proportionality constant k is specific for each spring. Find the spring constant. The elastic potential energy is equal to the work done (ignoring losses to heat or other wastage), and you can easily calculate it based on the distance the spring has been stretched if you know the spring constant for the spring. A Hooke's Law Spring Determine the Spring Constant The formula to calculate the spring constant is as follows: k= -F/x, where k is the spring constant. Assuming these shock absorbers use springs, each one has to support a mass of at least 250 kilograms, which weighs the following:\r\n\r\nF = mg = (250 kg)(9.8 m/s2) = 2,450 N\r\n\r\nwhere F equals force, m equals the mass of the object, and g equals the acceleration due to gravity, 9.8 meters per second2. Hookes law gives the force a spring exerts on an object attached to it with the following equation:F = kxThe minus sign shows that this force is in the opposite direction of the force thats stretching or compressing the spring. The direction of force exerted by a spring, {"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2016-03-26T17:23:25+00:00","modifiedTime":"2022-12-23T15:45:58+00:00","timestamp":"2022-12-23T18:01:02+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Science","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33756"},"slug":"science","categoryId":33756},{"name":"Physics","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33769"},"slug":"physics","categoryId":33769}],"title":"How to Calculate a Spring Constant Using Hooke's Law","strippedTitle":"how to calculate a spring constant using hooke's law","slug":"how-to-calculate-a-spring-constant-using-hookes-law","canonicalUrl":"","seo":{"metaDescription":"Learn about Hooke's law and how to calculate the spring constant, including the formula and insight on a spring's impact on force. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Example 1 A spring with load 5 Kg is stretched by 40 cm. This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2023 wikiHow, Inc. All rights reserved. As the spring mass (ms) is often smaller than the mass (m) of the object, it is generally considered to be = 0 . How to Calculate a Spring Constant Using Hooke's Law. Looking only at the magnitudes and therefore omitting the negative sign, you get\r\n\r\n![\"image1.png\"](\"https://www.dummies.com/wp-content/uploads/330102.image1.png\")
\r\n\r\nTime to plug in the numbers:\r\n\r\n![\"image2.png\"](\"https://www.dummies.com/wp-content/uploads/330103.image2.png\")
\r\n\r\nThe springs used in the shock absorbers must have spring constants of at least 4,900 newtons per meter. The formula to calculate the spring constant is as follows: k= -F/x, where k is the spring constant. The equation for elastic potential energy relates the displacement, x, and the spring constant, k, to the elastic potential PEel, and it takes the same basic form as the equation for kinetic energy: As a form of energy, the units of elastic potential energy are joules (J). This intuitive understanding that an elastic material returns to its equilibrium position after any applied force is removed is quantified much more precisely by Hookes law. Record each stretching force in N . The negative symbol indicates that the force of the spring constant is in the opposite direction of the force applied to the spring. There are two forces acting at the point where the mass is attached to the spring. The spring constant is a property of the spring itself that shows the linear relationship between the force and the displacement. The car designers rush out, ecstatic, but you call after them, Dont forget, you need to at least double that if you actually want your car to be able to handle potholes.","blurb":"","authors":[{"authorId":8967,"name":"Steven Holzner","slug":"steven-holzner","description":"
Dr. Steven Holzner has written more than 40 books about physics and programming. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. F = -kx. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Consider a vertical spring on which we hang a mass m; it will stretch a distance x because of the weight of the mass, That stretch is given by x = m g / k. k is the spring constant of the spring. Where F is the force exerted on the spring in Newtons (N),. Snapshots of the lab are found in the four figures that follow. Hooke's law is based on Newton's third law of motion, which states that for every action there is an equal and opposite reaction. The first graph is measuring displacement vs mass. He has authored Dummies titles including Physics For Dummies and Physics Essentials For Dummies. Dr. Holzner received his PhD at Cornell.
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