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Period of simple harmonic oscillators

AP.PHYS: INT‑3.B.3 (EK), INT‑3.B.3.1 (LO), INT‑3.B.3.3 (LO)
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Astronauts transport a pendulum that has a period of 1, start text, s, end text on Earth to another planet, Xircon-4. The pendulum has a 0, point, 50, start text, k, g, end text mass attached to a massless cord of length L, start subscript, E, end subscript. The gravitational field on Xircon-4, g, start subscript, x, end subscript, is 10, point, 8, start text, m, slash, s, end text, squared.
To give the pendulum a period of 1, start text, s, end text on Xircon-4, by how much should the astronauts adjust the pendulum?
Write your answer to two significant figures.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
start text, m, end text