# elastic potential energy formula derivation

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