A student hangs masses on a spring and measures the spring's extension as a function of the applied force in order to find the spring constant k. Her measurements are: Mass(kg): 200, 300, 400, 500, 600, 700, 800, 900 Extension (cm): 5.1, 5.5, 5.9, 6.8, 7.4, 7.5, 8.6, 9.4 There is an uncertainty of 0.2 inces in each measurment of the extension. The unccertainity in the masses is neglible. For a perfect string, the extension delta L of the spring will be related to the applied force by the relation kDelta L=F, where F=mg, and Delta L= L-L_0, L_0 is the unstretched length of the spring. Use these data and method of the least squares to find the spring constant k, the unstretched length of the spring L_0, and their uncertainties. Find Chi^2 for the fit and associated probability.