Elastic Strings & Springs (Edexcel A-Level Further Mathematics): Flashcards

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Elastic Potential Energy
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Elastic potential energy definition

Energy stored when string/spring stretched or compressed

Formula for elastic potential energy

Ee=12λx2lE_e = \frac{1}{2} \frac{\lambda x^2}{l}

λ\lambda in elastic PE formula

Modulus of elasticity (N)

xx in elastic PE formula

Extension or compression (m)

ll in elastic PE formula

Natural length (m)

How to calculate extension xx

Stretched length - natural length

Work-energy principle with elastic PE

Work done = ΔKE+ΔPE+ΔEe\Delta KE + \Delta PE + \Delta E_e

EeE_e at natural length

Zero (no extension)

Tension in elastic string formula

T=λxlT = \frac{\lambda x}{l}

Unit of elastic potential energy

Joules (J)

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