Introduction to work, energy, and energy resources. It should help you understand how to work scientifically. How much force would it take to stretch a steel bar with a spring constant of 21. Hookes law problemshomeworktest take g 10 ms2 and use f kx 1.
Mar 12, 2018 hooke s law is a law that says the restoring force required to compress or stretch a spring is proportional to the distance the spring is deformed. What force is necessary to stretch an ideal spring whose force constant is 120. It is the general question that is asked in the subject strength of materials. In addition to the hooke s law, complex stresses can be determined using the theory of elasticity. A spring which obeys hookes law is said to be hookean. Here we will continue with that discussion and gradually cover the hookes law and modulus of elasticity. An ideal spring has a spring constant of 120 nm, calculate how large of a force is needed to stretch the spring exactly 0. Problems with solutions and explanations on the applications of hookes law.
Principles and problems the red book we have in class and i gave to you in pdf chapter 14 section 1. These two example problems illustrate how to apply this concept. Work is intrinsically linked to force and is described as a push or pull on an object. Hooke s law holds up to a maximum stress called the proportional limit. Hookes law holds up to a maximum stress called the proportional limit. Oct 01, 20 two worksheets to help pupils practice using and rearranging the equation for hooke s law. Name period date chapter 3 newtons irst aw example. Equation, substitute values, solution with label watch your labels 1. Hookes law is a law that says the restoring force required to compress or stretch a spring is proportional to the distance the spring is deformed. And this law is called hooke s law, and it s named after ill read it a physicist in the 17th century, a british physicist. Physics 0205 nonequilibrium and fundamental forces. Consider hookes law as a simple proportionality where f is directly proportional to delta x.
A graph of force f versus elongation x shown in the figure below. Hookes law problems and solutions solved problems in. And he figured out that the amount of force necessary to keep a spring compressed is proportional to how much youve compressed it. For example, k k size 12k is directly related to youngs modulus when we stretch a string. To understand the hookes law its mandatory to understand 2 terms.
What will be the extension of this spring if the load is 75 g. Practice problems assess your knowledge of this mathematical formula, and the. The units of k k size 12k are newtons per meter nm. Graphically determine the amount of energy stored while stretching the spring described above. Not to mention that he got in trouble for being a ladies man. Find materials for this course in the pages linked along the left. So applying force to move an object from one place to another is the technical definition of work. Physics 0204 tension, hookes law, drag, and equilibrium. Under these conditions the object returns to its original shape and size upon removal. Hookes law example problem worked example problems. Law relates the force needed to change the length of the material. Therefore, we know the force stretching a spring is directly proportional to the distance the spring stretches. Finally we will cover a youngs modulus 2 shear modulus 3 bulk modulus.
The primary purpose of the lab is to study hooke s law and simple harmonic motion by studying the behavior of a mass on a spring. Lets do one more problem and i think this will be clear. This website and its content is subject to our terms and conditions. Hookes law and epe worksheet suppose in the lab one group found that n f. X here f force k spring constant x extension the elastic limit can be seen on the graph. For each of the problems below, draw a diagram of the situation before answering the question. Hookes law in the diagram below is shown a block attached to a spring. Elastic potential energy introduction, work done by a spring force, hookes law, physics problems duration. Your goal will be to extract a measure of the stiffness of one particular spring. Spring potential energy example mistake in math lol diagrams.
Hookes law is the first classical example of an explanation of elasticity which is the property of an object or material which causes it to be restored to its original shape after distortion. We will need some algebra and a proportion to solve this tough word problem. That said, it doesnt only apply to obviously elastic material such as springs, rubber bands and other stretchable objects. Hookes law, law of elasticity discovered by the english scientist robert hooke in 1660, which states that, for relatively small deformations of an object, the displacement or size of the deformation is directly proportional to the deforming force or load. Here f is the restoring force or the force exerted by the spring on the external agent and k is a.
A spring stretches 5 cm when a load of 20 n is hung on it. Theory the shape of a body will distort when a force is applied to it. Test your ability to define the spring constant and apply the hookes law formula. Hookes law in terms of stress and strain is stress strain in terms of the definitions l l y a f the constant of proportionality is called the elastic modulus or youngs modulus. The spring constant is a key part of hookes law, so to understand the constant, you first need to know what hookes law is and what it says.
This video contains plenty of examples and practice problems with the equations and formulas needed to solve it. Hookes law worksheet with answers teaching resources. The force required to stretch hooke s law spring varies from 0 n to 65 n as we stretch the spring by moving one end 6. Hooke s law has also been called the law of elasticity. If youre behind a web filter, please make sure that the domains. However, when hooke described it there were no matrixes involved. A spring extends by 10 cm when a mass of 100 g is attached to it. Teacher notes hookes law program robert hooke 16351703. The good news its a simple law, describing a linear relationship and having the form of a basic straightline equation. Hookes law has also been called the law of elasticity.
Extension produced in a spring is directly proportional to the stretching force or load within the limit of proportionality. Hookes law is used today in many places, and its actually good to understand it. This law gives us a relation between stress and strain. Objective the objective of this lab is to show that the response of a spring when an external agent changes its equilibrium length by x can be described by hookes law, f. Procedure in this lab, you will observe a mass on a spring and, from this, determine the value of k for that spring. The force constant k k size 12k is related to the rigidity or stiffness of a systemthe larger the force constant, the greater the restoring force, and the stiffer the system. Physics 0206 angular velocity and centripetal acceleration. Hooke s law in terms of stress and strain is stress strain in terms of the definitions l l y a f the constant of proportionality is called the elastic modulus or youngs modulus.
Name period date chapter 3 newtons irst aw example problems. Set up the apparatus as in the diagram add a 10 g mass to the. Tes global ltd is registered in england company no 02017289 with its registered office at 26 red lion square london wc1r 4hq. If youre seeing this message, it means were having trouble loading external resources on our website. Teacher notes hookes law program robert hooke 1635. In addition to the hookes law, complex stresses can be determined using the theory of elasticity.
Two worksheets to help pupils practice using and rearranging the equation for hookes law. Worksheets are hookes law, hookes law and a simple spring, x m 25, elastic forces and hookes law, teacher notes hookes law program robert hooke 1635 1703, tension equilibrium, x m, ap04 physics jacob. Mar 18, 2018 hookes law is demonstrated and graphed. This is an example of a common experiment used to investigate hookes law. The law is named after 17thcentury british physicist. If the original stretch is 5 cm, what is the original weight. In position a the spring is at rest and no external force acts on the block.
Hookes law is an empirical physical law describing the linear relationship between the restorative force exerted by a spring and the distance by which the spring is displaced from its equilibrium length. Let a force is applied on a body which can modify the shape and size of the object. Spring constant, displacement from equilibrium position, and restoring force are defined and demonstrated. Our present interest is in whether or not the data will fit on a linear trend line. In our last post we have discussed on elasticity and plasticity. What force is needed to stretch a spring with a constant k value of 200 nm so it has an extension of 0. Click on popout icon or print icon to worksheet to print or download. When the weight hung on a spring is increased by 60 n, the new stretch is 15 cm more. Jan 22, 2020 definition of hookes law next, we will look at three examples of how to stretch a spring beyond its natural length and discover there are only two steps for these problem types. This topic is beyond this text, but through the use of compatibility and equilibrium equations, complex 3d stresses can be determined by numerical methods. Hookes law physics, basic introduction, restoring force, spring. The force required to stretch hookes law spring varies from 0 n to 65 n as we stretch the spring by moving one end 6. What is the magnitude of the force if the change in length is 4. Hookes law and elasticity problems and solutions solved.
Applications of a recurring principle article pdf available in ajp advances in physiology education 334. Hookes law is a law of physics that states that the force f needed to extend or compress a spring by some distance x scales linearly with respect to that distancethat is, where k is a constant factor characteristic of the spring i. A formal lab report should include a title page like this one, with all of the appropriate information a descriptive title, your name, the course title, the date, and an abstract. Each worksheet has 10 shuffled problems involving springs and hookes law, answers and different number values. Intro to springs and hookes law video khan academy. Record all givens, draw a picture, arrow all vectors, write the formula, substitute and solve. In addition to springs, hookes law is often a good model for arbitrary physical systems that exhibit a tendency to return to a. In particular, we will learn how to calculate the work done over a variable or changing distance. What is the spring constant of a car spring if a 2500n force compresses it from a length of 50. In position b a force f is used to compress the spring by a length equal to. This force can come from a squeeze, push, bend or twist, but. Elasticity problems the following elasticity problems will help you understand elasticity and hookes law. Differentiated hookes law worksheets teaching resources. A relatively simple equation that suggests that, for an elastic material i.
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