Two astronauts each having a mass of 75.0 kg, are connected by a 10.0 m rope of negligible mass. They are isolatedin space,moving in circles around the point halfway between them at a speed of 5.00 m/s. Treating the astronauts asparticles, calculate:a: The magnitude of the angular momentum of the system.b: The rotational energy of the system.c: By pulling on the rope, the astronauts shorten the distance between them to 5.00 m. What is the new angularmomentum of the system?d: What are their new speeds?e: What is the new rotational energy of the system?f: How much work is done by the astronauts in shortening the rope?