Suppose that the radius of the Sun were increased to 5.90 * 10^12 m (the average radius of the orbit of Pluto), that the density of this expanded Sun were uniform, and that the planets revolved within this tenuous object. (a) Calculate Earth’s orbital speed in this new configuration. (b) What is the ratio of the orbital speed calculated in (a) to Earth’s present orbital speed of 29.8 km/s? Assume that the radius of Earth’s orbit remains unchanged. (c) What would be Earth’s new period of revolution? (The Sun’s mass remains unchanged.)
Suppose that the radius of the Sun were increased to 5.90 * 10^12 m (the average radius of the orbit of Pluto), that the density of this expanded Sun were uniform, and that the planets revolved within this tenuous object. (a) Calculate Earth’s orbital speed in this new configuration. (b) What is the ratio of the orbital speed calculated in (a) to Earth’s present orbital speed of 29.8 km/s? Assume that the radius of Earth’s orbit remains unchanged. (c) What would be Earth’s new period of revolution? (The Sun’s mass remains unchanged.)
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
Section: Chapter Questions
Problem 10P
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Question
Suppose that the radius of the Sun were increased to
5.90 * 10^12 m (the average radius of the orbit of Pluto), that the
density of this expanded Sun were uniform, and that the planets
revolved within this tenuous object. (a) Calculate Earth’s orbital
speed in this new configuration. (b) What is the ratio of the orbital
speed calculated in (a) to Earth’s present orbital speed of 29.8
km/s? Assume that the radius of Earth’s orbit remains unchanged.
(c) What would be Earth’s new period of revolution?
(The Sun’s mass remains unchanged.)
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