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# Springs

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

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Practice Springs
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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 $k,$ so high, in fact, that you don’t notice the rope stretch at all before it “pulls back.”
1. What is the $k$ of a rope that stretches by $1\;\mathrm{mm}$ when a $100\;\mathrm{kg}$ weight hangs from it?
2. If a boy of $50\;\mathrm{kg}$ hangs from the rope, how far will it stretch?

1. a. $9.8 \times 10^5 \;\mathrm{N/m}$ b. $0.5 \;\mathrm{mm}$