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.)
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter8: Central-force Motion
Section: Chapter Questions
Problem 8.40P
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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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