Physics 9702 · AS & A Level · Energy in simple harmonic motion

Energy in simple harmonic motion — practice question

Fig. 4.1 illustrates how the height $h$ above the ground changes with time $t$ for an object of mass $36\,\text{kg}$ moving in vertical simple harmonic motion.
(a(i))[1]

For the object's oscillations, find the amplitude $x_{0}$, in cm.

(a(ii))[2]

For the object's oscillations, show that the angular frequency $\omega$ is $1.6\,\text{rad s}^{-1}$.

(a(iii))[3]

For the object's oscillations, determine the total energy $E$.

(b)[4]

On Fig. 4.2, sketch how the kinetic energy $E_K$ of the object varies with $h$.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: $x_0 = 8.0\ \text{cm}$

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