Problem $17$: Suppose you have a $0\mathrm{.}750-kg$ object on a horizontal surface connected to a spring that has a force constant of $150\frac{N}{m}.$ There is simple friction between the object and surface with a static coefficient of friction ${}_s=0\mathrm{.}100.($a$)$ How far can the spring be stretched without moving the mass? $(2\mathrm{.}5$pt$)$

$x=$

$($b$)$ If the object is set into oscillation with an amplitude twice the distance found in part $($a$),$ and the kinetic coefficient of friction is ${}_k=0\mathrm{.}0850,$ what total distance does it travel before stopping? Assume it starts at the maximum amplitude. $(2\mathrm{.}5$pt$)$