CAPE Physics Unit 1 · 2008 (Rest of Region) · Paper 1 · Question Q19

A child's swing of mass 10\text{ kg} is oscillating with simple harmonic motion where the maximum height reached is 0.5\text{ m} above the equilibrium position. The following table shows pairs of energy values during the oscillation. Which pair is NOT possible? \begin{array}{|c|c|c|} \hline & \text{PE/J} & \text{KE/J} \\ \hline \text{(A)} & 0 & 49 \\ \text{(B)} & 18 & 31 \\ \text{(C)} & 38 & 13 \\ \text{(D)} & 49 & 0 \\ \hline \end{array}

1. (A)\text{PE} = 0\text{ J},\quad \text{KE} = 49\text{ J}
2. (B)\text{PE} = 18\text{ J},\quad \text{KE} = 31\text{ J}
3. (C)\text{PE} = 38\text{ J},\quad \text{KE} = 13\text{ J}
4. (D)\text{PE} = 49\text{ J},\quad \text{KE} = 0\text{ J}