Two astronauts, each having a mass M, are connected by a rope of length d having negligible mass. They are isolated in space, moving in circles around the point halfway between them at speed v. c) By pulling on the rope, the astronauts shorten the distance between them to d/2. What is the new angular momentum of the system? d) What are their new speeds? e) What is the new rotational energy of the system? f) How much work is done by the astronauts in shortening the rope?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter8: Rotational Equilibrium And Dynamics
Section: Chapter Questions
Problem 80AP: Two astronauts (Fig. P8.80), each haring a mass of 75.0 kg, are connected by a 10.0-m rope of...
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Two astronauts, each having a mass M, are connected by a rope of length d having negligible mass. They are isolated in space, moving in circles around the point halfway between them at speed v.

c) By pulling on the rope, the astronauts shorten the distance between them to d/2. What is the new angular momentum of the system?
d) What are their new speeds?
e) What is the new rotational energy of the system?
f) How much work is done by the astronauts in shortening the rope?

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