(Solution) - When different weights are hung on a spring -(2025 Original AI-Free Solution)

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When different weights are hung on a spring, the spring stretches to different lengths as shown in the following table.
(a) Make a graph of the applied force versus the extension of the spring. By least-squares fitting, determine the straight line that best fits the data. (You may not want to use all the data points.)
(b) From the slope of the best fit line, find the spring constant k.
(c) If the spring is extended to 105 mm, what force does it exert on the suspended weight?
F (N) 2.0 4.0 6.0 8.0 10 12 14 16 18 20 22
L (mm) 15 32 49 64 79 98 112 126 149 175 190