5. [SB5 11.P.59.] Two astronauts, each having a mass of 73.0 kg, are connected by a 10.5 m rope of negligible mass. They are isolated in space, orbiting their center of mass at speeds of 5.00 m/s. |
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(a) Treating the astronauts as particles, calculate the magnitude of the angular momentum kg · m2/s (b) and the rotational energy of the system. J (c) By pulling on the rope, one of the astronauts shortens the distance between them to 5.00 m. What is the new angular momentum of the system? kg · m2/s (d) What are the astronauts' new speeds? m/s (e) What is the new rotational energy of the system? J (f) How much work is done by the astronaut in shortening the rope? kJ
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