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For a material of Young's modulus, Y (same as modulus of elasticity λ), cross sectional area, A 0, initial length, l 0, which is stretched by a length, : = = where U e is the elastic potential energy. The elastic potential energy per unit volume is given by: = = where = is the strain in the material.
the first one is the total elastic potential energy of the elastic body; the second one is the total potential energy due to the body forces, for example the gravitational force; the third one is the potential energy due to surface forces, for example the forces exerted by the atmospheric pressure
There are various types of potential energy, each associated with a particular type of force. For example, the work of an elastic force is called elastic potential energy; work of the gravitational force is called gravitational potential energy; work of the Coulomb force is called electric potential energy; work of the strong nuclear force or weak nuclear force acting on the baryon charge is ...
For a stretched spring fixed at one end obeying Hooke's law, the elastic potential energy is Δ E p = 1 2 k ( r 2 − r 1 ) 2 {\displaystyle \Delta E_{p}={\frac {1}{2}}k(r_{2}-r_{1})^{2}} where r 2 and r 1 are collinear coordinates of the free end of the spring, in the direction of the extension/compression, and k is the spring constant.
The potential energy U of such a system can be determined through the spring constant k and its displacement x: [14] U = ( 1 2 ) k x 2 {\displaystyle U=\left({\frac {1}{2}}\right)kx^{2}} The kinetic energy K of an object in simple harmonic motion can be found using the mass of the attached object m and the velocity at which the object ...
For more general situations, any of a number of stress measures can be used, and it is generally desired (but not required) that the elastic stress–strain relation be phrased in terms of a finite strain measure that is work conjugate to the selected stress measure, i.e., the time integral of the inner product of the stress measure with the ...
In physics, an elastic collision is an encounter between two bodies in which the total kinetic energy of the two bodies remains the same. In an ideal, perfectly elastic collision, there is no net loss of kinetic energy into other forms such as heat, noise, or potential energy.
One of Daytop’s founders, a Roman Catholic priest named William O’Brien, thought of addicts as needy infants — another sentiment borrowed from Synanon. “You don’t have a drug problem, you have a B-A-B-Y problem,” he explained in Addicts Who Survived: An Oral History of Narcotic Use In America, 1923-1965, published in 1989. “You ...
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