4. In outer space, high above the surface of Mars, a daring rescue is attempted as astronaut Mark Watney hurtles at 3 m/

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4 In Outer Space High Above The Surface Of Mars A Daring Rescue Is Attempted As Astronaut Mark Watney Hurtles At 3 M 1 (228.77 KiB) Viewed 32 times

4. 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 onto 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. 3 m/s A) In the C.O.M. reference frame for this system, what are the speeds of each astronaut when Watney reaches the tether? B) In this frame, what is the angular momentum of the two astronauts about the FC.O.M.? C) If Watney catches the tether, how much force must Lewis pull on it as they beginning orbiting their C.O.M.? D) To get a sense of the magnitude of this force, supporting what amount of mass on Earth requires this force? E) To rescue him, Commander Lewis then pulls in the tether until she and Watney are only separated by 0.5m. Using the fact that angular momentum is conserved for the two-astronaut- and-tether system, what force does she then have to exert on the tether at this point? F) Supporting what amount of mass on Earth requires this force? Based on your answer does this scenario seem realistic or more like a Hollywood movie?