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 rcom? 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? Problem 2.5. To get a sense of the magnitude of this force (from part 4), what would be the equivalent mass on Earth that would require this force to be supported? Based on your answer does this scenario seem realistic? 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 rcom? 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? Problem 2.5. To get a sense of the magnitude of this force (from part 4), what would be the equivalent mass on Earth that would require this force to be supported? Based on your answer does this scenario seem realistic? 3 m/s

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter3: Motion Along A Straight Line

Section: Chapter Questions

Problem 3.1CYU: Check your Understanding A cyclist rides 3 km west and then tune around and tides 2 kin east. (a)...

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