Elastic potential energy in a stretched wire. 0 × 1011 Nm–2 is stretched by a force.

Elastic potential energy in a stretched wire. 0×1011N /m2 find (i) the energy density of wire (ii) the elastic potential energy stored in the wire. To solve the problem, we need to find the cross-sectional area of the steel wire given the elastic potential energy stored in it, its length, the amount it is stretched, and the Young's modulus of the material. c9748 #allboards #cbseclass12 #cbs Hint: When we stretch a wire, the interatomic forces that exist within it will oppose the change that occurs in it , that is, a restoring force occurs in the string and it is applied by the interatomic molecules. If young's modulus of copper wire is 1. Elastic Potential Energy Jul 4, 2024 · Find an answer to your question A steel wire of 4 m is stretched through 2 mm. The elastic potential energy of a stretched wire is given by the following formula, Feb 3, 2023 · Obtain an expression for elastic potential energy in a stretched wire. The elastic potential energy (in J ) of the system is In this problem you will derive an expression for the potential energy for a segment of a string carrying a travelling wave. This revision note covers calculations of energy stored in stretched materials. Jul 4, 2025 · Elastic potential energy is the energy stored in a material when it is stretched or compressed within its elastic limit. me/studyiqphysics0:00 Introduction0:30 Elast Nov 27, 2018 · #dailystory #subhranshupradhan For your queries:elastic potential energy in a stretched wire,elastic potential energy,elastic potential energy in a stretched The term 'elastic potential energy' is a broader category that refers to the energy stored in any deformed elastic object, such as a stretched wire, a bent ruler, or a rubber balloon. B. If Poisson ratio and transverse strain for the wire are 0. A steel wire of 4. Which statement about the area under the graph must be correct?A. If α2 is the longitudinal strain and Y is its Young's modulus of elasticity , then show that the elastic potential energy per unit volume is given by 1/2 Y 2. The energy stored per unit volume of the stretched wire is called its energy density. It is the elastic potential energy stored in the stretched sample. Step 2: Define Initial and Hint: The elastic potential energy per unit volume of a wire stretched by hanging a weight from its end is given by half stress on the wire due to the weight ( i. The same force is applied to wire Y of the same material, with the same initial length but twice the diameter of wire X. Calculate the elastic potential energy stored in the wire in the stretched condition. The graph shows the variation of force with length for the wire. For example, when you stretch a spring, it gains elastic potential energy which is released when the spring returns to its original position. in a spring) when it is stretched or compressed Elastic potential energy for a material deformed within its limit of proportionality is found from the area under the force-extension graph So, the work done is also equal to the elastic potential energy stored in the material when it Class 11 -Energy Stored in a Stretched Wire Derivation (Chapter -Elasticity) Pritam Cham 65. Reason Potential energy stored in the wire is 1/2 (stress) × (strain) In this video: Derivation of elastic potential energy from class 11 Physics chapter 5 work energy power which is from ncert chapter 5 of ncert. Young's modulus of steel =2. #solid Master the 8. Elastic potential energy is the energy stored in an object when it is stretched, compressed, or deformed and can return to its original shape. elastic potential energy:- it is the energy stored in a wire by applying a force on it. Find the elastic potential energy and energy … In stretching a wire work is done against internal restoring forces. Sep 30, 2021 · In this video we will discuss about Elastic Potential Energy In A Stretched Wire. The work that is done against the restoring forces is stored as its elastic potential energy. be/KhcPZBLFROcMechanical properties of Jan 14, 2019 · Derive expression for elastic potential energy of a stretched wire. The units of k are N m −1. Hence, the expression for the elastic potential energy of a stretched wire is W = 1 2 F I. Explanation: To calculate the elastic potential energy stored in the wire, we use the formula for elastic potential energy in a stretched wire: U = 21 × AF ×ΔL ×L where F is the force applied, ΔL is the change in length, A is the cross-sectional area, and L is the original length. the Young’s modulus times strain) multiplied by the strain on the wire due to its weight. the cross sectional area of the wire is 4 mm2. Suppose on applying force F, elongation x is produced in the body. Derive an expression for the elastic potential energy stored in a stretched wire under stress. The energy is stored until the force is removed and the object springs back to its original shape, doing work in the process. 9. But as soon as the stress is relieved, instantly the spring gains its normal shape. 0×1011 N m−2. [1] The Jan 18, 2020 · ELASTIC POTENTIAL ENERGY STORED IN A STRETCHED WIRE Doubtnut 3. Lecture 1https://youtu. Then the elastic energy stored in the wire is [2 0 0 3] (A) 0. This work done is known as the elastic potential energy of a stretched wire. Since l is the dummy variable in the integration, we can change l to lʹ (not in limits). Apr 3, 2024 · The elastic potential energy stored in a stretched wire per unit volume is proven to be equal to 21 times stress multiplied by strain using Hooke's Law and the integration of work done in stretching the material. Elastic energy occurs when objects are impermanently compressed, stretched or generally deformed in any manner. It explains how to calculate the elastic potential energy and how to determine the amount of work A wire X is stretched by a force and gains elastic potential energy E. When stress is applied on any wire strain is generated and some work has to Jan 5, 2024 · Elastic potential energy in stretched string (@mehtaeducationchannelm. This energy is most commonly observed in springs, rubber bands, and elastic materials. 1 J Feb 8, 2017 · Derive expression for elastic potential energy in a stretched wire ? Get the answers you need, now! Dec 4, 2024 · What is the difference between elastic potential energy and chemical potential energy? Ans. Apr 25, 2023 · The elastic potential energy stored in a steel wire of length 20 m stretched through 2 cm is 80 J. For a wire under tension, stress is force/area and strain is change in length/original length. 77M subscribers Subscribed A steel wire of length 2. The elastic modulus allows us to determine how a given material will respond to stress. Elastic Potential Energy in a Stretched Wire Ram Murti Sharma 3. Spring Potential Energy When a stretched spring is compressed or extended, we experience a force that is equal to the force applied by us in the opposite direction. Dec 29, 2022 · The tension in the wire is the force applied to stretch the wire, and the elastic potential energy is the energy stored in the wire as a result of being stretched. When a body is deformed, work is done by the deforming forces against the intermolecular force of attraction between the molecules of the body. Make sure to check out our potential energy calculator, too! Stress developed in the stretched copper wire is 6 ×105 N/m2. Therefore W = ∫ l 0 YAlʹ L dlʹ = YA L [lʹ 2 2] l 0 = YA L l 2 2 = 1 2 [YAl L] l = 1 2 Fl. Using the formula, we will calculate the elastic potential energy per unit volume. Elastic energy is the mechanical potential energy stored in the configuration of a material or physical system as it is subjected to elastic deformation by work performed upon it. If ν and Y are the Poisson's ratio and Young's modulus for the wire, then elastic potential energy density of wire is May 1, 2019 · A steel wire of length 2. Suppose a wire having length 'L' and cross-section area (A) is being deformed by a deforming force 'F' . 0 m in length is stretched through 2. Using Hooke's Law, F = Y × LΔL ×A, where Y is Young's Dec 19, 2024 · A wire is stretched by applying increasing values of force F. This work is stored in the wire in the form of elastic potential energy. Complete step by step solution: Oct 8, 2020 · The work done in stretching the wire by dl, dW = F. In this Concepts: Young's modulus, Strain, Elastic potential energy Explanation: To find the energy stored per unit volume in a stretched wire, we use the formula for elastic potential energy per unit volume: U = 21 ×Young’s modulus×strain2. c9748 Numerical problems(@mehtaeducationchannelm. 0 mm. The cross-sectional area of the wire is 4. Register free for online tutoring session to clear your doubts. 01% in it. Both wires obey Hooke’s law. Oct 3, 2023 · Total elastic potential energy stored in a stretched wire of length l cross sectional area a and Young’s modulus y fixed at one end is - 58272181 A steel wire of length 2. / @learnandgrow #Physics #PhysicsLectures When a uniform metallic wire is stretched, the lateral strain produced in it is β, and given σ and Y as the Poisson's ratio and Young's modulus for the wire respectively, the elastic potential energy density of the wire can be calculated using relevant physical concepts. It's determined by the work done to stretch or compress the spring, calculated using the formula 1/2kx^2, with k being the spring constant and x the distance stretched. 0 mm = 2 * 10^-3 m , l Dec 16, 2024 · Explanation: The elastic energy stored per unit volume in a stretched wire can be derived from the formula for elastic potential energy. 57K subscribers Subscribed Potential Energy Stored in a Stretched Wire↪ Suppose a wire of length L and area of cross-section A is stretched through an extension l. be/W8D Elastic Potential Energy Stored in a Stretched wire #physics #class11 #elasticity #physicsbyneetu To derive the expression for the elastic potential energy stored in a stretched wire under stress, we will follow these steps: Step 1: Understand the Concept of Work Done The elastic potential energy (U) stored in a stretched wire is equal to the work done (W) in stretching the wire. Work is to be done during extension of wire due to external applied force. Nov 7, 2023 · where k is a proportional constant called the force constant. This video provides a basic introduction into Hooke's law. This Cranes work is stored in the wire in the form of elastic loads from potential energy. It is the work done in stretching For this we have to use the formula of work done in stretching a wire. 0 Joules. The discrepancy arises from the integration of work done during the stretching process. ↪ Then the longitudinal strain in the wire and the tensile stress ↪ If the wire is stretched through a small extension dl, the elementary work done is↪ The total work done in stret Class 11 Physics chapter 8 : Mechanical Properties of SolidsDownload lecture Notes of this lecture fromhttps://t. When a uniform metallic wire is stretched the lateral strain produced in it is β. 2 and 10–3 respectively, then the elastic When a uniform metallic wire is stretched the lateral strain produced in it β. Dec 14, 2021 · Work is to be done during extension of wire due to external applied force. MECHANICAL PROPERTIES OF SOLIDS |Elasticity : Energy Stored in a Streched Wire JEE MAINS| NEETEnergy Stored in a Streched WireElastic Potential Energy in a s Learn about elastic potential energy formula topic of Physics in details explained by subject experts on vedantu. Nov 14, 2024 · Elastic Potential Energy Elastic potential energy is defined as The energy stored within a material (e. This work is stored in the form of potential energy in the wire known as strain energy or elastic energy. What actually happens within some of the materials mentioned in the examples may be quite complex, but we can calculate the energy stored in a stretched metal wire where Hooke's law is obeyed as follows. 6. Solution Hint Solve with us Elastic Energy Stored in Wire in Mechanical Properties of Solids for IIT-JEE and NEET Physics is the video lesson here. An increasing force acts on a metal wire and the wire extends from an initial length l0 to a new length l. explain it also - 7637201 Jul 12, 2023 · The storage and release of potential energy in the wire during stretching and subsequent release can be utilised in energy-efficient devices. The cross sectional area of the wire is 4. When we think of potential energy, often the first thing that we can imagine is an object high in the air and just starting to fall. 0 m/s is stretched through 2. The ratio of the stored elastic energy per unit volume in the first and second wire is, Nov 10, 2024 · Assertion If a wire is stretched, only half of the work done in stretching the wire remains stored as elastic potential energy. 2 J (B) 10 J (C) 20 J (D) 0. Consider a wire whose un-stretch length is L and the area of cross-section is A. This is called the spring potential energy. This relationship illustrates how stress and strain interact in elastic materials. 62K subscribers Subscribe This video includes detailed explanation of elastic potential energy in a stretched wire of chapter 9 (Mechanical Properties of Solids). We will calculate the stress, strain in the wire and the young’s modulus of wire. The potential energy stored in a stretched wire is the work done to stretch the wire. Elastic potential energy is energy stored by stretching or compressing an object. The work done = energy stored in stretched str Potential energy: The work done on an item by the continuous gravitational force at the Earth's surface across any displacement is solely determined by the difference in the positions of the displacement's end-points. We have discussed,Elastic Potential Energy in a Stretched Wire in chapter 9 Mechanical Properties of Solids Class 11 CBSE NCERT. 0 m is stretched through 2. If Young's modulus of steel is 2. In this article, we will discuss the elastic potential energy formula with an example. Reason Potential energy stored in the wire is 1/2 (stress) xx (strain) View Solution Elastic Potential Energy In A Stretched Wire|Mechanical Properties Of Solid|Akshi Academy|Class 11Topics CoveredClass 11 Physics Chapter 9Mechanical properti MECHANICAL PROPERTIES OF SOLIDS 04 || Elasticity : Energy Stored in a Streched Wire JEE MAINS/ NEET Physics Wallah - Alakh Pandey 13. It can be calculated as \frac {1} {2} F x. The cross sectional area is 4 mm^2. Let’s get started by understanding what is elastic potential energy. com. 5kx2, where PEel is the elastic potential energy, k is the force constant, and x is the displacement from equilibrium. Jan 28, 2024 · To find the elastic potential energy stored in the system of the copper and steel wires, we first need to calculate the elongation (stretch) of each wire under the applied tension of 500 N. 5 c m 2 are fastened end to end and stretched with a tension of 500 N . A wire of initial length L and radius r is stretched by a length l. Solving for k, we find that k = 2000 N/m. Welcome to this detailed explanation on the derivation of **Elastic Potential Energy** stored in a stretched wire! In this video, we break down the concepts Elastic potential energy is the potential energy stored by stretching or compressing an elastic object by an external force such as the stretching of a spring. The weight stretches the wire by 1 mm. Oct 19, 2024 · Understand elastic potential energy for your AP Physics 1 exam. The general formula is given by: U = 1 2 ×Stress×Strain×Volume Step 2: Define stress and strain - Stress (σ) is defined as the force (F A metallic wire is stretched by suspending a weight to it. Explain the concept of Elastic Potential Energy in a stretched wire and hence obtain the expression for it. It is equal to the work done to stretch the spring which depends on the spring constant k and the distance stretched. 02 in decimal form) and the Young's modulus of steel is 2×1011N/m2, we can substitute these values into the formula to find A metal wire having poisson ratio 1/4 and young's modulus 4×1010 N/m2 is stretched by a force, which produces a lateral strain of 0. Dec 27, 2019 · Prove that elastic potential energy density of a stretched wire is equal to half the product of stress and strain. What is elastic potential energy? Elastic potential energy is energy stored as a result of applying a force to deform an elastic object. If a wire stretched by hanging a weight from its end, the elastic potential energy per unit volume in terms of longitudinal strain σ and modulus of elasticity Y is :- Hint: In order to stretch a wire, some work must be done against the restoring force. The elastic potential energy of the spring helps to get back to normal shape. A force-extension graph is plotted from the data obtained. Given that the strain is 2% (or 0. The cross sectional area of the wire is______ mm2 . This work done is stored in the body in the form of elastic potential energy. Let a force produce an extension 1 and further assume that the elastic limit of the wire has not been exceeded and there is no loss in energy. The derivation shows that the elastic potential energy density of a stretched wire is equal to σε/3, not σε/2 as commonly stated. Potential energy stored in the wire can be calculated using Jul 23, 2025 · We can use the elastic modulus to calculate how much a material will stretch and also how much potential energy will be stored. This work done will be stored in wire as elastic potential energy. 6 Elastic Potential Energy in a Stretched Wire When a wire is put under a tensile stress, e done against the inter-atomic forces. 6K subscribers Subscribed Jul 20, 2025 · To derive the expression for the energy stored in a stretched wire, we use the concepts of elastic potential energy and Hooke's Law. Calculate the elastic potential energy (in J) stored in the wire in the stretched condition. The extension x is the increase in length of the wire due to the force. For each value of force applied, the extension x is recorded. Complete step by step answer: Let us consider a stretchable wire attached to surface and a mass suspended from its end as shown in the Elastic potential energy in a stretched wire Derivation class 11Physics TERM-2 videos -Syllabus term-2 :https://youtu. Jan 16, 2025 · What is meant by elastic potential energy? Derive an expression for the elastic potential energy of stretched wire. . Generally, it follows To find the elastic potential energy of a stretched wire, we can follow these steps: Step 1: Understand the formula for elastic potential energy The elastic potential energy (U) stored in a stretched wire can be expressed in terms of stress and strain. Formulas used: Work Done, W = Average force × increase in length= F 2 × Δ l Energy per unit volume in a stretched This work done is stored in the form of potential energy (U) of the stretched wire. If you like our work, Dec 5, 2018 · Find an answer to your question Explain the concept of elastic potential energy in a stretched wire and hence obtain the expression for it. A wire of metal is stretched with a load. The potential energy of a segment equals the work done by the tension in stretching the string, which is ΔU =F (Δl−Δx), where F is the tension, Δl is the length of the stretched segment and Δx is the original length. The cross - sectional area of the wire is 2. Nov 1, 2023 · The elastic potential energy stored in a steel wire stretched through 2 cm can be calculated using the equation PEel = 0. calculate the elastic potential energy stored in the wire in the stretched condition. Define the terms elastic after effect and elastic fatigue. The cross-sectional area of the wire is 2. in a spring) when it is stretched or compressed It can be found from the area under the force-extension graph for a material deformed within its limit of proportionality A material within its limit of proportionality obeys Hooke’s law Therefore, for a material obeying Hooke’s Law 📚 Elastic Potential Energy | Class 11 Physics | Mechanical Properties of Solids | Important Topics CBSE 2025 In this video, we explore the concept of elastic potential energy, an essential part A uniform wire of Youngs modulus Y is stretched by a force within the elastic limit. or, Strain = Δl / l here, Δl = 2. Prove that in my unit volume of the wire, The stored potential energy is 1 2 Y ∆ X 2 we're Y is the Young's modulus the material of the wire and is the longitudinal on the strain. Mar 26, 2024 · Elastic potential energy refers to the energy stored in a stretched or compressed spring or wire. 0 × 1011 Nm–2 is stretched by a force. 0 x 1011 Nm-2) Dec 19, 2024 · The elastic potential energy stored in a deformed material is given by (1/2) * stress * strain * volume. When a force is applied to stretch the wire, the wire undergoes an elongation (ΔL). In this article, we will study about elastic potential energy formula, its derivation and applications of elastic potential energy in day-to-day life. g. Dec 24, 2024 · Elastic potential energy Elastic potential energy is defined as the energy stored within a material (e. What is the work done by the wire as it contracts? Explore all Elastic Potential Energy in a Stretched Wire related practice questions with solutions, important points to remember, 3D videos, & popular books. This calculation follows from determining strain, stress, and the wire's volume. The energy required to extend the wire from l0 to l is E. This formula has numerous applications in various fields, including physics, engineering, and materials science. Elasticity theory primarily develops formalisms for the mechanics of solid bodies and materials. What is the gain in elastic potential energy of wire Y? A steel wire of length 2. Write down the expression for the elastic potential energy of a stretched wire. The elastic potential energy (U) stored in a stretched wire is equal to the work done (W) in stretching the wire. Elastic Potential Energy in a Stretched Wire (class 11 Physics) Anniappan Academy 2. Prove that its elastic energy density is equal to 1/2 stress x strain. Mar 26, 2020 · Given, A steel wire of length 2. EKASTIC POTENTIAL ENERGY IN A STRETCHED WIREHooke’s Law, F = -kx, where F is the force and x is the elongation. A wire X is stretched by a force and gains elastic potential energy E. Elastic potential energy density in materials under deformation is a function of the material's physical properties and Explore all Elastic Potential Energy in a Stretched Wire related practice questions with solutions, important points to remember, 3D videos, & popular books. The same force is applied to wire Y of the same material, with the same initial length but twice the diameter of wire X. The elastic potential energy stored per unit volume in wire is (in J/m3) ⇒ Elastic potential energy (E ep) is stored in a stretched wire or rubber band. 0 mm2. The elastic potential energy (U) stored in a wire is given by U = (1/2) * F * ΔL, where F is the force applied and ΔL is the extension. Potential energy is the energy that an object has stored in it due to its position. According to physics and material science principles, the elastic potential energy density (u) stored in a stretched or compressed material is given by the formula u = σε/2, where σ is the stress and ε is the strain. Elastic potential energy in a stretched wire || mechanical properties of solids || XI Physics MK Sir Physics 4. So the work has to be done against this restoring forces. Ans: Consider a wire of length L and area of a cross section and is subjected to a deforming force F alemi. 6 Elastic Potential Energy in a Stretched Wire When a wire is put under a tensile stress, work is based on is done against the inter-atomic forces. Solution: Strain can be given as change in dimension / original dimension. Complete step by step answer: The elastic potential energy stored in a wire is equal to the work done in stretching a wire to that length. Explore all Elastic Potential Energy in a Stretched Wire related practice questions with solutions, important points to remember, 3D videos, & popular books. By using these values, we find that the energy stored when the wire is stretched is 8. - Physics Advertisements Advertisements Question A metallic wire is stretched by suspending weight from it if α is the longitudinal strain & y is the young's modulus, show that elastic potential energy per unit volume is given by 1 2 y α 2 . 5. Feb 13, 2018 · Find an answer to your question prove that the elastic potential energy density of a stretched wire is equal to half the product of stress and strain? Apr 5, 2024 · The elastic potential energy density of a stretched wire can be proven to be half the product of stress and strain through the relationship of work done in stretching the wire according to Hooke's Law. The negative sign signifies that the direction of the force is opposite to that of the extension. Jan 15, 2018 · Derive the expression for elastic potential energy stored in a stretched wire under stress Get the answers you need, now! Feb 27, 2025 · Learn about the elastic strain energy formula for your AQA A Level Physics exam. 0 m is stretched through 2 mm. C. dl The total work done in stretching the wire from 0 to l is From Young’s modulus of elasticity, force becomes, Substituting equation (2) in (1) we get, This work done is known as the elastic potential energy of a stretched wire. The elastic potential energy stored per unit volume in wire is (in J/m3) The question is about determining the elastic potential energy density of a wire, represented by a uniform metallic wire experiencing lateral strain β when stretched. If S is the stress produced in the wire and ε is the strain in it, the potential energy stored per unit volume is given by This work done is stored in the body in the form of elastic energy. This topic is very important for class 11 Physics Need help understanding the relationship between work done in stretching a wire and elastic potential energy? Expert tutors answering your Physics questions! A uniform wire of Youngs modulus Y is stretched by a force within the elastic limit. Nov 23, 2019 · The work done by the external applied force during stretching is stored as potential energy (U) in the wire and is called as strain energy in the wire. The stress (σ) is defined as F/A and the strain (ε) is defined as ΔL/L. e. Jan 12, 2025 · The elastic potential energy stored in the steel wire, given its properties and Young's modulus, is calculated to be 8. The deformation could involve compressing, stretching or twisting the object. e a restoring force will be applied by the interatomic molecules. To find: Calculate the elastic potential energy stored in the wire in the stretched condition. Note: Students should be aware that within elastic bounds, young's modulus can also be defined as the ratio of longitudinal stress to longitudinal strain. This work is stored in the wire as elastic potential energy or strain energy. Another wire of same material but with initial length 2L and radius 2r is stretched by a length 2l. ∴ Energy stored in wire Energy stored in per unit volume of wire A metal wire having poisson ratio 1/4 and young's modulus 4×1010 N/m2 is stretched by a force, which produces a lateral strain of 0. Assertion If a wire is stretched, only half of the work done in stretching the wire remains stored as elastic potential energy. Implementing this on an industrial scale requires not only an understanding of the stretched wire theory but also manufacturing processes, cost, and material limitations. MECHANICAL PROPERTIES OF SOLIDS in the CBSE 11 Physics Part 2 course using AI-powered lessons, audio guides, flashcards, glossary, and quizzes for learning. Read on to get a better understanding of this concept, including an elastic potential energy definition and an example of calculations. 0 xx10^ (11) Nm^ (-2) find (i) the energy density of the wire, (ii) the elastic potential energy stored in the wire. I f σ and Y are the pisson 's' ration Young's modulus for wire,then elastic potential energy density of wire is View Solution Q 3 The elastic potential energy formula is a fundamental concept in physics that describes the energy stored in an object due to its deformation or stretching. Dec 14, 2021 · Hey student’s we know that when load is applied to free end of wire, extension is produced in the wire. Calculate the elastic potential energy (in J) store A wire suspended vertically from one of its ends is stretched by attaching a weight of 200 N to the lower end. 0x10^11Nm^-2` May 27, 2025 · A steel wire of length 2 m and Young's modulus 2. 3M subscribers 37K Potential energy is the form of energy that an object possesses by virtue of its position. W = 1 2 Fl. Consider a body of length L and of cross section area A. Hint: When a wire is stretched , the interatomic forces of rod will oppose the change i. 0 mm^2. length. Microscopic Understanding of Various States of Matter. Young modulus of steel `=2. If S is the stress produced in the wire and ε is the strain in it, the potential energy stored per unit volume is given by This elastic potential energy calculator makes it easy to determine the potential energy of a spring when stretched or compressed. 2×1011 N/m2, find the energy stored per unit volume in the stretched wire. The elastic potential energy stored in a stretched wire is given by: U = 1 2YAΔL2 L When a wire is put under a tensile stress, work is done against the inter-atomic forces. Explore how to calculate energy stored in stretched or compressed springs that obey Hooke’s law. Aug 1, 2020 · What do you understand by potential energy in a stretched wire? Find a relation for it and hence determine the elastic potential energy per unit volume of th Jan 6, 2023 · Derive an expression for the energy stored in a stretched wire and hence write the expression for potential energy per unit volume of wire. (Given, y = 2. A metallic wire is stretched by suspending a weight to it. You can JOIN US by sign up by clicking on this link. The wire then contracts to half its original extension. 45K subscribers Subscribed A copper wire ( Y = 1 × 10 11 N / m 2 ) of length 8 m , and a steel wire ( Y = 2 × 10 11 N / m 2 ) of length 4 m , each of cross-section 0. This work done is stored in the wire in the form of potential energy of wire. 5 Elastic Potential Energy in a Stretched Wire from 8. If young's modulus of steel is 2. The following shows how a rubber band may be stretched ⇒ When it is released it can convert its stored energy into the kinetic energy of a puck, which slides along the runway ⇒ This graph shows that the force required to strech the band back depends on the distance it is pulled back ⇒ Because the force Feb 18, 2023 · 9. When a body is deformed, the work done by the deforming forces against the intermolecular force of attraction is stored as elastic potential energy. zycqnk lqmzek nxcjz rlefv vxd ptut atfnl ssriwjj qxlvr nqwritf