Physics 9702 · AS & A Level · Energy in simple harmonic motion
Energy in simple harmonic motion — practice question
A spring hangs a mass of $78\,\text{g}$ from a fixed point, as shown in Fig. 3.1. The mass at rest is moved vertically downward by $2.1\,\text{cm}$ and then let go. It is seen to execute simple harmonic motion with a period of $0.69\,\text{s}$. The release occurs at time $t = 0$.
(a(i))[2]
Calculate the angular frequency $\omega$ for the mass’s oscillations.
(a(ii)(1))[2]
Determine a numerical equation for how the displacement $x$ in $\text{cm}$ varies with time $t$.
(a(ii)(2))[2]
Determine a numerical equation for how the speed $v$ in $\text{m s}^{-1}$ varies with time $t$.
(a(ii)1)[2]
Determine numerical equations for how the displacement $x$ in $\text{cm}$ varies with time $t$.
(a(ii)2)[2]
Determine numerical equations for how the speed $v$ in $\text{m s}^{-1}$ varies with time $t$.
(b)[2]
Calculate the total oscillation energy of the mass.
Worked solution & mark scheme
This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Application of $\omega = \dfrac{2\pi}{T}$” …