1) This information will be used for this and the following question. A proton is accelerated through an electrical potential difference with a magnitude of 0.225 V. If the proton starts from rest, what is the speed of the proton after accelerating through the region of potential difference? Please give your answer in m/s.
2) What is the equivalent capacitance of the combination shown below? Let C1 = 20 mF and C2 = 35 mF. Please give your answer in mF. (Feel free to re-number the capacitors if that helps you solve the problem.)
3) A +5.0 μC charge is located at the origin and a +3.0 μC charge is located at x = 2.0 m. What is the electric potential due to the two charges at x = 1.25 m? Please give your answer in kV.
4) A +5.0 μC charge is located at the origin and a +3.0 μC charge is located at x = 2.0 m. Find the point between them where the electric field strength is zero. Please give the location on the x-axis in m.
5) In the following charge distribution, the charge Q = -35 nC. Use this information and that provided on the diagram to determine the electric potential at the location of the -5 nC charge due to the other two charges. Please give your answer in kV.
6) In the following charge distribution, the charge Q = -35 nC. Use this information and that provided on the diagram to determine the force due to the other charges acting on Q. Please give your answer in unit vector notation (i.e., x- and y-components).