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Introductory Physics Homework Help
Spring Car, Acceleration Problem: Find Spring Constant
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[QUOTE="Jaccobtw, post: 6198852, member: 663752"] [B]Homework Statement:[/B] You devise a wound up car powered by a spring for trips to the grocery store. The car has an inertia of 500 kg and is 4.2 m long. It should be able to accelerate from rest to 20 m/s at least 50 times before the spring needs winding. The spring runs the length of the car, and a full winding compresses it to half of its length In order to meet the acceleration requirement, what must the value of the spring constant be? [B]Relevant Equations:[/B] F = ma F = -kd "It should be able to accelerate from rest to 20 m/s at least 50 times before the spring needs winding" -So F = -kd = -k(2.1) - d is 2.1 because it is the compression length Now, since we know the d, divide it by 50, 2.1/50 = 0.042m Basically, the spring unwinds 0.042 m 50 times for a total distance of 2.1m. Now, calculate acceleration: v(f)^2 = v(i)^2 * 2 * a * d We know our final velocity is 20 m/s, our initial is 0. Solving for a we get, 4,762 m/s^2 Back to our original equations F = -kd = ma Solve for k and we get : 5.7 * 10^7 N/m But I got this wrong :( [/QUOTE]
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Introductory Physics Homework Help
Spring Car, Acceleration Problem: Find Spring Constant
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