Two astronauts (Fig. P11.55), each having a mass of75.0 kg, are connected by a 10.0-m

Chapter 11, Problem 55

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Two astronauts (Fig. P11.55), each having a mass of75.0 kg, are connected by a 10.0-m rope of negligiblemass. They are isolated in space, orbiting their center of mass at speeds of 5.00 m/s. Treating the astronautsas particles, calculate (a) the magnitude of the angularmomentum of the two-astronaut system and (b) therotational energy of the system. By pulling on the rope,one astronaut shortens the distance between them to5.00 m. (c) What is the new angular momentum ofthe system? (d) What are the astronauts new speeds?(e) What is the new rotational energy of the system?(f) How much chemical potential energy in the bodyof the astronaut was converted to mechanical energy inthe system when he shortened the rope?

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