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A 1.40-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 v₁ = 3.50 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). k a m b e √=0 = 0 d (a) Find the distance of compression d (in m). You will find that you need to use the quadratic equation to find this distance. m (b) Find the speed v (in m/s) at the unstretched position when the object is moving to the left (Figure d). × How much energy is stored in the spring just before the object makes contact with the spring? How much energy is stored in the spring after the object leaves the spring? Do you need to consider the spring potential energy in working this part? m/s (c) Find the distance D (in m) where the object comes to rest. You appear to have correctly calculated the distance using your incorrect result from part (b). m (d) What If? If the object becomes attached securely to the end of the spring when it makes contact, what is the new value of the distance D (in m) at which the object will come to rest after moving to the left? × m

A 1.40-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 v₁ = 3.50 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). k a m b e √=0 = 0 d (a) Find the distance of compression d (in m). You will find that you need to use the quadratic equation to find this distance. m (b) Find the speed v (in m/s) at the unstretched position when the object is moving to the left (Figure d). × How much energy is stored in the spring just before the object makes contact with the spring? How much energy is stored in the spring after the object leaves the spring? Do you need to consider the spring potential energy in working this part? m/s (c) Find the distance D (in m) where the object comes to rest. You appear to have correctly calculated the distance using your incorrect result from part (b). m (d) What If? If the object becomes attached securely to the end of the spring when it makes contact, what is the new value of the distance D (in m) at which the object will come to rest after moving to the left? × m

Physics for Scientists and Engineers, Technology Update (No access codes included)
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter8: Conservation Of Energy
Section: Chapter Questions
Problem 8.62AP: A 1.00-kg object slides to the right on a surface having a coefficient of kinetic friction 0.250...
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A,B,C AND D 

A 1.40-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 v₁ = 3.50 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). k a m b e √=0 = 0 d (a) Find the distance of compression d (in m). You will find that you need to use the quadratic equation to find this distance. m (b) Find the speed v (in m/s) at the unstretched position when the object is moving to the left (Figure d). × How much energy is stored in the spring just before the object makes contact with the spring? How much energy is stored in the spring after the object leaves the spring? Do you need to consider the spring potential energy in working this part? m/s (c) Find the distance D (in m) where the object comes to rest. You appear to have correctly calculated the distance using your incorrect result from part (b). m (d) What If? If the object becomes attached securely to the end of the spring when it makes contact, what is the new value of the distance D (in m) at which the object will come to rest after moving to the left? × m
Transcribed Image Text:A 1.40-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 v₁ = 3.50 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). k a m b e √=0 = 0 d (a) Find the distance of compression d (in m). You will find that you need to use the quadratic equation to find this distance. m (b) Find the speed v (in m/s) at the unstretched position when the object is moving to the left (Figure d). × How much energy is stored in the spring just before the object makes contact with the spring? How much energy is stored in the spring after the object leaves the spring? Do you need to consider the spring potential energy in working this part? m/s (c) Find the distance D (in m) where the object comes to rest. You appear to have correctly calculated the distance using your incorrect result from part (b). m (d) What If? If the object becomes attached securely to the end of the spring when it makes contact, what is the new value of the distance D (in m) at which the object will come to rest after moving to the left? × m
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