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AP Physics 1
6.4 Conservation of Angular Momentum
6.3 Angular Momentum and Angular Impulse
6.1 Rotational Kinetic Energy
IntermediateMCQProportional AnalysisConceptual22.9k
A two-part diagram showing a figure skater. In Part 1, the skater has arms and one leg extended horizontally, spinning about a vertical dashed axis with a curved arrow labeled omega_0. A label below reads I_0. In Part 2, the skater has their arms and legs pulled tight against their body, spinning about the same vertical dashed axis with a larger curved arrow labeled omega_f. A label below reads I_f = 1/3 I_0.
A figure skater spinning on frictionless ice in two different configurations.
A figure skater is spinning on a horizontal sheet of ice with negligible friction. Initially, the skater has rotational inertia \(I_0\) and is spinning with angular velocity \(\omega_0\). The skater then pulls their arms and legs inward toward their axis of rotation, reducing their rotational inertia to \(I_f = \dfrac{1}{3} I_0\). Which of the following correctly identifies the skater's final angular velocity \(\omega_f\) and final rotational kinetic energy \(K_f\) in terms of their initial values?

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