(Solved): Write a Python Code for the problem. Write a Python Code for the problem. Hooke's law, which holds ...

Write a Python Code for the problem. Write a Python Code for the problem. Hooke's law, which holds when a spring is not stretched too far, signifies that the extension of the spring and the applied force are linearly related. The proportionality is parameterized by the spring constant k. A value for this parameter can be established experimentally by placing known weights onto the spring and measuring the resulting compression. Such data were plotted in the given figure. Notice that above a weight of 40 xx10^(4)N, the linear relationship between the force and displacement breaks down. Use a linear regression to match the linear part, and use a quadratic polynomial regression to match the curved portion. Then, use a piecewise function to define the behavior over the entire range. Verify by plotting the piecewise function together with the data points and discussing results.