Determine the mass of the Earth from the known period and distance of the Moon.
The mass of the Earth from the known period and distance of the Moon.
Answer to Problem 59P
Solution:
With the known values of the period anddistance between Earth and Moon, the mass of the Earth is estimated as
Explanation of Solution
Given:
Period of Moon,
Formula Used:
According to Kepler’s third law of planetary motion:
Where, M is the mass of the planet, R is the orbital radius, G is the gravitational constant and T is orbital period.
Calculation:
Convert units of period from days to seconds:
The distance between Earth and Moon,
According to Kepler’s law,
Conclusion:
Therefore, with the known values of the periodand the distance between Earth and Moon, the mass of the Earth is estimated as
Chapter 5 Solutions
Physics: Principles with Applications
Additional Science Textbook Solutions
An Introduction to Thermal Physics
University Physics Volume 2
College Physics (10th Edition)
Sears And Zemansky's University Physics With Modern Physics
Essential University Physics (3rd Edition)
- 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