Answered: Two springs, with force constants…

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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Two springs, with force constants k1=140N/m and k2=275N/m, are connected in series, as shown in the figure.

When a mass m=0.50kg is attached to the springs, what is the amount of stretch, x?

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$Answer : Given K_{1} = 140 N / m K_{2} = 275 N / m mass (m) = 0.5 kg$

$Note If two spring are in series, then the equivalent stiffness constant is given by \frac{1}{K_{eq}} = \frac{1}{K_{1}} + \frac{1}{K_{2}} K_{eq} = \frac{K_{1} K_{2}}{K_{1} + K_{2}} = \frac{140 \times 275}{140 + 275} K_{eq} = 92.771 N / m$

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