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Assuming that the motion of the hydrogen atom is simple harmonic, its frequency of oscillation, f, is given by the expression:

f = 1 / 2π * √(k/m)

where k is the force per unit displacement between a hydrogen atom and the carbon atom and the m is the mass of a proton.

(i) Show that the value of k is approximately 560 N/m

(From previous parts of this question I knew: f = 9.1 x 10^{13}Hz and the mass was 1.7 x 10^{-27}

I managed to do this question by rearranging and plugging the numbers in the formula

However, I am having problems with part (ii)

(ii) Estimate, using your answers to (c)(i), the maximum acceleration of the hydrogen atom.

I am thinking either F = ma, where F = kx. In this case, the k I got from the previous question would be the constant k, or the F itself?

Or use a = -ω^{2}x, using the maximum displacement (I have it from previous part of the question)

How should I approach the second part with the F = ma format? Is it possible to tackle the problem in those two ways?

Thanks,

Peter G.

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# Simple Harmonic Motion - Acceleration

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