Learning Goal: To find some of the parameters characterizing an object moving in a circular orbit. The motivation for Isaac Newton discover his laws of motion was to explain the properties of planetary orbits that were observed by Tycho Brahe and analyzed by Johannes Kepler. A good starting point for understanding this (as well as the speed of the space shuttle and the height of geostationary satellites) is the simplest orbit: a circular one. This problem concerns the properties of circular orbits for a satellite orbiting a planet of mass M. For all parts of this problem, where appropriate, use G for the universal gravitational constant. Part A Find the orbital speed of a satellite in a circular orbit of radius R around a planet of mass M. Express the orbital speed in terms of G, M, and R. ▸ View Available Hint(s) V = Submit Part B D IVE| ΑΣΦ K = 3 Find the kinetic energy K of a satellite with mass m in a circular orbit of radius R around a planet of mass M. Express your answer in terms of m, M, G, and R. Π| ΑΣΦ Submit ? Request Answer

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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Item 1
Learning Goal:
To find some of the parameters characterizing an object moving in a
circular orbit.
The motivation for Isaac Newton to discover his laws of motion was to
explain the properties of planetary orbits that were observed by Tycho
Brahe and analyzed by Johannes Kepler. A good starting point for
understanding this (as well as the speed of the space shuttle and the
height of geostationary satellites) is the simplest orbit: a circular one.
This problem concerns the properties of circular orbits for a satellite
orbiting a planet of mass M.
For all parts of this problem, where appropriate, use G for the
universal gravitational constant.
Part A
Find the orbital speed v of a satellite in a circular orbit of radius R around a planet of mass M.
Express the orbital speed in terms of G, M, and R.
► View Available Hint(s)
V =
Submit
Part B
K =
VO ΑΣΦ
Find the kinetic energy K of a satellite with mass m in a circular orbit of radius R around a planet of mass M.
Express your answer in terms of m, M, G, and R.
V ΑΣΦ
Submit
?
Request Answer
2) ?
Transcribed Image Text:Item 1 Learning Goal: To find some of the parameters characterizing an object moving in a circular orbit. The motivation for Isaac Newton to discover his laws of motion was to explain the properties of planetary orbits that were observed by Tycho Brahe and analyzed by Johannes Kepler. A good starting point for understanding this (as well as the speed of the space shuttle and the height of geostationary satellites) is the simplest orbit: a circular one. This problem concerns the properties of circular orbits for a satellite orbiting a planet of mass M. For all parts of this problem, where appropriate, use G for the universal gravitational constant. Part A Find the orbital speed v of a satellite in a circular orbit of radius R around a planet of mass M. Express the orbital speed in terms of G, M, and R. ► View Available Hint(s) V = Submit Part B K = VO ΑΣΦ Find the kinetic energy K of a satellite with mass m in a circular orbit of radius R around a planet of mass M. Express your answer in terms of m, M, G, and R. V ΑΣΦ Submit ? Request Answer 2) ?
Part C Complete previous part(s)
Part D
Find the satellite's orbital period T.
Express your answer in terms of G, M, R, and T.
► View Available Hint(s)
T =
Submit
Π ΑΣΦ
Part E Complete previous part(s)
C
1] ?
Transcribed Image Text:Part C Complete previous part(s) Part D Find the satellite's orbital period T. Express your answer in terms of G, M, R, and T. ► View Available Hint(s) T = Submit Π ΑΣΦ Part E Complete previous part(s) C 1] ?
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