The Cosmic Perspective (9th Edition)
9th Edition
ISBN: 9780134874364
Author: Jeffrey O. Bennett, Megan O. Donahue, Nicholas Schneider, Mark Voit
Publisher: PEARSON
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Chapter 16, Problem 58EAP
- Determine the average orbital separation of this system using Newton’s version of Kepler’s third law.
- Determine the average speed of each star with respect to the center of mass of the system.
- The center of mass of this system lies at the midpoint between the two stars because their masses are equal. The distance of each star from the center of mass is therefore equal to half the orbital separation. What is the angular momentum of each star with respect to the center of mass?
- Suppose the Sun had the same angular momentum as these two stars combined. Estimate the speed at which the Sun’s surface would be moving around the Sun’s rotation axis.
- How does the speed from part d compare with the escape velocity from the Sun’s surface? What would happen if the Sun were spinning this fast?
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Two astronauts each having a mass of 80 kg, are connected by a 12.0 m rope ofnegligible mass. They are isolated in space, orbiting their center of mass atspeeds of 6.00 m/s.
(a) Calculate the magnitude of the angular momentum of the two-astronautsystem.
(b) Calculate the total energy of the system.
(c) By pulling on the rope, one astronaut shortens the distance between them to6.00 m. What is the new angular momentum of the two-astronaut system?
(d) Verify that the total mechanical energy is not conserved. Does it increase ordecrease?
(e) Notice that there are no external forces on the system. So, what happened tothe energy ?
Chapter 16 Solutions
The Cosmic Perspective (9th Edition)
Ch. 16 - Prob. 1VSCCh. 16 - Prob. 2VSCCh. 16 - Prob. 3VSCCh. 16 - Prob. 4VSCCh. 16 - Prob. 1EAPCh. 16 - Prob. 2EAPCh. 16 - Prob. 3EAPCh. 16 - Prob. 4EAPCh. 16 - Prob. 5EAPCh. 16 - Prob. 6EAP
Ch. 16 - Prob. 7EAPCh. 16 - Prob. 8EAPCh. 16 - Prob. 9EAPCh. 16 - Prob. 10EAPCh. 16 - Prob. 11EAPCh. 16 - Prob. 12EAPCh. 16 - Prob. 13EAPCh. 16 - Prob. 14EAPCh. 16 - Prob. 15EAPCh. 16 - Prob. 16EAPCh. 16 - Prob. 17EAPCh. 16 - Prob. 18EAPCh. 16 - Prob. 19EAPCh. 16 - Prob. 20EAPCh. 16 - Prob. 21EAPCh. 16 - Prob. 22EAPCh. 16 - Prob. 23EAPCh. 16 - Prob. 24EAPCh. 16 - Prob. 25EAPCh. 16 - Prob. 26EAPCh. 16 - Prob. 27EAPCh. 16 - Prob. 28EAPCh. 16 - Prob. 29EAPCh. 16 - Prob. 30EAPCh. 16 - Prob. 31EAPCh. 16 - Prob. 32EAPCh. 16 - Prob. 33EAPCh. 16 - Prob. 34EAPCh. 16 - Prob. 35EAPCh. 16 - Prob. 37EAPCh. 16 - Prob. 38EAPCh. 16 - Prob. 39EAPCh. 16 - Prob. 40EAPCh. 16 - Prob. 41EAPCh. 16 - Prob. 42EAPCh. 16 - Prob. 43EAPCh. 16 - Prob. 44EAPCh. 16 - Prob. 45EAPCh. 16 - Prob. 46EAPCh. 16 - Prob. 47EAPCh. 16 - Prob. 48EAPCh. 16 - Prob. 49EAPCh. 16 - Prob. 50EAPCh. 16 - Prob. 51EAPCh. 16 - Prob. 52EAPCh. 16 - Prob. 53EAPCh. 16 - Prob. 54EAPCh. 16 - Prob. 55EAPCh. 16 - Internal Temperature of the Sun. The Sun is...Ch. 16 - Prob. 57EAPCh. 16 - Angular Momentum of a Close Binary. Some close...Ch. 16 - Prob. 59EAP
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