By what factor would your weight change if the Earth’s diameter were doubled and its mass were also doubled?
The changing factor of weight of the person for the given changes.
Answer to Problem 56A
The weight of the person changes by a factor
Explanation of Solution
Given:
Consider the weight of the person is denoted by
Diameter of Earth is doubled and mass is also doubled.
Formula used:
The Newton’s equation for gravitational force is,
Here,
Calculation:
The weight of the person is equal to the gravitational force acting on the person. The initial weight of the person is,
Here,
Consider the weight of the person when the mass
The modified weight of the person is,
Conclusion:
Thus, the weight of the person when the mass of the Earth is doubled and the diameter of the Earth is doubled, is half the weight of the same person in the initial case.
Chapter 13 Solutions
Conceptual Physics: The High School Physics Program
Additional Science Textbook Solutions
Physics: Principles with Applications
Essential University Physics: Volume 1 (3rd Edition)
Applied Physics (11th Edition)
College Physics (10th Edition)
Essential University Physics (3rd Edition)
An Introduction to Thermal Physics
- 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