how to find spring constant with mass

The apparatus setup shown in fig. The first graph is k=g/slope, the second graph 4pi^2/slope. You can see that if the spring isnt stretched or compressed, it exerts no force on the ball. The formula for finding the spring constant, K, is: F=m (Kx+x) where F is the force exerted by the spring, m is the mass, K is the spring constant and x is the displacement of the spring. In short, the spring constant characterizes the elastic properties of the spring in question. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. The formula to calculate the spring constant is as follows: k= -F/x, where k is the spring constant. The spring constant, k, is the gradient of the straight-line portion of the graph of F vs. x; in other words, force applied vs. displacement from the equilibrium position. The larger the spring constant, the stiffer the spring and the more . The spring in the shock absorber will, at a minimum, have to give you 2,450 newtons of force at the maximum compression of 0.5 meters. Variables in Hooke's Law Equation. F = k x. Th e gray virtual weight hanger has no mass. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Finding the spring constant is a matter of basic physics. If you push or pull on a spring and then let it go, it snaps right back to its original position. The minus sign shows that this force is in the opposite direction of the force thats stretching or compressing the spring. Answer 1) Given, Mass m = 5kg, Displacement x = 40cm = 0.4m. The force of a spring is calculated using Hookes law, named for Robert Hooke, the 17th-century British physicist who developed the formula in 1660, as he studied springs and elasticity. From here, K is determined using one of two equations. The wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Then we use x = F/k to find the displacement of a 1.5 kg mass. When a spring stays within its elastic limit and obeys Hookes law, the spring is called an ideal spring.