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? 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
Chapter2: Vectors
Section: Chapter Questions
Problem 51P: In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind...
icon
Related questions
Question

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 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?
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 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? 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
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems
Physics
ISBN:
9780534408961
Author:
Stephen T. Thornton, Jerry B. Marion
Publisher:
Cengage Learning
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Glencoe Physics: Principles and Problems, Student…
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill
University Physics Volume 2
University Physics Volume 2
Physics
ISBN:
9781938168161
Author:
OpenStax
Publisher:
OpenStax
College Physics
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College