Force Displacement Graph Spring Constant

For both of my slopes i got the exact value of the spring constant as the one chosen in the experiment.

Force displacement graph spring constant.

For my graph with the spring constant of 500 n m i got 500 n m as the slope. In this case the force is not constant because according to hooke s law the restoring force is equal to the spring constant multiplied by the extension displacement so the more you extend the spring the bigger the force. Displacement from the equilibrium position. In that case the equation becomes.

Force f is measured in newtons n. The spring constant k is the gradient of the straight line portion of the graph of f vs. The gradient of the graph of force f y axis and extension e x axis is equal to the spring constant k. However after the limit of proportionality for the material in question the relationship is no longer a straight line one and hooke s law ceases to apply.

Hooke s law for a spring is often stated under the convention that f s is the restoring force exerted by the spring on whatever is pulling its free end. If you re seeing this message it means we re having trouble loading external resources on our website. Hooke s law is obeyed up to the limit of proportionality. Hooke s law states that the significance of the slope made by the graph of force as a function of displacement is the mass exerted by the force of the spring.

Where x is the size of the displacement. Determine the spring constant. According to this formula the graph of the applied force f s as a function of the displacement x will be a straight line passing through the origin whose slope is k. In other words force applied vs.

Any physicist knows that if an object applies a force to a spring then the spring applies an equal and opposite force to the object. The proportionality constant k is specific for each spring. Hooke s law states that the restoring force of a spring is directly proportional to a small displacement. Review the key concepts equations and skills for spring potential energy and hooke s law.

In this example the displacement is the extension so if we plot this function on the force displacement graph we get. In equation form we write. Beyond this point stretching. Hooke s law gives the force a spring exerts on an object attached to it with the following equation.

Force spring constant extension f k e this is when. How to calculate a spring constant using hooke s law. Understand how to analyze a spring force vs. Understand how to analyze a spring force vs.