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

University Physics Volume 1
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Chapter5: Newton's Law Of Motion
Section: Chapter Questions
Problem 2CQ: Taking a frame attached to Earth as inertial, which of the following objects cannot have inertial...
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Solve the two first question please

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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