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AP Physics 1
6.4 Conservation of Angular Momentum
6.1 Rotational Kinetic Energy
IntermediateMCQMathematicalConceptual17k
Two panels showing a figure skater. In the first panel, the skater has arms and one leg extended outward from their body while spinning on one skate. In the second panel, the skater has pulled their arms and leg tightly against their body while continuing to spin on the same skate. A vertical dashed line represents the axis of rotation passing through the center of the skater's body in both panels.
A figure skater changing their rotational inertia by repositioning their limbs.
A figure skater with an initial rotational inertia \(I_0\) is spinning on ice with an initial angular velocity \(\omega_0\). Friction between the skater's blades and the ice is negligible. The skater pulls their arms and one leg inward toward their axis of rotation, which decreases their rotational inertia to a final value \(I_f\). Let \(K_0\) represent the initial rotational kinetic energy of the skater. Which of the following expressions correctly represents the skater's final rotational kinetic energy \(K_f\)?

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