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A mass is hanging on a spring and vibrating up and down with a period that you can measure. You replace the spring with a spring that has twice the original spring constant.

Which of the following corresponding changes must also occur if the period of the spring is to remain the same?


Double the mass on the spring.


Double the amplitude of the spring's vibration.


Put half the mass on the spring.


Reduce the amplitude of the vibration by one-half.

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