Halliday, Resnick & Walker — Oscillations: Problem Problem_81

A simple harmonic oscillator consists of a 0.50 kg block attached to a spring. The block slides back and forth along a straight line on a frictionless surface with equilibrium point \( x = 0 \). At \( t = 0 \) the block is at \( x = 0 \) and moving in the positive x direction. A graph of the magnitude of the net force \( F \) on the block as a function of its position is shown in Fig. 15.36. The vertical scale is set by \( F_s = 75.0 \text{ N} \). What are (a) the amplitude and (b) the period of the motion, (c) the magnitude of the maximum acceleration, and (d) the maximum kinetic energy?