A mass is attached to a spring that hangs vertically. The extension produced in the spring is 6\text{ cm} on Earth. The acceleration due to gravity on the surface of the Moon is one-sixth of its value on the surface of the Earth. The extension of the spring on the Moon would be :

  1. A. 6\text{ cm}
  2. B. 1\text{ cm} ✓
  3. C. 0\text{ cm}
  4. D. 36\text{ cm}

Correct Answer: B. 1\text{ cm}

Explanation

Extension x = \frac{mg}{k}. Since g_{moon} = \frac{g_{earth}}{6}, the extension on the Moon will be \frac{1}{6} of that on Earth, which is 1\text{ cm}.

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