A diving board with a length of $5.0\,\text{m}$ is hinged at one end and is supported $2.0\,\text{m}$ from that end by a spring of spring constant $10\,\text{kN m}^{-1}$. A child of mass $40\,\text{kg}$ stands at the free end of the board. How much extra compression does the spring undergo 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$16\,\text{cm}$