A $1\mathrm{.}30$ kg object slides to the right on a surface having a coefficient of kinetic friction $0\mathrm{.}250($Fig$.$ P$7\mathrm{.}54).$ The object has a speed of vi $=3\mathrm{.}20$ m$/$s when it makes contact with a light spring that has a force constant of $50\mathrm{.}0$ N$/$m$.$ The object comes to rest after the spring has been compressed a distance d$.$ The object is then forced toward the left by the spring and continues to move in that direction beyond the spring's unstretched position. The object finally comes to rest a distance D to the left of the unstretched spring.A $1\mathrm{.}30kg$ object slides to the right on a surface having a coefficient of kinetic friction $0\mathrm{.}250($Fig$.$ P$7\mathrm{.}54).$ The object has a speed of $v_i=3\mathrm{.}20$

$\frac{m}{s}$ when it makes contact with a light spring that has a force constant of $50\mathrm{.}0\frac{N}{m}.$ The object comes to rest after the spring has been

compressed a distance $d.$ The object is then forced toward the left by the spring and continues to move in that direction beyond the spring's

unstretched position. The object finally comes to rest a distance $D$ to the left of the unstretched spring.

$($a$)$ Find the distance of compression $d.$

Your response differs from the correct answer by more than $100\%.m$

$($b$)$ Find the speed $v$ at the unstretched position when the object is moving to the left.

$\frac{m}{s}$

$($c$)$ Find the distance $D$ where the object comes to rest.

m