A block of mass m is on a frictionless horizontal table between two parallel vertical walls, initially separated by a distance L0. The block is connected to the left wall by a massless spring of spring constant k, and to the right wall by another massless spring of spring constant k. The block oscillates along the line between the walls with amplitude A0.
At a certain moment, the right wall begins to move toward the left wall at a constant, very small speed v (where v≪A0k/m). After the right wall has moved a total distance d (with A0≪d≪L0), it stops. Assume the springs remain within their linear limits at all times.
What is the new amplitude of the block's oscillation?