AP Physics 1 Question 309: Answer and Explanation

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Question: 309

7. A pendulum with a ball of mass m hanging from a string of length l is set in motion on Earth, and the system is found to have a frequency of f. If the length of the string were doubled, the hanging mass tripled, and the system moved to the moon, what would be the new frequency?

NOTE: Acceleration due to gravity of the Moon is approximately of Earth's.

  • A.
  • B.
  • C.
  • D. 12f

Correct Answer: B



The frequency of a pendulum is f = . Therefore, the change in mass would have no effect on the system, and the others would change the equation to f = . Thus, the original frequency f will become .