Determine least compression required of spring


Utilizing Hooke's Law, we can show that work done in compressing the spring distance of x feet from its at-rest position is W=1/2kx^2, where k is stiffness constant depending on spring. It can also be illustrated that work done by the body in motion before it comes to rest is provided by ~W=w/2gv^2 where w = weight of object (lb), g= acceleration due to gravity (32.2 ft/sec2), and v = object's velocity (in ft/sec). Parking garage has spring shock absorber at the end of the ramp to stop runaway cars. Spring has the stiffness constant k = 9450 lb/ft and should be able to stop the 4000-lb car traveling at 25 mph. Determine least compression required of spring? 

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Mathematics: Determine least compression required of spring
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