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Problem:

A ball attached to the end of a string is swung around in a circular path of radius r. If the radius is kept constant and the speed is doubled.

1. The centripetal acceleration increases by a factor of 4.

2. The centripetal acceleration remains the same.

3. The centripetal acceleration decreases by a factor of 4.

4. The centripetal acceleration increases by a factor of 2.

5. The centripetal acceleration decreases by a factor of 2.

Note: Provide support for your rationale.

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