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6. The eccentricity of Pluto's orbit is 0.25. Using the eccentricity and your answer in kilometers from #7, determine the distance between Pluto and the Sun at aphelion.

6. The eccentricity of Pluto's orbit is 0.25. Using the eccentricity and your answer in kilometers from #7, determine the distance between Pluto and the Sun at aphelion.

Applications and Investigations in Earth Science (9th Edition)
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
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iew Insert Format Tools Table Window Help Homework 3- Kepler... Page 2 of 3 2 . Ö » Q 6. The eccentricity of Pluto's orbit is 0.25. Using the eccentricity and your answer in kilometers from #7, determine the distance between Pluto and the Sun at aphelion. 7. Determine the distance between Pluto and the Sun at perihelion. 8. Knowing G, it is now possible to measure the mass of the sun as well. By combining Kepler's Third Law, the equations from physics for circular motion, and his equation for the force of gravity, Newton found the relationship: m, + m₂ 4π²a³ GP² For our solar system, mun >> Mearth, so the sum of their masses is roughly equal to the mass of the sun alone (the symbol >> means much, much greater than, so msun + mearth Msun). What is the mass of the Sun? (NOTE: you will use the values you already know for Earth's P and a, but you will need to convert into meters and seconds!) 9. a. A 1.0kg mass feels a force of gravity of 9.8N, and the radius of the Earth is 6.37x10 m. Use the law of universal gravitation to calculate the mass of the earth (since G is now known, this calculation is possible using Algebra). a n
Transcribed Image Text:iew Insert Format Tools Table Window Help Homework 3- Kepler... Page 2 of 3 2 . Ö » Q 6. The eccentricity of Pluto's orbit is 0.25. Using the eccentricity and your answer in kilometers from #7, determine the distance between Pluto and the Sun at aphelion. 7. Determine the distance between Pluto and the Sun at perihelion. 8. Knowing G, it is now possible to measure the mass of the sun as well. By combining Kepler's Third Law, the equations from physics for circular motion, and his equation for the force of gravity, Newton found the relationship: m, + m₂ 4π²a³ GP² For our solar system, mun >> Mearth, so the sum of their masses is roughly equal to the mass of the sun alone (the symbol >> means much, much greater than, so msun + mearth Msun). What is the mass of the Sun? (NOTE: you will use the values you already know for Earth's P and a, but you will need to convert into meters and seconds!) 9. a. A 1.0kg mass feels a force of gravity of 9.8N, and the radius of the Earth is 6.37x10 m. Use the law of universal gravitation to calculate the mass of the earth (since G is now known, this calculation is possible using Algebra). a n
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