A positive ion of mass \(m\) and charge \(+q\) enters a region of uniform magnetic field \(\vec{B}\) perpendicular to its velocity vector with speed \(v_0\). The ion travels in a circular arc of radius \(R\). A second positive ion with charge \(+q\) and mass \(2m\) enters the same magnetic field region with the exact same speed \(v_0\). What is the radius of the circular path of the second ion in terms of \(R\)?