A 5,000-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 k1 = 1,700 N/m and k2 = 3,200 N/m. After the first spring compresses a distance of x1 = 31.8 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 x2 = 46.5 cm after first contacting the two-spring system. Find the car's initial speed. k2Totalforce(N)0Distance (cm) k2Totalforce(N)0Distance (cm)

Name: A 5,000-kg freight car rolls along rails with negligible friction. The
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Description: A 5,000-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 k1 = 1,700 N/

The expression from the conservation of energy,

Answered: k2 Total force (N) 0 Distance (cm) k2…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter23: Faraday’s Law And Inductance

Section: Chapter Questions

Problem 48P

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A 5,000-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 k₁ = 1,700 N/m and k₂ = 3,200 N/m. After the first spring compresses a distance of x₁ = 31.8 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 x₂ = 46.5 cm after first contacting the two-spring system. Find the car's initial speed.

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