The spring constant of the branch satisfying Hooke's law is 1,658.46 N/m.
The given parameters;
The spring constant of the branch satisfying Hooke's law is calculated as follows;
F = kx
mg = kx
[tex]k = \frac{mg}{x} \\\\k = \frac{22 \times 9.8}{0.13} \\\\k = 1658.46 \ N/m[/tex]
Thus, the spring constant of the branch is 1,658.46 N/m.
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