7) Assume that we have a distant Star-Planet system with no other planets and the Star is the same as the Sun and the planet is the same as the Earth. (This is called an “Earth analog" or "Earth twin".) The masses and orbits are the same, except you can assume a perfect circular orbit. a. Calculate the equation for the orbital velocity of a planet on a circular orbit. To do this use the equation for average speed: distance=rate * time. In a circular orbit, the speed (not the velocity!) is always the same, so can use a time that is one full orbital period (i.e., 1 year). What is the distance that a planet on a circular orbit traverses in this time? Calculate the speed of the Earth twin in meters/second.

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter7: Rotational Motion And Gravitation
Section: Chapter Questions
Problem 47AP: (a) One of the moons of Jupiter, named Io, has an orbital radius of 4.22 108 m and a period of 1.77...
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7) Assume that we have a distant Star-Planet system with no other planets and the Star is the same
as the Sun and the planet is the same as the Earth. (This is called an "Earth analog" or "Earth
twin".) The masses and orbits are the same, except you can assume a perfect circular orbit.
a. Calculate the equation for the orbital velocity of a planet on a circular orbit. To do this
use the equation for average speed: distance=rate * time. In a circular orbit, the speed
(not the velocity!) is always the same, so can use a time that is one full orbital period (i.e.,
1 year). What is the distance that a planet on a circular orbit traverses in this time?
Calculate the speed of the Earth twin in meters/second.
Transcribed Image Text:7) Assume that we have a distant Star-Planet system with no other planets and the Star is the same as the Sun and the planet is the same as the Earth. (This is called an "Earth analog" or "Earth twin".) The masses and orbits are the same, except you can assume a perfect circular orbit. a. Calculate the equation for the orbital velocity of a planet on a circular orbit. To do this use the equation for average speed: distance=rate * time. In a circular orbit, the speed (not the velocity!) is always the same, so can use a time that is one full orbital period (i.e., 1 year). What is the distance that a planet on a circular orbit traverses in this time? Calculate the speed of the Earth twin in meters/second.
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