A diving board has length $5.0\,\text{m}$ and is hinged at one end. It is held up $2.0\,\text{m}$ from that end by a spring with spring constant $10\,\text{kN m}^{-1}$. A child with mass $40\,\text{kg}$ stands at the outer end of the board. What additional compression does the spring experience because of the child standing on the end of the board?
- A$1.0\,\text{cm}$
- B$1.6\,\text{cm}$
- C$9.8\,\text{cm}$
- D$16\,\text{cm}$