Chapter 16, Problem 45PE

Suppose you have a 0.750−kg object on a horizontal surface connected to a spring that has a force constant of $\text{15}0\text{ N}/\text{m}$. There is simple friction between me object and surface with a static coefficient of friction

$\mu =0.100$. (a) How far can the spring be stretched without moving the mass? (b) If the object is set into oscillation with an amplitude twice the distance found in part (a), and me kinetic coefficient of friction is ${\mu }_{\text{k}}=0.0850$, what total distance does it travel before stopping? Assume it starts at me maximum amplitude.