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$\bullet$ A student measures theforce required to stretch a springby various amounts and makesthe graph shown in Figure 5.57which plots this force as a func-tion of the distance the springhas stretched. (a) Does thisspring obey Hooke's law? Howdo you know? (b) What is theforce constant of the spring, in $\mathrm{N} / \mathrm{m}$ ? (c) What force wouldbe needed to stretch the spring a distance of 17 $\mathrm{cm}$ fromits unstretched length, assuming that it continues to obeyHooke's law?

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a) Yes, the spring obeys the Hooke's law. Because the graph of $F$ vs $x$ is a straight line.b) 150 $\mathrm{N} / \mathrm{m}$c) 25 $\mathrm{N}$

Physics 101 Mechanics

Chapter 5

Applications of Newton's Law

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Applying Newton's Laws

Cornell University

University of Sheffield

University of Winnipeg

Lectures

04:01

2D kinematics is the study of the movement of an object in two dimensions, usually in a Cartesian coordinate system. The study of the movement of an object in only one dimension is called 1D kinematics. The study of the movement of an object in three dimensions is called 3D kinematics.

03:28

Newton's Laws of Motion are three physical laws that, laid the foundation for classical mechanics. They describe the relationship between a body and the forces acting upon it, and its motion in response to those forces. These three laws have been expressed in several ways, over nearly three centuries, and can be summarised as follows: In his 1687 "Philosophiæ Naturalis Principia Mathematica" ("Mathematical Principles of Natural Philosophy"), Isaac Newton set out three laws of motion. The first law defines the force F, the second law defines the mass m, and the third law defines the acceleration a. The first law states that if the net force acting upon a body is zero, its velocity will not change; the second law states that the acceleration of a body is proportional to the net force acting upon it, and the third law states that for every action there is an equal and opposite reaction.

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$\bullet$ A student measur…

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A student measures the for…

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$\bullet$ A student hangs …

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Hooke's Law states th…

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Hooke's Law Hooke…

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In a Hooke's law expe…

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An experiment in a physics…

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Hooke's law Hooke…

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Use Hooke's Law for s…

so hooks Law states that, uh, the stretching force is directly proportional to x or in other words, um f equals K X. Where cares? A spring constant and X is the amount of that herd length that has been stretched. So eso part air we c s so basically we want have proportional to x or hook slaughter, apply and part A. You have a graph of versus X where we see a straight line. This means that this this of course, means that it's proportional to X but the constant care which can be found from measuring the slope. And so, yes, Hook's law does apply in part because force is proportional Teo extension then in part B b Want to know what it's been? Constant chaos just fo x and and the best way to go about doing this is by taking rise over run or slope of it, of tubs of the plot pain. And so from the plot, you can read off 15 Newtons over 10 centimeters. So that would be 100.1 meters Uh, what is a slope? And so spin constant is one fifteen 15 meters and finally in part, see ethical Tze Kei X and we have care. Eyes 1 50 and X is 17 centimeters. So that's 170.17 meters S o. We get force of 25 news.

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