Try and imagine an infinite line of charge (ILOC). Imagining the infinite is impossible but for singular atomic entities, like a carbon-12 nucleus (C-12), macroscopic objects are treated as infinite (relative to the C-12). If a very long conductive wire is charged with a uniform charge density, λ = 0.914 C m, and a C-12 nucleus is placed 3mm away from the center of the charged wire, we can approximate the wire as an ILOC. Note: a C-12 nucleus is made of six protons and six neutrons.

(a) (5 points) Create and fully label a diagram of the situation described above. Hint: if the ILOC were the x-axis, the particle would be located 3 mm above the z-axis.
(b) (10 points) For the diagram you created, determine the electric force on the nucleus due to the ILOC.
(c) (5 points) Determine the acceleration that the nucleus would have due to the electric force from part (b).
(d) (5 points) If we watched the C-12 nucleus accelerate, would the acceleration determined in part (C) remain constant as the nucleus moved?