A small object of mass \(m\) and negative charge \(-q\) is initially at rest at the surface of a fixed sphere of radius \(R\) carrying a uniform positive charge \(+Q\). The object is projected radially outward from the surface with an initial speed \(v_0\). Gravitational effects are negligible. In terms of \(m\), \(q\), \(Q\), \(R\), and physical constants, what is the minimum initial speed \(v_0\) required for the object to reach a distance of \(3R\) from the center of the sphere?