Elastic Potential Energy (Edexcel A-Level Further Mathematics): Quizzes

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Elastic Potential Energy
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What is elastic potential energy?

Energy stored when spring is stretched

What is the formula for elastic potential energy?

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

In the elastic PE formula, what does λ\lambda represent?

Modulus of elasticity

In the elastic PE formula, what does xx represent?

Extension or compression

A string of natural length 3 m is stretched to 3.8 m. What is the extension xx?

0.80.8 m

Find EeE_e for a string: l=2l = 2 m, λ=60\lambda = 60 N, stretched to 2.4 m.

2.42.4 J

What does the work-energy principle equal for a spring system?

ΔKE+ΔPE+ΔEe\Delta KE + \Delta PE + \Delta E_e

What is the elastic potential energy at the natural length of a spring?

Zero

What are the units of elastic potential energy?

Joules (J)

A 0.4 kg particle on a string (l=1l=1 m, λ=50\lambda=50 N, x=0.4x=0.4 m) is released. Find speed at x=0x=0.

20\sqrt{20} ms−1^{-1}

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