Elastic potential energy
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The elastic potential energy is the potential energy of a string or spring that has elasticity. For a spring of natural length, l, and modulus of elasticity λ under an extension of x it can be calculated using the formula:
This formula is obtained from the integral of Hooke's law:
The equation is often used in calculations of positions of mechanical equilibrium.
Elastic Potential Energy is the kind of energy that is stored in a bow, or in a catapult, or in a spring.
The energy stored = the work done to stretch the bow, so:
Elastic Energy (joules) = Average Force (newtons) x Distance (meters)