1.(10 points, suggested time 20 minutes)
The figure above shows a particle with positive charge positive +Q traveling with a constant speed v0 to the right and inthe plane of the page. The particle is approaching a region, shown by the dashed box, that contains a constantuniform field. The effects of gravity are negligible.
(a)i. On the figure below, draw a possible path of the particle in the region if the region contains only an electric field directed toward the bottom of the page.
ii. On the figure below, draw a possible path of the particle in the region if the region contains only a magnetic field directed out of the page.
iii.For which of the previous situations is the motion more similar to that of a projectile in only agravitational field near Earth’s surface, and why?
(b) Another region of space contains an electric field directed toward the top of the page and a magnetic field directed out of the page. Both fields are constant and uniform. A horizontal beam of protons with a variety of speeds enters the region, as shown above. Protons exit the region at a variety of locations, including points 1 and 2 shown on the figure. In a coherent, paragraph-length response, explain why some protons exit the region at point 1 and others exit at point 2. Use physics principles to explain your reasoning.