An isolated conducting sphere of radius \(R\) is fixed in space and held at an electric potential \(V_0\) relative to infinity. A projectile point particle carrying a positive charge \(q_0\) and mass \(m\) is launched from very far away directly toward the center of the sphere. What is the minimum initial kinetic energy \(K_{\min}\) required for the particle to just reach the surface of the sphere, and how does \(K_{\min}\) depend on the particle's mass \(m\)?