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# Springs

## Calculations of objects on springs exhibiting simple harmonic motion.

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Springs

Measuring the elasticity of materials

### Time for Practice

1. A rope can be considered as a spring with a very high spring constant k,\begin{align*}k,\end{align*}so high, in fact, that you don’t notice the rope stretch at all before it “pulls back.”
1. What is the k\begin{align*}k\end{align*} of a rope that stretches by 1mm\begin{align*}1\;\mathrm{mm}\end{align*} when a 100kg\begin{align*}100\;\mathrm{kg}\end{align*} weight hangs from it?
2. If a boy of 50kg\begin{align*}50\;\mathrm{kg}\end{align*} hangs from the rope, how far will it stretch?

1. a. 9.8×105N/m\begin{align*}9.8 \times 10^5 \;\mathrm{N/m}\end{align*} b. 0.5mm\begin{align*}0.5 \;\mathrm{mm}\end{align*}

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