Elastic potential energy

Elastic potential energy

The elastic potential energy is defined as a work (force x distance) needed to compress or expand an elastic body. The potential energy of a string or spring of length "l" that has modulus of elasticity "λ" under an extension of "x" is then:E = frac{lambda x^2}{2l}

This formula is obtained from the integral of Hooke's law:

:U_e = int {k x}, dx = frac {1} {2} k x^2

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)


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