A single infinitely large conducting sheet with charge density σ is placed vertically at x=8.0 cm and creates a uniform electric field in space. An electron is fired towards the sheet from the origin with an initial speed v₁ = 4.0 x 106 m/s. Assume only electric forces are affecting the electron. Vo 8cm a 2cm If the electron momentarily comes to rest 2 cm in front of the plate at point a: a. Calculate the change in electric potential energy of the electron. b. Calculate the voltage between points 0 and a. Which point is at a higher electric potential? Explain your reasoning. c. Calculate the magnitude and direction of the electric field due to the sheet. d. Calculate the charge density σ on the sheet. (include the appropriate sign).