Serway & Jewett — Energy of a System: Problem 48.

An inclined plane of angle \(\theta\) has a spring of force constant \(k\) fastened securely at the bottom so that the spring is parallel to the surface. A block of mass \(m\) is placed on the plane at a distance \(d\) from the spring. From this position, the block is projected downward toward the spring with speed \(v\) as shown in Figure P7.47. By what distance is the spring compressed when the block momentarily comes to rest?