Problem 2. Two astronautes each having a mass of 80 kg, are connected by a 12.0 m rope of negligible mass. They are isolated in space, orbiting their center of mass at speeds of 6.00 m/s. (a) Calculate the magnitude of the angular momentum of the two-astronaute system. (b) Calculate the total energy of the system. (c) By pulling on the rope, one astronaut shortens the distance between them to 6.00 m. What is the new angular momentum of the two-astronaut system? (d) Verify that the total mechanical energy is not conserved. (e) Notice that there are no external forces on the system. So, what happened to the lost energy?
Problem 2. Two astronautes each having a mass of 80 kg, are connected by a 12.0 m rope of negligible mass. They are isolated in space, orbiting their center of mass at speeds of 6.00 m/s. (a) Calculate the magnitude of the angular momentum of the two-astronaute system. (b) Calculate the total energy of the system. (c) By pulling on the rope, one astronaut shortens the distance between them to 6.00 m. What is the new angular momentum of the two-astronaut system? (d) Verify that the total mechanical energy is not conserved. (e) Notice that there are no external forces on the system. So, what happened to the lost energy?
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 67P: Two astronauts (Fig. P10.67), each having a mass of 75.0 kg, are connected by a 10.0-m rope of...
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