Two astronauts, each having a mass of 92.5 kg, are connected by a 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 4.00 m/s. Treating the astronauts as particles, calculate each of the following. (a) What are their new speeds? (b) What is the new rotational energy of the system? (c) How much work is done by the astronauts in shortening the rope?

Two astronauts, each having a mass of 92.5 kg, are connected by a 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 4.00 m/s. Treating the astronauts as particles, calculate each of the following. (a) What are their new speeds? (b) What is the new rotational energy of the system? (c) How much work is done by the astronauts in shortening the rope?