Up Next. In the equation above, "P.E" is the elastic potential energy and expressed in joules, "X" is the displacement and "K" is the spring constant. ... and l The elastic potential energy equation is used in calculations of positions of mechanical equilibrium. The elastic potential energy formula is P.E = 1/2 kx2. This is known as Hooke's law. https://www.toppr.com/guides/physics-formulas/elastic-potential-energy-formula Elastic Potential Energy of a Strained Body (A) Using ## Y = \frac {stress}{strain}## we get ##F = \frac {AY}{L} * x## where ##F## is the restoring force, ##x## is the distance the body is stretched by. 2) A spring with a spring constant k = 800 N/m has been compressed, and 196 J of potential energy is stored. We might write this in equation form as F = k x. Calculating spring force . Different Forms of Expression of Strain Energy per Unit Volume: By definition of Young’s modulus of elasticity U = 1/2(7.50 N/m)(0.40 m) 2. U = 0.60 J. This is an expression for strain energy or potential energy per unit volume of stretched wire. This is also called as the energy density of the strained wire. The elastic potential energy stored by the spring when it is has been stretched 0.40 m is 0.60 J. Spring potential energy and Hooke's law review. This is the currently selected item. unit is J m-3 and its dimensions are [L-1 M 1 T -2]. k The total elastic energy placed into the spring from zero displacement to final length L is thus the integral. U = 0.60 N∙m. Spring potential energy and Hooke's law review. Expert Answer: Hooke's Law, F = -kx, where F is the force and x is the elongation. Elastic Potential Energy Formula. derivation of elastic potential energy. How much work is done when we stretch a spring a distance x from its equilibrium position? Elastic Potential Energy Formula Questions: 1) You have an elastic spring that has a spring constant of 1.5 x 10-2 Newtons per meter, and the spring is compressed by 15.0 cm. ... Lastly, throughout the derivation for stretching the body, signs are ignored, If I understand correctly. What is the PE of the spring? Asked by | 18th Dec, 2009, 12:50: PM. The spring constant k = 1.5 x 10-2 Newtons/m and the Δs = 15.0 cm = 0.15 m. Elastic Potential Energy. Its S.I. Khan Academy is a 501(c)(3) nonprofit organization. The work done = energy stored in stretched string = F.dx. Spring potential energy example (mistake in math) Our mission is to provide a free, world-class education to anyone, anywhere. The potential energy can be found using the formula: U = 1/2kx 2. Gravitational potential energy and conservative forces. Next lesson. derive an expression for elastic potential energy in a stretched wire and show that elastic energy . This physics video tutorial provides a basic introduction into elastic potential energy. Derivation of the Formula. First, we need to know about the general characteristics of a spring. 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