make sure you do it in a white paper. do not type it. show all work. DO NOT TYPE IT PLEASE Eight and one-half foot-pounds of work is required to compress a spring 6 inches from its natural length. Find the work required to compress the spring an additional one-half inch. (Round your answerto two decimal places.)ft-lb

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Description: make sure you do it in a white paper. do not type it. show all work. DO NOT TYPE IT PLEASE Eight and one-half foot-pounds of work is required to compress a spring 6 inches from its natural length. Find the work required to compress the spring an addi

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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make sure you do it in a white paper. do not type it. show all work. DO NOT TYPE IT PLEASE

Eight and one-half foot-pounds of work is required to compress a spring 6 inches from its natural length. Find the work required to compress the spring an additional one-half inch. (Round your answer
to two decimal places.)
ft-lb

Expert Solution

Step 1

Given that,

The compression length of the spring is $x = 6 (i n) = 0.5 (f t)$

And the work done is $W = 8.5 (f t . l b)$

If k is the spring constant, then the work done can be written as

$W = \frac{1}{2} k x^{2}$

So the spring constant will be

$\begin{array}{rcl} k & = & \frac{2 W}{x^{2}} \\ = & \frac{2 \times 8.5 (f t . l b)}{{(0.5 (f t))}^{2}} \\ = & 68 (l b / f t) \end{array}$

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