Atoms in a solid are not stationary, but vibrate about their equilibrium positions. Typically, the frequency...

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Physics

Atoms in a solid are not stationary, but vibrate about theirequilibrium positions. Typically, the frequency of vibration isabout f = 4.60 x 1012 Hz, and the amplitude is about 3.55 x 10-11m. For a typical atom, what is its (a) maximum speed and (b)maximum acceleration?

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We can find the maximum speed and acceleration by considering the general formula for simple harmonic motion Simple harmonic motion is defined as the motion of a particle experiencing an acceleration proportional to its distance from a point with the acceleration pointing towards the point In essence a k x A solution to this second order differential equation is through the usage of trigonometrical identities and we will exploit the unique characteristics of these trigonometrical identities to calculate the maximum speed and    See Answer
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