Two astronauts, each having a mass of 80.0 kilogram, are connected by a 9.0 meter rope of negligible mass. They are isolated in space, orbiting their center of mass at speeds of 5.30 m/s.
(a) Treating the astronauts as particles, find the magnitude of the angular momentum.
kg•m2/s
(b) Determine the rotational energy of the system.
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(c) By pulling on the rope, one of the astronauts shortens the distance between them to 5.00 meter. Obtain the new angular momentum of the system?
kg•m2/s
(d) Find what are the astronauts new speeds?
m/s
(e) Determine the new rotational energy of the system?
J
(f) Determine how much work does the astronaut do in shortening the rope?
kJ