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
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
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contine the other three d,e,f
![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.
Illustration Description:
- Two astronauts are shown connected by a rope with a length \(d = 10.0\) meters.
- The center of gravity (CG) is marked as the midpoint of the rope.
- Arrows indicate the circular motion of the astronauts around the CG.
(a) The magnitude of the angular momentum of the system:
\[ \text{5251 kg} \cdot \text{m}^2/\text{s} \]
(b) The rotational energy of the system:
\[ \text{3.09 kJ} \]
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?
\[ \text{5251 kg} \cdot \text{m}^2/\text{s} \]
(d) What are their new speeds?
\[ \text{ m/s} \]
(e) What is the new rotational energy of the system?
\[ \text{ kJ} \]
(f) How much work is done by the astronauts in shortening the rope?
\[ \text{ kJ} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb1c61327-e0b8-4583-a699-e9871ed0c0f0%2Fc823c82c-193f-4962-9d1e-60cdc408e972%2Fw4m38n4_processed.png&w=3840&q=75)
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.
Illustration Description:
- Two astronauts are shown connected by a rope with a length \(d = 10.0\) meters.
- The center of gravity (CG) is marked as the midpoint of the rope.
- Arrows indicate the circular motion of the astronauts around the CG.
(a) The magnitude of the angular momentum of the system:
\[ \text{5251 kg} \cdot \text{m}^2/\text{s} \]
(b) The rotational energy of the system:
\[ \text{3.09 kJ} \]
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?
\[ \text{5251 kg} \cdot \text{m}^2/\text{s} \]
(d) What are their new speeds?
\[ \text{ m/s} \]
(e) What is the new rotational energy of the system?
\[ \text{ kJ} \]
(f) How much work is done by the astronauts in shortening the rope?
\[ \text{ kJ} \]
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