A block of mass \(m_1\) rests on a rough horizontal table with a coefficient of kinetic friction \(\mu_k\). The left side of the block is attached to a wall by an ideal spring of spring constant \(k\). The right side of the block is attached to a lightweight string that passes over an ideal, frictionless pulley at the edge of the table and connects to a hanging block of mass \(m_2\). The system is held at rest with the spring at its natural, unstretched length. At time \(t = 0\), the system is released and the blocks begin to move. Assume that \(m_2 g > \mu_k m_1 g\) so that the system moves upon release.