Starting from rest, an electron is accelerated through a region between two oppositely charged plates, as shown in Figure 1. The distance between the plates is 10 cm and the magnitude of the potential difference between them is 100 V. The electron exits the region with the uniform electric field (between the plates) through a small hole in the positive plate. It immediately enters a region with a uniform magnetic field of 0.85 T, directed into the page.

Please show all steps and equations! Diagrams are encouraged aswell

(a) Calculate the magnitude of the electric force on the electron.

(b) Calculate the work done by the electric force on the electron.

(c) Determine the electron's speed when it enters the magnetic field.

(d) Determine the magnitude and direction of the magnetic force on the electron when it enters the magnetic field.

(e) Suppose that the experiment was repeated with the locations of the positive and negative plates switched, and the electron was replaced with a proton, but nothing else was changed. Calculate Rp/Re, the ratio of the radius of the proton's path in the magnetic field (Rp) to that of the electron (Re).