Question #42054

A block of mass $m = 1 \text{ kg}$ is attached to a light spring of force constant $k = 10 \text{ N/m}$ on a rough horizontal surface. The coefficients of static and kinetic friction are both $\mu = 0.2$. The block is pulled to a position $x_0 = 1.0 \text{ m}$ from the spring's natural length ($x=0$) and released from rest. Let $a_1$ be the magnitude of the block's acceleration immediately before it reaches its first turning point (instantaneous rest), and $a_2$ be the magnitude of its acceleration immediately after it reverses direction. What is the value of the ratio $\frac{a_1}{a_2}$? (Take $g = 10 \text{ m/s}^2$)