G = 6.67 ×10−11 m3/kg/s^2Some people claim that the location of Jupiter can have dramatic consequences on human events on Earth. For comparison to the last problem, what is the force of gravity due to a 100 kg person hugging a 52.0 kg ASTR 110 student. Assume the distance between the students is 0.3 meters.

Two astronauts, of masses 54 kg and 84 kg, are initially at rest in outer space.  They push each other apart.  What is their separation after the lighter astronaut has moved 12 m? Round your answer to the nearest meter.

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 TC.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…

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