Problem 1. A newly discovered planetary system is 1.419x1018 meters from our sun. You are given the following facts about a planet like earth that is located in this system: o The planet takes 121.4 earth days to orbit its star. o One day on this planet (the amount of time it takes the planet to rotate about its own axis) is 0.764 earth days. o The acceleration due to gravity on the planet is 15m/s?.

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how do i solve this problem

For problem 1, you are told that the relevant physics principle is 47²R³=GMT²,
*
where G is Newton's constant, M is the mass of the planet's star, T is the time it
takes a plane to revolve around its star, and R is the distance between the planet
and its star.
Transcribed Image Text:For problem 1, you are told that the relevant physics principle is 47²R³=GMT², * where G is Newton's constant, M is the mass of the planet's star, T is the time it takes a plane to revolve around its star, and R is the distance between the planet and its star.
Problem 1. A newly discovered planetary system is 1.419x1018 meters from our
sun. You are given the following facts about a planet like earth that is located in
this system:
o The planet takes 121.4 earth days to orbit its star.
o One day on this planet (the amount of time it takes the planet to rotate
about its own axis) is 0.764 earth days.
o The acceleration due to gravity on the planet is 15m/s?.
o The mass of the star is 2.18 times greater than the mass of our sun.
o The mass of earth and values for other well-measured data and constants
can be obtained from a reliable source.
How far is this planet from its star?*
Transcribed Image Text:Problem 1. A newly discovered planetary system is 1.419x1018 meters from our sun. You are given the following facts about a planet like earth that is located in this system: o The planet takes 121.4 earth days to orbit its star. o One day on this planet (the amount of time it takes the planet to rotate about its own axis) is 0.764 earth days. o The acceleration due to gravity on the planet is 15m/s?. o The mass of the star is 2.18 times greater than the mass of our sun. o The mass of earth and values for other well-measured data and constants can be obtained from a reliable source. How far is this planet from its star?*
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