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Elastic Potential Energy and Hooke’s Law

Elastic Potential Energy and Hooke’s Law. Elastic Potential Energy. The energy available for use in deformed elastic objects Rubber bands, springs in trampolines, pole-vault poles, muscles For springs, the distance compressed or stretched =  x

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Elastic Potential Energy and Hooke’s Law

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  1. Elastic Potential Energy and Hooke’s Law

  2. Elastic Potential Energy • The energy available for use in deformed elastic objects • Rubber bands, springs in trampolines, pole-vault poles, muscles • For springs, the distance compressed or stretched = x • This is also the amount of work done on or by the spring

  3. Elastic Potential Energy • The spring constant (k) depends on the stiffness of the spring. • Stiffer springs have higher k values. • Measured in N/m • Force in newtons needed to stretch a spring 1.0 meters • What are the SI Units for PEelastic?

  4. Hooke’s Law • The Amount of force required to stretch a spring is known as Hook’s Law • The Force Required to stretch or compress a spring is: • F = -kx • Where k is the spring constant and x is the amount of stretch or compression.

  5. Practice Problem: A spring is hung vertically, and an object of mass 0.55 kg is attached to its lower end. Under the action of the “load” mg, the spring stretches a distance of 2.0 cm from its equilibrium position. • Find the spring constant of the spring • Find the Work done by the spring as it stretches through this distance k = 2.7 x102 N/m W = -5.4 x 10-2 J

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