Two astronauts, each having a mass of 93.5 kg, are connected by a 10.0 m rope of negligible mass. They are isolated in space, moving in circles...

Two astronauts, each having a mass of 93.5 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 4.50 m/s. Treating the astronauts as particles, calculate each of the following.