Question: An ice skater spinning with outstretched arms has an angular speed of 4.0 rad/s. She tucks in her arms, decreasing her moment of inertia by

An ice skater spinning with outstretched arms has an angular speed of 4.0 rad/s. She tucks in her arms, decreasing her moment of inertia by 7.5%.
(a) What is the resulting angular speed?
(b) By what factor does the skater’s kinetic energy change? (Neglect any frictional effects.)
(c) Where does the extra kinetic energy come from?

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