A block of mass \(M\) is attached to a horizontal spring of spring constant \(k\) on a frictionless surface. The block undergoes simple harmonic motion with amplitude \(A\), and its maximum speed at the equilibrium position is \(v_{max}\). The student then replaces the spring with a different ideal spring having a spring constant of \(2k\) and keeps the same block. If the block is now made to oscillate with the same maximum speed \(v_{max}\), what is the new amplitude of the oscillation?