2. (This is a problem from Physics 211 (Mechanics). Of course it has an electrical analog in the hydrogen atom, due to the analogy between gravity and electricity.) You are to make use of Kepler's laws of planetary motion to solve this problem. The orbit of Mercury around the sun is actually an ellipse with a very small eccentricity. For elliptical motion the location of the distance of closest approach of a planet to the sun is called the perihelion, and the location of the furthest distance of planet from the sun is called the aphelion. You are given the following data: mass of the sun: 1.98 × 10³0 kg; distance of Mercury from the sun at the perihelion: 24 X 100 km; speed of Mercury at the perihelion: 50 km/sec; speed of Mercury at the aphelion: 34 km/ sec; G = 6.67 X 10-¹1 m³/(kg sec²). Determine: 1) the distance of Mercury from the sun when it is located at the aphelion; 2) the length of a Mercurian year in seconds.

2. (This is a problem from Physics 211 (Mechanics). Of course it has an electrical analog in the hydrogen atom, due to the analogy between gravity and electricity.) You are to make use of Kepler's laws of planetary motion to solve this problem. The orbit of Mercury around the sun is actually an ellipse with a very small eccentricity. For elliptical motion the location of the distance of closest approach of a planet to the sun is called the perihelion, and the location of the furthest distance of planet from the sun is called the aphelion. You are given the following data: mass of the sun: 1.98 × 10³0 kg; distance of Mercury from the sun at the perihelion: 24 X 100 km; speed of Mercury at the perihelion: 50 km/sec; speed of Mercury at the aphelion: 34 km/ sec; G = 6.67 X 10-¹1 m³/(kg sec²). Determine: 1) the distance of Mercury from the sun when it is located at the aphelion; 2) the length of a Mercurian year in seconds.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter13: Gravitation

Section: Chapter Questions

Problem 37P: Two planets in circular orbits around a star have speed of v and 2v . (a) What is the ratio of the...

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