A spring stretches by when a mass is hung from it and is in equilibrium

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

A spring stretches by 4.0 cm4.0\,\text{cm} when a 2.0 kg2.0\,\text{kg} mass is hung from it and is in equilibrium. Find the natural angular frequency of small vertical oscillations of the mass (take g=9.8 m s−2g = 9.8\,\text{m\,s}^{-2}). (a) 9.8 rad s−19.8\,\text{rad\,s}^{-1} (b) 7.85 rad s−17.85\,\text{rad\,s}^{-1} (c) 15.7 rad s−115.7\,\text{rad\,s}^{-1} (d) 31.4 rad s−131.4\,\text{rad\,s}^{-1}

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