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Conservation of angular momentum. Suppose a ball (I=(2/5) * MR 2 ) with initial mass of 4.77kg and radius 0.45m is rotating at a rate

  1. Conservation of angular momentum.

Suppose a ball (I=(2/5) * MR2) with initial mass of 4.77kg and radius 0.45m is rotating at a rate of 34rpm. It starts leaking its contents, and after a short while it is observed to have a radius of 0.37m and a rate of rotation of 84rpm. How much mass has it lost?

(note, you can solve this without unit conversion, or calculating moment of inertia explicitly)

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