Two astronauts, each having a mass M, are connected by a rope of length d having negligible mass. They are isolated in space, orbiting their center of mass at speeds v. (Use any variable or symbol statedabove as necessary.)Center of gravity(a) Calculate the magnitude of the angular momentum of the system by treating the astronauts as particles.(b) Calculate the rotational energy of the system.KE-By pulling on the rope, the astronauts shorten the distance between them to d/2.(c) What is the new angular momentum of the system?L₁=(d) What are their new speeds?(e) What is the new rotational energy of the system?KE-(f) How much work is done by the astronauts in shortening the rope?W=

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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, orbiting their center of mass at speeds v. (Use any variable or symbol stated above as necessary.) Center of gravity (a) Calculate the magnitude of the angular momentum of the system by treating the astronauts as particles. 4- (b) Calculate the rotational energy of the system. KE- By pulling on the rope, the astronauts shorten the distance between them to d/2. (c) What is the new angular momentum of the system? 4f= (d) What are their new speeds? V₂= (e) What is the new rotational energy of the system? KE- (f) How much work is done by the astronauts in shortening the rope? W=

Two astronauts, each having a mass M, are connected by a rope of length d having negligible mass. They are isolated in space, orbiting their center of mass at speeds v. (Use any variable or symbol stated above as necessary.) Center of gravity (a) Calculate the magnitude of the angular momentum of the system by treating the astronauts as particles. 4- (b) Calculate the rotational energy of the system. KE- By pulling on the rope, the astronauts shorten the distance between them to d/2. (c) What is the new angular momentum of the system? 4f= (d) What are their new speeds? V₂= (e) What is the new rotational energy of the system? KE- (f) How much work is done by the astronauts in shortening the rope? W=

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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