k2 k Total force (N) 2000 1500 1000 500 Distance (cm) 60 10 20 30 40 50 Both springs are described by Hooke's law and have spring constants k, = 1,700 N/m and k, = 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 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 8,000 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

k2 k Total force (N) 2000 1500 1000 500 Distance (cm) 60 10 20 30 40 50 Both springs are described by Hooke's law and have spring constants k, = 1,700 N/m and k, = 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 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 8,000 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

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest. 

Question

k2
k
Total force (N)
2000
1500
1000
500
Distance (cm)
60
10 20
30
40
50
Both springs are described by Hooke's law and have spring constants k, = 1,700 N/m and k, = 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 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 8,000 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

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