$51$ Figure $10-40$ shows a uniform disk that can rotate around its center like a merry$-$go$-$round. The disk has a radius of $2\mathrm{.}00$ cm and a mass of $20\mathrm{.}0$ grams and is initially at rest. Starting at time $t=0,$ two forces are to be applied tangentially to the rim as indicated, so that at time $t=1\mathrm{.}25s$ the disk has an angular velocity of $250ra\frac{d}{s}$ counterclockwise. Force $\frac{?}{\text{b}\text{a}\text{r}}(F{)}_1$ has a magnitude of $0\mathrm{.}100$ N $.$ What is magnitude $F_2?$