Concept explainers
(a)
To Show: The value of
(a)
Explanation of Solution
Given Data:
The satellite of the mass
The given diagram is shown in Figure 1
Figure 1
Calculation:
Consider the circular arc from the point where
Then, the magnitude of the position vector is
(b)
To find: The acceleration of the satellite.
(b)
Answer to Problem 62E
The acceleration
Explanation of Solution
Consider the velocity vector of the satellite is,
Then, the acceleration vector of the satellite is,
(c)
To Show: The expression
(c)
Explanation of Solution
Consider from part (b) the acceleration vector is,
Then, by the second law of the gravitation,
Hence, porved.
(d)
To Show: The orbital period T satisfies
(d)
Explanation of Solution
Consider that the satellite completes the circle that means
Hence, proved.
(e)
To Show: The expression for the period of satellite is
(e)
Explanation of Solution
Substitute the values
Hence, proved.
Chapter 11 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
Additional Math Textbook Solutions
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Precalculus (10th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Calculus: Early Transcendentals (3rd Edition)
Calculus & Its Applications (14th Edition)
Calculus: Early Transcendentals (2nd Edition)
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning