A 7000-kg freight car rolls along rails with negligible friction. The car is brought to rest by a combination of two coiled springs as illustrated in the figure below. Both springs are described by Hooke's law and have spring constants with k = 1700 N/m and ką = 3100 N/m. After the first spring compresses a distance of 29.4 cm, the second spring acts with the first to increase the force as additional compression occurs as shown in the graph. The car comes to rest 49.0 cm after first contacting the two-spring system. Find the car's initial speed. 311 Your response differs from the correct answer by more than 10%. Double check your calculations. m/s k2 ki kjXz + kz(xz – x)} Total force (N) X2 Distance (cm)
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I am not sure why I am not getting the answer. I looked all around the interwebs and I keep on finding the same way to solve the problem and when I do it that way I keep getting .311. That answer is wrong and im not sure what im doing wrong.
Im using U=.5kx^2 ( both springs)
and
U=.5mv^2 (kenetic)
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