A object attached to a spring executes simple harmonic motion on a smooth horizontal table

PHYSICS · Multi-part · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

A 0.20 kg0.20\,\text{kg} object attached to a spring executes simple harmonic motion on a smooth horizontal table. Its maximum speed during the motion is 0.60 m s−10.60\,\text{m\,s}^{-1} and its time period is 0.50 s0.50\,\text{s}. (i) Calculate the amplitude of oscillation. (ii) Determine the force constant of the spring. (iii) Find the magnitude of the displacement of the object when its speed is 0.48 m s−10.48\,\text{m\,s}^{-1}. Give both possible values.

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