An ice skater is spinning on frictionless ice with her armsextended outward. She

Question

An ice skater is spinning on frictionless ice with her armsextended outward. She then pulls her arms in towards her body,reducing her moment of inertia. Her angular momentum is conserved,so as she reduces her moment of inertia, her angular velocityincreases and she spins faster. Compared to her initial rotationalkinetic energy, her final rotational kinetic energy is ...
A. Smaller because her moment of inertia is smaller B. Larger because her angular speed is larger C. The same
A. Smaller because her moment of inertia is smaller B. Larger because her angular speed is larger C. The same

Explanation / Answer

since the ice is frictionless and there are no external forcesacting on her, both her angular momentum and rotational kineticenergy will be conserved. the answer is C) thesame

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