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

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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 =

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.

Question

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 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
V
Saturn
VMoon
=
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.
ME
Ms

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