As a preliminary investigation for the release of a top-secret project, your company has asked you to determine the spring constants for a collection of reference springs. fortunately, the measurements have already been carried out and you have only to interpret them. recall that spring displacement is governed by hooke's law, f = -k x where x is the observed displacement and f is the corresponding required force. since it is experimentally easier to use mass instead of displacement, the data sets instead specify mass, related by f = m/1000 * g where m is mass in grams and g is acceleration due to gravity. thus the spring constant k may be determined from the experimental data as the slope of the line fitting displacement and force data. the data are recorded in the format [ m x ]; that is, the mass in the first column and the displacement observed in the second. 5 15.5 10 33.07 20 53.39 50 140.24 100 301.03 compose a function `fit_spring` which accepts an array of data in this format and returns the corresponding spring constant k. use g=9.81