A freight car with mass m = 6000 kg rolls along rails with negligible friction. The car is brought to rest by a combination of two coiled springs as shown in the figure. The springs have constants k1 = 1600 N/m and k2 = 3400 N/m. After the first spring compresses a distance of 30 cm, the second spring acts with the first to increase the force as additional compression occurs. The graph shows the total force acting on the car as a function of distance. The car comes to rest 50 cm after first contacting the spring system. Find the car's initial speed. 2 000 Z 1 500 k 1 000 ww 500 10 20 30 40 50 60 Total force (N)

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Chapter1: Units, Trigonometry. And Vectors
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A freight car with mass m = 6000 kg rolls along rails with negligible friction. The car
is brought to rest by a combination of two coiled springs as shown in the figure. The
springs have constants k, = 1600 N/m and k2 = 3400 N/m. After the first spring
compresses a distance of 30 cm, the second spring acts with the first to increase the force
as additional compression occurs. The graph shows the total force acting on the car as a
function of distance. The car comes to rest 50 cm after first contacting the spring system.
Find the car's initial speed.
2 000
Z 1 500
k
1 000
500
10 20 30 40 50 60
Total force (N)
Transcribed Image Text:A freight car with mass m = 6000 kg rolls along rails with negligible friction. The car is brought to rest by a combination of two coiled springs as shown in the figure. The springs have constants k, = 1600 N/m and k2 = 3400 N/m. After the first spring compresses a distance of 30 cm, the second spring acts with the first to increase the force as additional compression occurs. The graph shows the total force acting on the car as a function of distance. The car comes to rest 50 cm after first contacting the spring system. Find the car's initial speed. 2 000 Z 1 500 k 1 000 500 10 20 30 40 50 60 Total force (N)
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