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