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. M 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 k₁ = 2,000 N/m and k₂ = 2,400 N/m. After the first spring compresses by a distance of d = 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 k₂ 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. m/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. M 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 k₁ = 2,000 N/m and k₂ = 2,400 N/m. After the first spring compresses by a distance of d = 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 k₂ 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. m/s

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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