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AP Physics C: Mechanics
6.4 Conservation of Angular Momentum
6.1 Rotational Kinetic Energy
BeginnerMCQMathematicalProportional Analysis22.5k
A uniform spherical star of mass \(M\) and initial radius \(R_0\) rotates with angular speed \(\omega_0\). The star undergoes gravitational collapse, shrinking uniformly to a final radius \(R_f = \dfrac{R_0}{n}\) (where \(n > 1\)) with no change in mass or spherical shape. Assuming no external torques act on the star, what is the ratio of the star's final rotational kinetic energy to its initial rotational kinetic energy, \(\dfrac{K_f}{K_i}\)?

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