A mass attached to a spring passes through the equilibrium position with speed at

PHYSICS · Subjective · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

A 250 g250\,\text{g} mass attached to a spring passes through the equilibrium position with speed 0.80 m s−10.80\,\text{m\,s}^{-1} at t=0t = 0. The next instant at which its kinetic energy equals its potential energy is at t=0.35 st = 0.35\,\text{s}. (i) Calculate the angular frequency of oscillation. (ii) Determine the time period. (iii) Hence, find the amplitude of motion and the force constant of the spring. (Take π=3.14\pi = 3.14.)

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