Two astronauts, each having a mass of 82.0 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 4.90 m/s. Treating the astronauts as particles, calculate each of the following. Two astronauts are connected by a taut horizontal rope of length d. They rotate counterclockwise about a point labeled CG at the midpoint of the rope.

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Two astronauts, each having a mass of 82.0 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 4.90 m/s. Treating the astronauts as particles, calculate each of the following.

Two astronauts are connected by a taut horizontal rope of length d. They rotate counterclockwise about a point labeled CG at the midpoint of the rope.
(a) the magnitude of the angular momentum of the system
kg · m2/s

(b) the rotational energy of the system

Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. kJ


By pulling on the rope, the astronauts shorten the distance between them to 5.00 m.

(c) What is the new angular momentum of the system?
kg · m2/s

(d) What are their new speeds?
m/s

(e) What is the new rotational energy of the system?

Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. kJ

(f) How much work is done by the astronauts in shortening the rope?
kJ

 

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