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
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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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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