To complete this exercise, you need to know that the circumference of a circle is proportional to its radius, and that the constant of proportionality is 2π. You do not need to know either the radius of the Moon’s orbit or the radius of Earth. For purposes of this exercise, we assume that the Moon’s orbit around Earth is circular. In one trip around Earth, the Moon travels approximately 2.4 million kilometers. Another satellite orbits Earth (in a circular orbit) at a distance from Earth that is 1/4 that of the Moon. How far does this satellite travel in one trip around Earth? (Use decimal notation. Give your answer to one decimal place.) A rope is tied around the equator of Earth. A second rope circles Earth and is suspended 77 feet above the equator. How much longer is the second rope than the first?

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 47P: Let gM represent the difference in the gravitational fields produced by the Moon at the points on...
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To complete this exercise, you need to know that the circumference of a circle is proportional to its radius, and that the constant of proportionality is 2π. You do not need to know either the radius of the Moon’s orbit or the radius of Earth.

For purposes of this exercise, we assume that the Moon’s orbit around Earth is circular. In one trip around Earth, the Moon travels approximately 2.4 million kilometers. Another satellite orbits Earth (in a circular orbit) at a distance from Earth that is 1/4 that of the Moon. How far does this satellite travel in one trip around Earth?

(Use decimal notation. Give your answer to one decimal place.)

A rope is tied around the equator of Earth. A second rope circles Earth and is suspended 77 feet above the equator. How much longer is the second rope than the first?

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