Kepler tells us that a planet sweeps out equal areas in equal intervals of time. Four such equal-area ’triangles' are shown.
Rank these quantities from greatest to least.
a. average speed during the time interval
b. acceleration during the time interval
(a)
To Rank: Average speed during the time interval from greatest to least.
Answer to Problem 23A
A > B > D > C.
Explanation of Solution
Introduction:
Since the planet sweeps out equal areas in equal amounts of time, the planet has to travel faster along a bigger arc and slower along a smaller arc.
The average speed of the planet is greater when the planet has to sweep a bigger arc.
Therefore, the average speed ranking is A > B > D > C.
(b)
To Rank: The acceleration during the time interval.
Answer to Problem 23A
A > B > D > C
Explanation of Solution
Introduction:
Acceleration is the change in velocity with respect to time.
While following an arc, the planet can change its direction from positive to negative, or vice versa.
The change in velocity for a bigger arc would be greater than for a smaller arc. Thus, the acceleration is the highest for the longest arc.
Hence, the ranking is A > B > D > C.
Chapter 14 Solutions
Conceptual Physics: The High School Physics Program
Additional Science Textbook Solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
University Physics Volume 2
The Cosmic Perspective (8th Edition)
The Cosmic Perspective
Conceptual Integrated Science
Sears And Zemansky's University Physics With Modern 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