Help A student hangs masses on a spring and measures the spring\'s length L as a

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A student hangs masses on a spring and measures the spring's length L as a function of the applied force in order to find the spring constant k. The measurements are: There is an uncertainty of 0.2 cm in each measurement of the length. The uncertainty in the masses is negligible. In model #1 of a perfect spring, k1 Delta L1 = F, Where F = mg, and the extension Delta L1 = length L-unstreched length L1. In a second mode #05 of a perfect spring, the extension kos (Delta L)0.5 = F, where F = mg, and Delta L0.5 = L -L0.5, and L0.5 is the unstreched length of the spring in the model. Use these data and the method of least squares to find the spring constants k1 and k0.5, the unstreched lengths L1 and L0.5 of the spring, and their uncertainties delta k1, delta k0.5, And delta L0.5. Argue why one model of a perfect spring is better than the other. Estimate the uncertainty introduced into the results for spring constant and unstreched length solely because of the difference in the models.

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