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2 Astronaut Rescue In outer space, high above the surface of Mars, a daring rescue is attempted as astronaut Mark Watney hurtles at 3 m/s relative to Commander Melissa Lewis who holds on to one end of an effectively massless tether. When Watney reaches the tether he is traveling perpendicularly to it and is 5 m from Lewis; each of them have a mass of 80 kg. Problem 2.1. In the CoM reference frame for this system, what are the speeds of each astronaut when Watney reaches the tether? Problem 2.2. What is the angular momentum of the two astro- nauts about the гCOM? Problem 2.3. If Watney catches the tether, how much force FLewis must Lewis exert to pull on the tether as the two astronauts begin orbiting their CoM? Problem 2.4. To rescue him, Commander Lewis then pulls in the tether until she and Watney are only separated by 0.5m. What force does she then have to exert on the tether at this point? 3 m/s

2 Astronaut Rescue In outer space, high above the surface of Mars, a daring rescue is attempted as astronaut Mark Watney hurtles at 3 m/s relative to Commander Melissa Lewis who holds on to one end of an effectively massless tether. When Watney reaches the tether he is traveling perpendicularly to it and is 5 m from Lewis; each of them have a mass of 80 kg. Problem 2.1. In the CoM reference frame for this system, what are the speeds of each astronaut when Watney reaches the tether? Problem 2.2. What is the angular momentum of the two astro- nauts about the гCOM? Problem 2.3. If Watney catches the tether, how much force FLewis must Lewis exert to pull on the tether as the two astronauts begin orbiting their CoM? Problem 2.4. To rescue him, Commander Lewis then pulls in the tether until she and Watney are only separated by 0.5m. What force does she then have to exert on the tether at this point? 3 m/s

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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2 Astronaut Rescue In outer space, high above the surface of Mars, a daring rescue is attempted as astronaut Mark Watney hurtles at 3 m/s relative to Commander Melissa Lewis who holds on to one end of an effectively massless tether. When Watney reaches the tether he is traveling perpendicularly to it and is 5 m from Lewis; each of them have a mass of 80 kg. Problem 2.1. In the CoM reference frame for this system, what are the speeds of each astronaut when Watney reaches the tether? Problem 2.2. What is the angular momentum of the two astro- nauts about the гCOM? Problem 2.3. If Watney catches the tether, how much force FLewis must Lewis exert to pull on the tether as the two astronauts begin orbiting their CoM? Problem 2.4. To rescue him, Commander Lewis then pulls in the tether until she and Watney are only separated by 0.5m. What force does she then have to exert on the tether at this point? 3 m/s
Transcribed Image Text:2 Astronaut Rescue In outer space, high above the surface of Mars, a daring rescue is attempted as astronaut Mark Watney hurtles at 3 m/s relative to Commander Melissa Lewis who holds on to one end of an effectively massless tether. When Watney reaches the tether he is traveling perpendicularly to it and is 5 m from Lewis; each of them have a mass of 80 kg. Problem 2.1. In the CoM reference frame for this system, what are the speeds of each astronaut when Watney reaches the tether? Problem 2.2. What is the angular momentum of the two astro- nauts about the гCOM? Problem 2.3. If Watney catches the tether, how much force FLewis must Lewis exert to pull on the tether as the two astronauts begin orbiting their CoM? Problem 2.4. To rescue him, Commander Lewis then pulls in the tether until she and Watney are only separated by 0.5m. What force does she then have to exert on the tether at this point? 3 m/s
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