A proton is released from rest at a distance of 8.021 × 10⁻⁶ m from another proton.
(a) Calculate the kinetic energy of the system when the protons have moved infinitely far apart.
(b) If one proton is kept at rest while the other moves, calculate the final speed of the moving proton.
A charge q is placed at the origin, and a second charge equal to -2q is place on the x-axis at the location x.
(a) Enter the expression for the electric potential halfway between the two charges.
(b) The potential is zero at some point x_z between them. Enter the expression for x_z.