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 force onstant 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 lirection beyond the spring's unstretched position. Finally, the object comes to rest a distance D to the left of the unstretched spring (Figure e). a (a) Find the distance of compression d. 0.548 This would be the correct answer if there were no force of friction. m (b) Find the speed v at the unstretched position when the object is moving to the left (Figure d). 3.4 The friction force acts to the left as the object moves to the right and to the right as the object moves to the left, always taking mechanical energy out of the system. m/s (c) Find the distance D where the object comes to rest. 2.36

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter7: Conservation Of Energy
Section: Chapter Questions
Problem 55P: A horizontal spring attached to a wall has a force constant of k = 850 N/m. A block of mass m = 1.00...
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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
(a) Find the distance of compression d.
0.548
This would be the correct answer if there were no force of friction. m
(b) Find the speed v at the unstretched position when the object is moving to the left (Figure d).
3.4
The friction force acts to the left as the object moves to the right and to the right as the object moves to the left, always taking mechanical energy out of the system. m/s
(c) Find the distance D where the object comes to rest.
2.36
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 (a) Find the distance of compression d. 0.548 This would be the correct answer if there were no force of friction. m (b) Find the speed v at the unstretched position when the object is moving to the left (Figure d). 3.4 The friction force acts to the left as the object moves to the right and to the right as the object moves to the left, always taking mechanical energy out of the system. m/s (c) Find the distance D where the object comes to rest. 2.36
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