The spring constant of bungee rope is 36.98n/m.
The spring constant, k, is a measure of the stiffness of the spring. It is measured by using Hooke’s law, it is the force required to compress or extend a spring is proportional to the length stretched.
This restoring force follows Hooke’s Law, which relates spring force to constant spring force.
Spring Force = -(Spring Constant) × (Displacement)
F=-kx
F: The restoring force of the spring, directed towards equilibrium.
K: The spring constant in N.m-1.
X: The spring’s displacement from its equilibrium position.
Given
m=60.kilogram
Time period T=8.00s
For this, we have a formula,
[tex]T=2\pi *\sqrt{\frac{m}{k} } \\\\8=2*3.14*\sqrt{\frac{60}{k} } \\squaring on both sides we get\\\\64=\frac{39.4384*60}{k} \\\\k=\frac{2366.304}{64} \\\\k=36.98[/tex]
∴ The spring constant(k)=36.98n/m
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