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Applying angular momentum conservation, calculate the final kinetic energy of the system.

1. KE = mv₀²
2. KE = 2mv₀²
3. KE = 0.5mv₀²
4. KE = 1.5mv₀²

Correct answer: KE = 1.5mv₀²

Solution

Using angular momentum conservation, the system's final kinetic energy is determined by the redistribution of energy due to rotational and translational motion. The correct answer is 1.5mv₀².

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