- Hooke's Law: Force (F) = spring constant (k) × extension (x), or F = kx. - Weight (W) = mass (m) × acceleration due to gravity (g). - On Earth: $W_{Earth} = mg_{Earth} = kx_{Earth}$. - On the Moon: $W_{Moon} = mg_{Moon} = kx_{Moon}$.
A mass is attached to a spring that hangs vertically. The extension produced in the spring is 6 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 :
Asked in UPSC NDA 1 2023 · Topic: Mechanics (Simple Harmonic Motion and Damped/Forced Oscillations)
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