A bow with a mass of $400\,\text{g}$ propels an arrow of mass $120\,\text{g}$ straight upwards. Immediately before release, the bow stores $80\,\text{J}$ of potential energy. The efficiency of the system is $28\%$. What height does the arrow reach if air resistance is ignored?
- A$4\,\text{m}$
- B$19\,\text{m}$
- C$187\,\text{m}$
- D$243\,\text{m}$