(a)
The average force exerted on the Earth by the sun using Newton’s law of gravitation.
(a)
Answer to Problem 5SP
The average force exerted on the Earth by the sun is
Explanation of Solution
Given Info: The mass of sun is
Write the mathematical expression for Newton’s law of universal gravitation.
Here,
The value of
Substitute
Conclusion:
Thus, the average force exerted on the Earth by the sun is
(b)
The average force exerted on the Earth by the moon.
(b)
Answer to Problem 5SP
The average force exerted on the Earth by the moon is
Explanation of Solution
Given Info: The mass of Earth is
Substitute
Conclusion:
Thus, the average force exerted on the Earth by the moon is
(c)
The ratio of the force exerted on the Earth by the sun to that exerted by the moon and whether the moon will have much of an impact on the Earth’s orbit about the sun.
(c)
Answer to Problem 5SP
The ratio of the force exerted on the Earth by the sun to that exerted by the moon is
Explanation of Solution
Find the ratio of the force exerted on the Earth by the sun to that exerted by the moon.
The value of the force exerted on the Earth by the sun is much greater than the force exerted on Earth by the moon. Therefore the moon will not have much of an impact on the orbit of Earth around sun.
Conclusion:
Thus, the ratio of the force exerted on the Earth by the sun to that exerted by the moon is
(d)
The average force exerted on the moon by the sun and whether the sun will have much impact on the orbit of the moon about the Earth.
(d)
Answer to Problem 5SP
The average force exerted on the moon by the sun is
Explanation of Solution
Given Info: The mass of sun is
Substitute
The Earth and sun exert strong forces on moon. This is because, even though the Earth is much closer to the moon than the sun is, the sun has much larger mass than the Earth. The force of the sun on moon keeps it to remain in the annual orbit about the sun as it moves along with the sun.
Conclusion:
Thus, the average force exerted on the moon by the sun is
Want to see more full solutions like this?
Chapter 5 Solutions
The Physics of Everyday Phenomena
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON