You have a new internship, where you are helping to design a new freight yard for the train station in your city. There will be a number of dead-end sidings where single cars can be stored until they are needed. To keep the cars from running off the tracks at the end of the siding, you have designed a combination of two coiled springs as illustrated in the figure below. When a car moves to the right in the figure and strikes the springs, they exert a force to the left on the car to slow it down. SerPSE10 7.A.P.041.ctx. [4212912) Total force (N) 2000 1500 1000 500 Distance (cm) 10 20 30 40 50 60 Both springs are described by Hooke's law and have spring constants k, = 2,000 N/m and k, = 2,400 N/m. After the first spring compresses by a distance ofd = 30.0 cm, the second spring acts with the first to increase the force to the left on the car in the figure. When the spring with spring constant k, compresses by 50.0 cm, the coils of both springs are pressed together, so that the springs can no longer compress. A typical car on the siding has a mass of 5,000 kg. When you present your design to your supervisor, he asks you for the maximum speed (in m/s) that a car can have and be stopped by your device. 7m/s

You have a new internship, where you are helping to design a new freight yard for the train station in your city. There will be a number of dead-end sidings where single cars can be stored until they are needed. To keep the cars from running off the tracks at the end of the siding, you have designed a combination of two coiled springs as illustrated in the figure below. When a car moves to the right in the figure and strikes the springs, they exert a force to the left on the car to slow it down. SerPSE10 7.A.P.041.ctx. [4212912) Total force (N) 2000 1500 1000 500 Distance (cm) 10 20 30 40 50 60 Both springs are described by Hooke's law and have spring constants k, = 2,000 N/m and k, = 2,400 N/m. After the first spring compresses by a distance ofd = 30.0 cm, the second spring acts with the first to increase the force to the left on the car in the figure. When the spring with spring constant k, compresses by 50.0 cm, the coils of both springs are pressed together, so that the springs can no longer compress. A typical car on the siding has a mass of 5,000 kg. When you present your design to your supervisor, he asks you for the maximum speed (in m/s) that a car can have and be stopped by your device. 7m/s

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter7: Energy Of A System

Section: Chapter Questions

Problem 41AP: You have a new internship, where you are helping to design a new freight yard for the train station...

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