Compute each part of following problem:
Problem: A proton (charge +e) moves a distance d = 0.50 m in a straight line between points a and b in a linear accelerator. The electric field is uniform along this line, with magnitude E = 1.5 x 107 V/m = 1.5 x 107 N/C in the direction from a to b.
Part I: Determine the force on the proton.
Part II: Determine the work done on it by the field.
Part III: Determine the potential difference Va - Vb.
Please explain each step and equations used for above problem.