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A ball is spun attached to a massless string that is very much longer than the diameter of the ball, with an angular velocity $\omega_{0}$. The mass of the ball magically doubles while the angular velocity and the string remain unchanged.

What conclusions can be drawn?


The kinetic energy of the larger ball is increased but the angular momentum remains the same.


The kinetic energy of the ball and the angular momentum are both increased


The kinetic energy of the ball remains the same but the angular momentum increases.


Both the kinetic energy and angular momentum of the ball remain the same.

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