wo astronauts, each having a mass of 75.5 kg, are connected by a 10 reating the astronauts as particles, calculate each of the following. E Center of gravity (a) the magnitude of the angular momentum of the system

Principles of Physics: A Calculus-Based Text
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Chapter10: Rotational Motion
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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 75.5 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 4.90 m/s.
Treating the astronauts as particles, calculate each of the following.
Center of gravity
(a) the magnitude of the angular momentum of the system
kg-m²/s
(b) the rotational energy of the system
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?
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 75.5 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 4.90 m/s. Treating the astronauts as particles, calculate each of the following. Center of gravity (a) the magnitude of the angular momentum of the system kg-m²/s (b) the rotational energy of the system 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? 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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