A thin, non-conducting hemispherical shell of radius \(R\) carries a total positive charge \(Q\) distributed non-uniformly across its surface. A small particle with positive charge \(q\) is initially held at rest at the center of curvature \(O\) of the hemisphere and then released, moving under the influence of the electrostatic force to a point infinitely far away. Which of the following claims and justifications correctly describes the work done by the electric field on the particle during this process?