1. (12 pts) Caroline takes her baby sister Hannah to the neighborhood park and places her in the seat of the children's swing. Caroline pulls the \(L = 1.8 \mathrm{m}\) long chain back to make an angle \(\theta = 26^{\circ}\) with respect to the vertical and lets \(14 \mathrm{kg}\) Hannah (swing mass included) go. (a) Determine Hannah's speed at the lowest point in the trajectory. (b) What is the tension in the swing chain at this low point? Assume the chain itself has negligible mass.