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

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Chapter2: Vectors
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2.3 and 2.4.

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
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 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
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