In the middle of a spin, a figure skater halved his moment of inertia by bring his arms and leg in. Ignoring friction from the ice, his angular momentum will: Question 23 options: None of these. be halved. be doubled. Stays the same.

3. 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 speed v. Treating the astronauts as particles, calculate a) the magnitude of the angular momentum of the two-astronaut system b) the rotational energy of the system c) By pulling on the rope, one of the astronauts shortens the distance between them to d/2. What is the new angular momentum of the system? d) What are the astronauts' new speeds? e) What is the new rotational energy of the system? Where did the extra energy come from?

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8) The rotational inertia about the center of a figure skater is 2.5 kg-m2 while her arms are outstretched and 1.5 kg-m2 while her arms are folded against her body. If she has an angular velocity of 6 rad/s while her arms are outstretched, what would be her angulan velocity while her arms are folded against her body?