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$\bullet$ $\bullet$ A 12.0 N package of whole wheat flour is suddenly placedon the pan of a scale such as you find in grocery stores. Thepan is supported from below by a vertical spring of force con-stant 325 $\mathrm{N} / \mathrm{m}$ . If the pan has negligible weight, find the maxi-mum distance the spring will be compressed if no energy isdissipated by friction.

7.38 $\mathrm{cm}$

Physics 101 Mechanics

Chapter 7

Work and Energ

Physics Basics

Applying Newton's Laws

Kinetic Energy

Potential Energy

Energy Conservation

Cornell University

University of Michigan - Ann Arbor

Hope College

University of Winnipeg

Lectures

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you were considering a package sitting on a scale supported by a spring. You know that the weight of the package is 12 Newton's, and we know that the spring constant of the spring is 325 newtons per meter. To determine the displacement of the spring. We're going to use this spring force equation, which is F is equal to negative K Times X here night of K is a spring constant X is the displacement and F is the force. Note that the right side is negative because here there's displacement is a compression. So we're going to solve this equation four x and we do that by dividing both sides by K. You will keep the negative with the ex and divide F by K. Now we plug in our values. Note that here the Newton's would cancel out and we have left units of meters there in the denominator of the denominator, meaning they will ultimately be the numerator. The compression turns out to be 0.37 meters just equal to 3.7 centimeters

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