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PhoenixFire
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Calculating the Spring Constant.
A bungy cord 20m in length has a 85kg ball attached to it. The ball is dropped off a 45m building and stops 2m above the ground before going back up.
What is the spring constant?
I attempted to use \[U=\frac{1}{2}kx_{max}^2\] rearranged for k \[k=\frac{2U}{x_{max}^2}\] with x being the distance from equilibrium, or half the the total length \(x_{max}=\frac{1}{2} 43m=21.5m\)
then conserving energy I assumed \(U=mgh\) at the top of the building with \(h=45m2m=43m\).
From all this I got a spring constant of \(k=155.135 \frac{N}{m}\)
 one year ago
 one year ago
PhoenixFire Group Title
Calculating the Spring Constant. A bungy cord 20m in length has a 85kg ball attached to it. The ball is dropped off a 45m building and stops 2m above the ground before going back up. What is the spring constant? I attempted to use \[U=\frac{1}{2}kx_{max}^2\] rearranged for k \[k=\frac{2U}{x_{max}^2}\] with x being the distance from equilibrium, or half the the total length \(x_{max}=\frac{1}{2} 43m=21.5m\) then conserving energy I assumed \(U=mgh\) at the top of the building with \(h=45m2m=43m\). From all this I got a spring constant of \(k=155.135 \frac{N}{m}\)
 one year ago
 one year ago

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