Block A of mass \( m \) moves with speed \( v \) on a horizontal frictionless surface toward Block B of mass \( m \), which is at rest and attached to an ideal spring of spring constant \( k \). The other end of the spring is fixed to a wall. Two experiments are performed.

In Experiment 1, the blocks collide and stick together.
In Experiment 2, the blocks collide elastically and Block A comes to a complete stop as Block B begins to move.

Which experiment results in a greater maximum compression of the spring, and why?