A typical muscle fiber is $2.0 \mathrm{cm}$ long and has a cross-section area of $3.1 \times 10^{-9} \mathrm{m}^{2} .$ When the muscle fiber is stimulated, it pulls with a force of $1.2 \mathrm{mN}$. What is the work done by the muscle fiber as it contracts to a length of $1.6 \mathrm{cm} ?$