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.