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Name Section Date Lab Partner(s) EXPERIMENT 1 Experimental Uncertainty (Error) and Data Analysis Laboratory Report (f) Compute the percent error of the experimental value of g determined from the graph in part (e). (Accepted value: g = 9.8 m/s.) Calculations (show work) Percent error (g) The relationship of the applied force F and the displacement x of a spring has the gen- eral form F = kx, where the constant & is called the spring constant and is a measure of the "stiffness" of the spring. Notice that this equation has the form of a straight line. Find the value of the spring constant & of the spring used in determining the experi- mental data plotted in the Fig. 1.6B graph. (Note: Because k = F/x, the units of k in the graph are N/m.) Calculations (show work) Value of spring constant of spring in Fig. 1.6B graph (units) (h) The general relationship of the period of oscillation T of a mass m suspended on a spring is T = 27 Vm/k, where k is the spring constant. Replot the data in Fig. 1.7 so as to obtain a straight-line graph, and determine the value of the spring constant used in the experiment. [Hint: Square both sides of the equation, and plot in a manner similar to that used in part (e).] Show the final form of the equation and calculations. Calculations (show work) Value of spring constant of spring in Fig. 1.7 (units) (i) The data in sections (g) and (h) above were for the same spring. Compute the percent difference for the values of the spring constants obtained in each section. (continued) 19