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Runaway Car Using Hooke's Law, we can show that the work done in compressing a spring a distance of feet from its at-rest position is , where is a stiffness constant depending on the spring. It can also be shown that the work done by a body in motion before it comes to rest is given by , Where weight of the object (in Ibs), acceleration due to gravity( ), and object’s velocity (in ft/sec). A parking garage has a spring shock absorber at the end of a ramp to stop runaway cars. The spring has a stiffness constant and must be able to stop a 4000-lb car traveling at 25 mph. What is the least compression required of the spring? Express your answer using feet to the nearest tenth.
[Hint: Solve ].
Source: www.scifonims.com
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Chapter 3 Solutions
Precalculus (10th Edition)
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