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?

College Physics
11th Edition
ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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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?
Transcribed Image Text: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?
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