A horizontal spring–mass oscillator has total mechanical energy

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

Problem

A horizontal spring–mass oscillator has total mechanical energy 0.80 J0.80\,\text{J}. At an instant when its kinetic energy is 0.20 J0.20\,\text{J}, the spring constant is 400 N m−1400\,\text{N\,m}^{-1}. Calculate the magnitude of displacement of the mass from equilibrium. (a) 6.3 cm6.3\,\text{cm} (b) 3.9 cm3.9\,\text{cm} (c) 5.5 cm5.5\,\text{cm} (d) 3.2 cm3.2\,\text{cm}

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