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?

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 68P: Two astronauts (Fig. P10.67), each having a mass M, are connected by a rope of length d having...
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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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