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Two astronauts, each having a mass M, are connected by a rope of length d having negligible mass. They are isolated in space, orbiting their center of mass at speeds v. (Use any variable or symbol stated above as necessary.) By pulling on the rope, one of the astronauts shortens the distance between them to d/9.

a) What is the new angular momentum of the system?

Lf=___

b) What are the astronauts new speeds?

Vf=___

c) What is the new rotational energy of the system?

Kf=___

d) How much chemical potential energy in the body of the astronaut was converted to mechanical energy in the system when he shortened the rope?

W=___

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