A $1\mathrm{.}40kg$ 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 $v_i=2\mathrm{.}60\frac{m}{s}$ 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 significantly from the correct answer. Rework your solution from the beginning and check each step carefully. $m$

$($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.

$|m$