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Ignore the part where it says Numbers My question is with what did they substitute r1 with?

Ignore the part where it says Numbers My question is with what did they substitute r1 with?

College Physics
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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Ignore the part where it says Numbers My question is with what did they substitute r1 with?
Universal gravity and Kepler's II Law Assume that have discovered a you hew stellar system composed by a star with mass Ms and two planets moving on nearly circular orbits. All the information you can obtain from your astronomical observation are the radii of the two planetary orbits, r, and 12, and the period of revolution of the inner planet, T₁. Find: 1) The mass of the star, Ms 2) The period of revolution of the outer planet, T Soluhon 1) Use Newton's I Law and universal force of gravity G E Numbers m r v is related to To by 4T G 2 V₁= knowing r. and T₁, we can obtain Ms. 3 M₂ 10 Use r- 10 m T₁= 1015 S -11 G= 6.67 x 10 Nm²/kg M = (27)2² 100 m X 6.67 10 2711 10 √2+ 1¹k₂² N.s² -= Nm² kg-m 1 6 x 10 kg 2 2 11
Transcribed Image Text:Universal gravity and Kepler's II Law Assume that have discovered a you hew stellar system composed by a star with mass Ms and two planets moving on nearly circular orbits. All the information you can obtain from your astronomical observation are the radii of the two planetary orbits, r, and 12, and the period of revolution of the inner planet, T₁. Find: 1) The mass of the star, Ms 2) The period of revolution of the outer planet, T Soluhon 1) Use Newton's I Law and universal force of gravity G E Numbers m r v is related to To by 4T G 2 V₁= knowing r. and T₁, we can obtain Ms. 3 M₂ 10 Use r- 10 m T₁= 1015 S -11 G= 6.67 x 10 Nm²/kg M = (27)2² 100 m X 6.67 10 2711 10 √2+ 1¹k₂² N.s² -= Nm² kg-m 1 6 x 10 kg 2 2 11
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