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Two astronauts (figure), each having a mass of 80.0 kg, are connected by a d = 9.0-m rope of negligible mass. They are isolated in space, orbiting their center of mass at speeds of 5.30 m/s. CM (a) Treating the astronauts as particles, calculate the magnitude of the angular momentum of the two-astronaut system. 3816.00 ✓kg-m²/s (b) Calculate the rotational energy of the system. 2247.20 X You know the speed and mass of each astronaut. How do you calculate the kinetic energy? Does it matter that the motion is circular? kJ (c) By pulling on the rope, one astronaut shortens the distance between them to 5.00 m. What is the new angular momentum of the system? 3816 kg - m²/s (d) What are the astronauts' new speeds? m/s (e) What is the new rotational energy of the system? kJ (f) How much chemical potential energy in the body of the astronaut was converted to mechanical energy in the system when he shortened the rope? kJ

Two astronauts (figure), each having a mass of 80.0 kg, are connected by a d = 9.0-m rope of negligible mass. They are isolated in space, orbiting their center of mass at speeds of 5.30 m/s. CM (a) Treating the astronauts as particles, calculate the magnitude of the angular momentum of the two-astronaut system. 3816.00 ✓kg-m²/s (b) Calculate the rotational energy of the system. 2247.20 X You know the speed and mass of each astronaut. How do you calculate the kinetic energy? Does it matter that the motion is circular? kJ (c) By pulling on the rope, one astronaut shortens the distance between them to 5.00 m. What is the new angular momentum of the system? 3816 kg - m²/s (d) What are the astronauts' new speeds? m/s (e) What is the new rotational energy of the system? kJ (f) How much chemical potential energy in the body of the astronaut was converted to mechanical energy in the system when he shortened the rope? kJ

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Two astronauts (figure), each having a mass of 80.0 kg, are connected by a d = 9.0-m rope of negligible mass. They are isolated in space, orbiting their center of mass at speeds of 5.30 m/s. (a) Treating the astronauts as particles, calculate the magnitude of the angular momentum of the two-astronaut system. 3816.00 ✓kg-m²/s (b) Calculate the rotational energy of the system. 2247.20 X You know the speed and mass of each astronaut. How do you calculate the kinetic energy? Does it matter that the motion is circular? kJ CM (c) By pulling on the rope, one astronaut shortens the distance between them to 5.00 m. What is the new angular momentum of the system? 3816 kg. m²/s (d) What are the astronauts' new speeds? m/s (e) What is the new rotational energy of the system? kJ (f) How much chemical potential energy in the body of the astronaut was converted to mechanical energy in the system when he shortened the rope? kJ Need Help? Read It Master It
Transcribed Image Text:Two astronauts (figure), each having a mass of 80.0 kg, are connected by a d = 9.0-m rope of negligible mass. They are isolated in space, orbiting their center of mass at speeds of 5.30 m/s. (a) Treating the astronauts as particles, calculate the magnitude of the angular momentum of the two-astronaut system. 3816.00 ✓kg-m²/s (b) Calculate the rotational energy of the system. 2247.20 X You know the speed and mass of each astronaut. How do you calculate the kinetic energy? Does it matter that the motion is circular? kJ CM (c) By pulling on the rope, one astronaut shortens the distance between them to 5.00 m. What is the new angular momentum of the system? 3816 kg. m²/s (d) What are the astronauts' new speeds? m/s (e) What is the new rotational energy of the system? kJ (f) How much chemical potential energy in the body of the astronaut was converted to mechanical energy in the system when he shortened the rope? kJ Need Help? Read It Master It
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