.881 yr. The Moon, which is one of the satellites of the Earth orbits its parent at an average distance of 3.84 x 10 km with an orbital period of 0,07481 yr. (a) Use the above information to find the orbital speeds of Mars around the Sun and of the Moon around the Earth. Mars Hope m/s m/s (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 G7 (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. M M
Transcribed Image Text:Mars orbits the Sun at an average distance of 2.28 x 10 km with an orbital period of 1.881 yr. The Moon, which is one of the satellites of the Earth orbits its parent at an average distance of 3.84 x 10 km with an orbital period of 0,07481 yr. (a) Use the above information to find the orbital speeds of Mars around the Sun and of the Moon around the Earth. Mars Hope m/s m/s (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 G7 (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. M M
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