Two particles with equal mass \(m\) and equal charge magnitude \(q\), one positively charged (\(+q\)) and one negatively charged (\(-q\)), are launched with the same speed \(v_0\) into a region containing a uniform magnetic field \(\vec{B}\) directed perpendicular to their initial velocity vectors. Both particles follow circular paths within the magnetic field. Which of the following correctly compares the work \(W_+\) done by the magnetic field on the positive charge to the work \(W_-\) done on the negative charge after each particle completes one full revolution, and provides the correct justification?