(Solved): (17\%) Problem 4: Consider the parallel-plate capacitor shown in the figure. The plate separation ...

(17\%) Problem 4: Consider the parallel-plate capacitor shown in the figure. The plate separation is \( 1.6 \mathrm{~mm} \) and the the electric field inside is \( 11 \mathrm{~N} / \mathrm{C} \). An electron is positioned halfway between the plates and is given some initial velocity, \( v_{\mathrm{i}} \). Randomized Variables \[ \begin{array}{l} d=1.6 \mathrm{~mm} \\ E=11 \mathrm{~N} / \mathrm{C} \end{array} \] \& 50\% Part (a) What speed, in meters per second, must the electron have in order to make it to the negatively charged plate? \[ v_{\mathrm{i}, \mathrm{a}}=6.18 * 10^{(9)} \] \( v_{\mathrm{i}, \mathrm{a}}=6.18 \mathrm{E}+9 \quad \mathrm{X} \) Attempts Remain A \( 50 \% \) Part (b) If the electron has half the speed needed to reach the negative plate, it will turn around and go towards the positiv speed be, in meters per second, when it reaches the positive plate in this case?