Problem 39 (Similarity). A frictionless horizontal air track has a horizontal spring atone end. A glider is pressed against the spring, compressing it by a distance of Ax1.When the spring

is released, it launches the glider at a speed of v1. The glider is then pressed against the spring a second time, compressing it by a distance of Ax2; when the spring is released, it launches the glider at speed v2. What is the relationship between Vị and v2? \text { (a) } v_{2}=\left[\frac{\Delta x_{2}}{\Delta x_{1}}\right]^{2} v_{1} \text { (b) } \quad v_{2}=\left[\frac{\Delta x_{1}}{\Delta x_{2}}\right]^{2} v_{1} \text { (c) } v_{2}=\frac{\Delta x_{2}}{\Delta x_{1}} v_{1} \text { (d) } v_{2}=\frac{\Delta x_{1}}{\Delta x_{2}} v_{1} (e) None of these