Two astronauts (Fig P11.51), each having a mass of 75.0 kg, are connected by a 10.0-m rope of negligible mass. They are isolated in space, orbiting their center of mass at speeds of 5.00 m/s. treating the astronauts as particles, calculate
(a) The magnitude of the angular momentum of the system and
(b) The rotational energy of the system. By pulling on the rope, one of the astronauts shortens the distance between them to 5.00 m.
(c) What is the new angular momentum of the system?
(d) What are the astronautsâ new speeds?
(e) What is the new rotational energy of the system?
(f) How much work does the astronaut do in shortening the rope?