Newton's Law of gravitation GMm FM on m = Fm on M with G = 6.67 x 10-11 N m² /kg? As R. Blake, the intrepid captain of the space ship Liberator, you are approaching a solar system on the outer edge of known space (known to your species, at least). You are looking for plan ets for possible colonization and you aremost interested in one of the planets (you've named it Planet X), which happens to have a moon orbiting it. Both the orbits of the plan et and its moon are very close to circular. As you approach the solar system, you are able to determine these quantities from visual observations: Period of the moon's orbit around the planet (7moon) Period of the planetť's rotation (7,rogate) Period of the planetť's revolution around its sun (T,evolve) Radius of the plan et (Rplanet) Radius of the plan et's orbit around its sun (Rrbit) Radius of the moon's orbit around the planet (Rmoon) While you do not observe long en ough to see a full revolution of the planet or even the moon, you are able to obser ve enough to extrapolate to a full period. Your primary goal is to determine three parameters that you can't directly measure from your spaceship: • Mass of Plan et X (Mg) Mass of Plan et X's sun (Msun) The gravitation al acceleration "g" at the surface of Planet X MODEL The orbits are assumed to be circular. VISUALIZE 1. What is the speed and acceleration of Planet X as it revolves (counter- dockwise) around its sun? (Express your answer in terms of the quantities you have already determined, the three periods and three uns distances, as needed.) Draw the velocity vector and acceleration vector of Planet X on the diagram to the right. 2. Draw a free-body force diagram for Plan et X on the diagr am above. (You can neglect the gravitational force of the moon since it is mu ch, much smaller than that of the sun.) Write Newton's Second Law of Motion for Planet X below.
Newton's Law of gravitation GMm FM on m = Fm on M with G = 6.67 x 10-11 N m² /kg? As R. Blake, the intrepid captain of the space ship Liberator, you are approaching a solar system on the outer edge of known space (known to your species, at least). You are looking for plan ets for possible colonization and you aremost interested in one of the planets (you've named it Planet X), which happens to have a moon orbiting it. Both the orbits of the plan et and its moon are very close to circular. As you approach the solar system, you are able to determine these quantities from visual observations: Period of the moon's orbit around the planet (7moon) Period of the planetť's rotation (7,rogate) Period of the planetť's revolution around its sun (T,evolve) Radius of the plan et (Rplanet) Radius of the plan et's orbit around its sun (Rrbit) Radius of the moon's orbit around the planet (Rmoon) While you do not observe long en ough to see a full revolution of the planet or even the moon, you are able to obser ve enough to extrapolate to a full period. Your primary goal is to determine three parameters that you can't directly measure from your spaceship: • Mass of Plan et X (Mg) Mass of Plan et X's sun (Msun) The gravitation al acceleration "g" at the surface of Planet X MODEL The orbits are assumed to be circular. VISUALIZE 1. What is the speed and acceleration of Planet X as it revolves (counter- dockwise) around its sun? (Express your answer in terms of the quantities you have already determined, the three periods and three uns distances, as needed.) Draw the velocity vector and acceleration vector of Planet X on the diagram to the right. 2. Draw a free-body force diagram for Plan et X on the diagr am above. (You can neglect the gravitational force of the moon since it is mu ch, much smaller than that of the sun.) Write Newton's Second Law of Motion for Planet X below.
Related questions
Question
question 1 and 2 please
Transcribed Image Text:Newton's Law of gravitation
GMm
FM on m = Fm on M =
with G = 6.67 x 10-11 N m2 /kg?
As R. Blake, the intrepid captain of the space ship Liberator, you are approaching a solar system on the
outer edge of known space (known to your species, at least). You are looking for planets for possible
colonization and you are most interested in one of the planets (you've named it Planet X), which happens
to have a moon orbiting it. Both the orbits of the planet and its moon are veryclose to circular.
As you approach the solar system, you are able to determine these quantities from visual observations:
Period of the moon's orbit around the planet (Tmoon)
Period of the planet's rotation (Trotate)
Period of the planet's revolution around its sun (Trevolve)
Radius of the plan et (Rptanet)
Radius of the planet's orbit around its sun (Rorbit)
Radius of the moon's orbit around the planet (Rmoon)
While you do n ot observe long en ough to see a full revolution of the planet or even the moon, you are
able to obser ve enough to extrapolate to a full period.
Your primary goal is to determine three parameters that you can't directly measure from your spaceship:
Mass of Plan et X (Mx)
Mass of Planet X's sun (Meun)
The gravitation al acceleration "g" at the surface of Plan et X
MODEL
The orbits are assumed to be circular.
VISUALIZE
1. What is the speed and acceleration of Planet X as it revolves (counter -
dockwise) around its sun? (Express your answer in terms of the
quantities you have already determined, the three periods and three
sun
distances, as needed.) Draw the velocity vector and acceleration vector
of Planet X on the diagram to the right.
2. Draw a free-body force diagram for Planet X on the diagram above. (You can neglect the
gravitational force of the moon since it is mu ch, much smaller than that of the sun.) Write
Newton's Second Law of Motion for Planet X below.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 2 images
