Problem

Two astronauts, both 80 kg, are connected in space by a light cable. When they are 10 m apart, they spin about their center of mass with 6 rad/s. Calculate the new angular speed they’ll have if they pull on the rope to reduce their distance to 5 m. You may treat them as point masses, and assume they continue to spin around their center of mass.

A

ω_{f} = 1.5 rad/s

B

ω_{f} = 4 rad/s

C

ω_{f} = 6 rad/s

D

ω_{f} = 24 rad/s

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