A 1.30-kg object slides to the right on a surface having a coefficient of kinetic friction 0.250 (Figure a). The object has a speed of v = 3.40 m/s when it makes contact with a light spring (Figure b) that has a ford constant of 50.0 N/m. The object comes to rest after the spring has been compressed a distance d (Figure c). The object is then forced toward the left by the spring (Figure d) and continues to move in that direction beyond the spring's unstretched position. Finally, the object comes to rest a distance D to the left of the unstretched spring (Figure e). m v = 0 e (a) Find the distance of compression d. (b) Find the speed v at the unstretched position when the object is moving to the left (Figure d). m/s

Principles of Physics: A Calculus-Based Text
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Chapter6: Energy Of A System
Section: Chapter Questions
Problem 19P: A light spring with spring constant 1 200 N/m is hung from an elevated support. From its lower end...
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A 1.30-kg object slides to the right on a surface having a coefficient of kinetic friction 0.250 (Figure a). The object has a speed of vi = 3.40 m/s when it makes contact with a light spring (Figure b) that has a force
constant of 50.0 N/m. The object comes to rest after the spring has been compressed a distance d (Figure c). The object is then forced toward the left by the spring (Figure d) and continues to move in that
direction beyond the spring's unstretched position. Finally, the object comes to rest a distance D to the left of the unstretched spring (Figure e).
m
v= 0
e
+D-
(a) Find the distance of compression d.
(b) Find the speed v at the unstretched position when the object is moving to the left (Figure d).
m/s
(c) Find the distance D where the object comes to rest.
m
Transcribed Image Text:A 1.30-kg object slides to the right on a surface having a coefficient of kinetic friction 0.250 (Figure a). The object has a speed of vi = 3.40 m/s when it makes contact with a light spring (Figure b) that has a force constant of 50.0 N/m. The object comes to rest after the spring has been compressed a distance d (Figure c). The object is then forced toward the left by the spring (Figure d) and continues to move in that direction beyond the spring's unstretched position. Finally, the object comes to rest a distance D to the left of the unstretched spring (Figure e). m v= 0 e +D- (a) Find the distance of compression d. (b) Find the speed v at the unstretched position when the object is moving to the left (Figure d). m/s (c) Find the distance D where the object comes to rest. m
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