Two astronauts, each having a mass of 75.0 kg, are connected by 10.0-m rope of negligible mass. They are isolated in space, moving in circles around the point halfway between them at a speed of 5.00 m/s. Treating the astronauts, calculate the rotational energy of the system. By pulling on the rope, the astronauts shorten the distance between them to 5.00 m. What is the new angular momentum of the system? Whats there new speeds? What is the new rotational energy of the system? How much work is done by the astronauts in shortening the rope?