2. Two astronauts (figure), each having a mass of 70.0 kg,are connected by a d = 9.0-m rope of negligible mass. Theyare isolated in space, orbiting their center of mass at speedsof 5.50 m/s.СМd(a) Treating the astronauts as particles, calculate themagnitude of the angular momentum of the two-astronautsystem.(b) Calculate the rotational energy of the system.(c) By pulling on the rope, one astronaut shortens thedistance between them to 5.00 m. What is the new angularmomentum of the 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 body of theastronaut was converted to mechanical energy in the systemwhen he shortened the rope?

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