How to demostrate k in Hook' s law?

[Ignition]

How to demostrate k in Hook' s law?

 

[DMac]

Experimentally, you could probably use a spring setup where a spring is suspended vertically, and a mass is hung at the end. You measure the length of stretch of the spring, as well as the force applied to it (which is the weight of the mass). Doing multiple trials with different masses will give you enough data to plot a graph of F vs. x. You will notice that the slope of this line is constant, and it is equal to k.

 

[Moetasim]

To demonstrate the constant k in Hook's law, one can conduct an experiment by suspending an object (such as a spring) from a fixed point and attaching a known weight to the end of the object. By measuring the displacement of the object and the corresponding force applied, one can plot a graph of force versus displacement. The slope of this graph will represent the constant k, as it is the ratio of the force applied to the displacement. Repeating this experiment with different weights will result in a consistent value for k, thus demonstrating the validity of Hook's law. Additionally, one can also use mathematical calculations to determine the value of k by dividing the force applied by the corresponding displacement. This can be done for multiple data points to ensure accuracy and consistency. Overall, by conducting experiments and using mathematical calculations, one can effectively demonstrate the constant k in Hook's law.