(Solved): Problem 2: An electron is accelerated by an electric field that in a certain region of space as th ...

Problem 2: An electron is accelerated by an electric field that in a certain region of space as the form \( \vec{E}=10,000\left(1-x^{2}\right) \mathrm{V} / \mathrm{m} \). How much kinetic energy does the electron gain in moving from \( x=0 \), to \( x=1 \) ? What is the speed of the electron? (You may need to look up some fundamental constants of nature in the appendix of your book!)