Two astronauts each having a mass of 75.0 kg, are connected by a 9.5 m rope of negligible mass. They are isolated in space, orbiting their center of mass at speeds of 4.50 m/s. (a) Treating the astronauts as particles, calculate the magnitude of the angular momentum. kg·m2/s (b) Calculate 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 does the astronaut do in shortening the rope? kJ
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