Two astronauts, each having a mass of 89.0 kg, are connected by a 10.0-m rope of negligible mass. They are isolated in space, moving in circles around the point halfway between them at a speed of 5.90 m/s. Treating the astronauts as particles, calculate each of the following. CG d (a) the magnitude of the angular momentum of the system 5251 kg. m²/s (b) the rotational energy of the system 3.09 kJ (d) What are their new speeds? m/s By pulling on the rope, the astronauts shorten the distance between them to 5.00 m. (c) What is the new angular momentum of the system? 5251 kg. m²/s (e) What is the new rotational energy of the system? KJ (f) How much work is done by the astronauts in shortening the rope? KJ

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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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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Two astronauts, each having a mass of 89.0 kg, are connected by a 10.0-m rope of negligible mass. They are isolated in space, moving in
circles around the point halfway between them at a speed of 5.90 m/s. Treating the astronauts as particles, calculate each of the following.
CG
X
d
(a) the magnitude of the angular momentum of the system
5251
kg. m²/s
(b) the rotational energy of the system
3.09
kJ
By pulling on the rope, the astronauts shorten the distance between them to 5.00 m.
(c) What is the new angular momentum of the system?
5251
✓kg .m²/s
(d) What are their new speeds?
m/s
(e) What is the new rotational energy of the system?
KJ
(f) How much work is done by the astronauts in shortening the rope?
KJ
Transcribed Image Text:Two astronauts, each having a mass of 89.0 kg, are connected by a 10.0-m rope of negligible mass. They are isolated in space, moving in circles around the point halfway between them at a speed of 5.90 m/s. Treating the astronauts as particles, calculate each of the following. CG X d (a) the magnitude of the angular momentum of the system 5251 kg. m²/s (b) the rotational energy of the system 3.09 kJ By pulling on the rope, the astronauts shorten the distance between them to 5.00 m. (c) What is the new angular momentum of the system? 5251 ✓kg .m²/s (d) What are their new speeds? m/s (e) What is the new rotational energy of the system? KJ (f) How much work is done by the astronauts in shortening the rope? KJ
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