Elastic potential energy bar graph. — unstable equilibnum conservative force nonconservative force potential energy, U gravitational potential Question: Objectives: I . Apply today to experience the convenience and peace of mind that comes with having access to funds whenever you need them. You may use the “Pause” and “Next” control buttons at the lower right of the animation to step through the animation and make it easier for these observations. Mar 5, 2012 · "LOL diagrams are my life. This work contributes in changing the potential energy of the spring, which is otherwise known as Elastic Potential Energy, EPE. You use the toy pistol to shoot the dart straight up. Energy transfer happens when releasing the ball and the force of gravity transfers the potential energy to kinetic energy as the ball moves faster and faster toward Earth. 2: Energy plots of for a spring-mass system Jun 24, 2020 · 7. Shaded regions should start at the Dec 5, 2022 · The Main Idea Spring Potential Energy Spring potential energy, also known as elastic potential energy,is the stored energy in a spring, that can potentially be converted into kinetic energy. The shaded area (triangle) is the work done by the spring force. Where on the track is the skater's kinetic energy the greatest? a) at its maximum value at the locations where the skater turns and Elastic Potential Energy (sometimes called 'stretch or compressed' potential energy) is found in springs, elastic materials (balls and bands). Energy-Bar Graphs I a. Draw bar graphs that describe the forms of energy present in the following instances. Figure at the right shows a graph of the elastic potential energy for an ideal spring. Recall from Practice question 7 in Section 4. calculate gravitational and elastic potential energy, III . To derive an equation for elastic potential energy, we consider the work done on an ideal spring in stretching or compressing it. Observe that this work-energy bar chart reveals that there is no kinetic and elastic potential energy in the initial state there is no gravitational and elastic potential energy in the final state there is no work done by external forces the sum of the heights on the right (5 units) equals the sum of the heights on the left (5 units) Conservation of Mechanical Energy: Mass on a Vertical Spring Description This is a simulation showing a mass oscillating on the end of a spring. Apply today and enjoy financial flexibility through our quick and secure application process. (a)Draw shaded bars that represent and of the system to complete the energy bar charts shown in Figure for when the block is at positions and. b. Don't let unexpected expenses catch you off guard – apply for an Elastic line of credit today and experience the ease and peace of mind that comes with having a financial safety net. The elastic potential energy of a spring (EPE) is thus given by the formula Unlike GPE which increases linearly with height, EPE increases quadratically with extension. Elementary students will love this experiment and will understand the concept, but middle schoolers can take it a step further by creating graphs with their results. where PE el is the elastic potential energy stored in any deformed system that obeys Hooke’s law and has a displacement x from equilibrium and a force constant k. Draw the ENERGY BAR GRAPH diagrams when the mass is at the identified positions 2. Explain what information the bar graph representation (from the simulation) displays and how it displays this information. In this system, energy manifests itself in different ways as the toy moves through its motion. It is equal to the work done to stretch the spring, which depends upon the spring constant k (measured in N/m) as well as the distance stretched. When you put the 100 g mass on the spring, describe what happens to the In order to visualize energy, we started off the unit by learning about pie charts, bar graphs, and energy flow diagrams. When the ball collides, the kinetic energy is transformed into other forms of Jul 28, 2023 · This science experiment just feels like fun (I mean, we get to shoot rubber bands!), but it’s such an effective way to teach kids about potential energy and kinetic energy. Hooke’s Law only holds for a range of stresses, a range referred to as the elastic region. The graph below shows the elastic potential energy (blue), kinetic energy (red), and total energy (green), all as a function of position, for a ball oscillating on a spring. This will be done by measuring the position and velocity as a function of time and using the data to construct and examine graphs of kinetic and potential energies of the system. You can select Slow Motion below the track for a more accurate observation. 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 Review the key concepts, equations, and skills for spring potential energy and Hooke's law. Overview and examples of using energy LOL diagrams or energy bar graphs to diagram the transfer of energy in and out of a system and between different energy In many materials, when the stress is small, the stress and strains are linearly proportional to one another. For a constant force, the area is a rectangle. Furthermore, the dart is initially elevated at a height of 1-meter above the ground which accounts for the gravitational potential energy. The particle is midway between the highest and lowest point, so the kinetic energy plus potential energy bar graphs equal the total energy. As the jump happens, watch the changing bar graphs of kinetic energy, elastic potential energy, and gravitational potential energy. Here is an example of the energy pie charts we used to represent the transfer of energy during an action. represents the kinetic energy K and the elastic potential energy U s o f the system when the block i s released from rest a t position x = A (a) Draw shaded bars that represent K and U s o f the system t o complete the energy bar charts shown i n Figure 3 for when the block i s a t positions x = 0 and x = + A 2 From the definition of strain and from the equations of equilibrium we have Hence we can write and therefore the variation in the internal energy density is given by An elastic material is defined as one in which the total internal energy is equal to the potential energy of the internal forces (also called the elastic strain energy). The bar charts depict the form of energy present in the initial and final state and depict how this energy changes (if it does). The energy required to extend the wire from l0 to l is E. The dart is pushed into the gun barrel, thereby compressing the Aug 16, 2022 · Elastic Potential Energy Elastic potential energy is defined as the energy stored within a material (e. The following equipment is needed for each lab group. Apr 25, 2013 · Energy - Elastic Potential Energy The New Jersey Center for Teaching and Learning 2. Figure 2. Observe the total energy bar on the bar graph. Record your observations in Table 3 below. particle hung from a string constitutes a simple pendulum. It integrates text explanations with animations and user-activated problem sets (with answers provided). Contact Elastic for any inquiries or assistance with our line of credit offering. I didn't originally learn to solve energy problems that way, and when I first saw them, I thought it was a silly waste… In this question, like all questions in this mission, you will have to think hard about kinetic energy (K), potential energy (P), and work (W). The particle is at the lowest point of the swing, so the kinetic energy bar graph is the highest and equal to the total energy of the system. Example IB Question An increasing force acts on a metal wire and the wire extends from an initial length l0 to a new length l. Dec 24, 2024 · Learn about elastic potential energy for A Level Physics. In this video, energy bar graphs, also known as LOL diagrams, are shown with a large variety of situations which include different systems for the same scenario, scenarios with and without work Interpreting a one-dimensional potential energy diagram allows you to obtain qualitative, and some quantitative, information about the motion of a particle. The wire then contracts to half its original extension. Observe the energy bar graphs for kinetic energy (KE) and spring elastic potential energy (PE elas ) in the lower left. Draw the ENERGY BAR GRAPH diagrams when the mass is at the identified positions Energies at HIGHEST point (no stretch) Send someone from your cluster to get a question number and work with your table to come to a consensus about the energy pie chart for your question from the homework. These graphs will help you verify whether energy is conserved. An Elastic line of credit gives you the freedom to handle unexpected expenses with confidence. 2 Elastic Strain Energy The strain energy stored in an elastic material upon deformation is calculated below for a number of different geometries and loading conditions. Bar graphs representing the total energy (E), potential energy (U), and kinetic energy (K) of the particle in different positions. For example, the negative of the slope of the potential energy curve, for a particle, equals the one-dimensional component of the conservative force on the particle. Represent change in a system over time as a succession of State Diagrams Represent changes in energy storage modes and energy transfers, using Energy Bar Graphs to display the modes of energy storage present in a system at any given moment Qualitative energy worksheet using bar graphs. This relationship is described by Hooke’s Law: Hooke’s Law – the extension of a spring (or other The pole must also be very elastic in bending as this will allow the vaulter to efficiently transfer his kinetic energy to the pole in the form of elastic potential energy, and this pole energy is then transformed into gravitational potential energy as the pole straightens itself out and the vaulter reaches the top of the vault. The ratio of stress to strain is called the elastic modulus. An elastic body is one in which Hooke’s Law applies and when the applied stress When a situation involves both gravitational and elastic forces, the total potential energy is the sum of the gravitational potential energy and the elastic potential energy: U = Ugrav + Uel. (5 marks) Derive the formula for the elastic potential energy stored by the spring from the graph of force against extension. " —Honors Physics student from 2010 I have to admit, first of all, that I wasn't expecting to love energy bar charts (when I first heard about them). Based on the T-chart, consider the following energy storage accounts for each state: elastic energy, translational kinetic energy, gravitational energy, and thermal energy. What is elastic potential energy and how it is calculated? What does the area under the elastic force vs deformation graph represent? In which kinds of energy, the elastic potential energy can be converted? What does the Law of Energy Conversion say? How we combine the springs? How to find the total spring constant in a certain spring Where on the track is the skater's kinetic energy the greatest? The skater's kinetic energy is Click on Bar Graph, and observe the kinetic energy bar as the skater goes back and forth. 8. 1 that the area under the line on a force-displacement graph indicates the work. Note that the elastic potential energy is always positive. 1 Chapter 7 - Potential energy and energy conservation Learning Goals How to use the concept of gravitational potential energy in problems that involve vertical motion. Energy conservation pools. Sketch graphs of kinetic energy vs. The presence of these two initial forms of energy are shown by the PE g and PE s bars of the bar chart. Look at the graph: From the above graph, it is obvious that elastic force is not constant. Find answers to frequently asked questions about Elastic's Line of Credit services. Kinetic energy-versus-time graphs. time, sketch velocity vs. Since the potential energy comes in two forms - the elastic potential energy stored in The springs of the dart gun are compressed which accounts for the elastic potential energy. In addition to making observations and measurements, they make predictions as to what would Study with Quizlet and memorise flashcards containing terms like gravitational potential energy (GPE), Depends (GPE), Calculating change in GPE and others. 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 kinetic energy, gravitational and elastic potential energies are shown in bar graph form. Draw energy bar graphs that describe the forms of energy present in the following instances. Feb 27, 2025 · Learn about the elastic strain energy formula for your AQA A Level Physics exam. There is a small hot-spot in the lower-right corner of the iFrame. In this question, like all questions in this mission, you will have to think hard about kinetic energy (K), potential energy (P), and work (W). The symbol K is used for kinetic energy, Ug is used for gravitational potential energy, and Us is used for the elastic (spring) potential energy in the bungee cord. . Elastic Behaviour When a Sal graphs elastic potential energy and kinetic energy for a mass on a spring and compares the total energy when with and without dissipative forces (friction). The graph below As the ball falls towards the ground, its gravitational potential energy is transformed into kinetic energy. Elastic potential energy is the energy stored in an elastic body, such as a spring. High school physics. Then mark the times when it has the least elastic potential energy. The work done to stretch the material is also equal to the elastic potential energy stored in the material The amount of work done to stretch a material can be determined by finding the area under the force-extension graph. Students will also be able to explain the Conservation of Mechanical Energy concept using kinetic, elastic potential, and gravitational potential energy of a mass oscillating on a spring. To represent a specific system, the diagram also needs to indicate the total mechanical energy of the system, and this is done with a horizontal line with the correct height on the vertical axis. c. Many materials obey this law of elasticity as long as the load does not exceed the material’s elastic limit. The chart includes separate bars for: - Initial mechanical energy: o KEi = Kinetic energy o Ugi = Gravitational potential energy o Usi = Elastic potential energy (energy stored in a stretched or compressed spring). 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 The conservation of mechanical energy and the relations between kinetic energy and speed, and potential energy and force, enable you to deduce much information about the qualitative behavior of the motion of a particle, as well as some quantitative information, from a graph of its potential energy. You can change the tower height, stiffness and length of the bungee cord, and the jumper’s mass. Get Ready For A Deep Dive Into The World Of Physics! From the graph, you can see that there is a potential energy well, which has some similarities to the potential energy well of the potential energy function of the simple harmonic oscillator discussed in (Figure). displacement graph. Above is an LOL chart, given the name because of the obvious L-O-L the bar graphs and system circle create. For example, the negative of the slope of … 8. Which of the energy bar graphs in the figure most accurately shows the kinetic energy K, gravitational potential energy U grav, and elastic potential energy U el at this instant? (i) (ii) (iii) Post any question and get expert help quickly. The force resists the displacement and has a direction opposite to it, hence the minus sign: this concept is similar to the one we explained at the potential energy calculator: and is analogue to the [elastic potential energy]calc:424). The force excreted to stretch or compress a spring is known as Hooke's law, Fs = -ksx, where Description This guided activity aims to: 1. KEi + PEi + Wext = KEf + PEf In a work-energy bar chart, a bar is used to represent the amount of each term in the above equation. During this process, the spring stretches (or compresses) from 0 to x max. Students take a spring-loaded cart and release it so that it travels up a ramp. The picture to the right (Figure 1) is a bar graph showing the initial values of potential energy U (gravitational potential energy where \ (\mathrm {PE}_ {\mathrm {el}}\) is the elastic potential energy stored in any deformed system that obeys Hooke’s law and has a displacement \ (x\) from equilibrium and a force constant \ (k\). Determine the relationship between the spring force and elongation/compression of the spring 2. Label on your physical diagram positions corresponding to your initial and final positions Sketch the energy bar graph for position A, the energy flow diagram from position A to position B, and the energy bar graph for position B. What is the work done by the wire as it contracts? Springs and Hooke’s Law: A brief overview of springs, Hooke’s Law, and elastic potential energy for algebra-based physics students. time. , Because we are ignoring friction, no thermal energy is generated and the total energy is the mechanical energy, the kinetic energy plus the potential energy: E=K+U. How to find it. Write the energy equation that describes the initial and final energy of your system in the box provided. Feb 14, 2025 · Hooke’s law in physics stated and explained with equations, diagrams, applications, and example problems. Dec 4, 2024 · What is elastic potential energy. Try again with different parameters. Energy bar charts. Study with Quizlet and memorize flashcards containing terms like Energy, The three kinds of non-mechanical energy storage, The math model that relates the structure of a spring to the spring force. Gravitational potential energy is an energy of the earth + object system: UG mgy Elastic potential energy is an energy of the spring + attached objects system: APPLICATIONS Energy bar charts show the energy principle in graphical form. 4: Examples Interpreting a one-dimensional potential energy diagram allows you to obtain qualitative, and some quantitative, information about the motion of a particle. Write a qualitative energy equation that indicates the initial, transferred, and final energy of your system. To evaluate whether your result makes sense, it's useful to use bar graphs showing the initial and final values of kinetic and potential energies. method for keeping track of transformations between kinetic energy and gravitational potential energy, introduced in this chapter, is Credit-debit tables. An energy flow diagram is a simple bar graph that, describe s the relative amounts of energy at any location. Also note that the elastic potential energy is set to zero at the equilibrium position of the spring. The elastic potential energy of the spring pushes the rubber dart out of the pistol. Your goal is to match an appropriate bar chart to the verbal description and to simplify the work-energy equation. Learn Hooke's Law & How To Calculate Energy Stored In Springs. How to use the concept of elastic potential energy in problems that involve a moving day attached to a stretched or compressed spring. If we continued to increase the force the string would deform plastically and the line would begin to curve. Depending on the conditions given in the question, either directly use the formula for elastic potential energy or calculate the change in gravititational potential energy (given air resistance is negligible). Nov 5, 2024 · Discover How Forces Affect Solids & The Role Of Elastic Potential Energy In Energy Storage & Transfer. With an Elastic Line of Credit, you can borrow money when needed. The Elastic line of credit is offered by Republic Bank & Trust Company. Apply today to see whether a personal line of credit from Elastic is right for you. Nov 20, 2021 · 1. Dec 24, 2024 · Elastic potential energy Elastic potential energy is defined as the energy stored within a material (e. The material is then said to obey Hooke’s Law. Then sketch a graph of your elastic potential energy, Us (y) on the center plot. Potential energy-displacement graph for a spring A compressed or extended spring will transfer its stored potential energy into kinetic energy of the mass attached to the spring. Consequently, the sum of the bar heights for the initial condition (initial energy + external work) must equal the sum of the bar heights for the final condition (final energy). The kinetic energy of an object is the energy it possesses due to its motion. Learn about how it works, what it costs, payments and billing. Elastic energy is stored in the stretch When a situation involves both gravitational and elastic forces, the total potential energy is the sum of the gravitational potential energy and the elastic potential energy: U = Ugrav + Uel. Calculate the work done in stretching/compressing a spring 3. Nov 14, 2024 · Elastic Potential Energy Elastic potential energy is defined as The energy stored within a material (e. Then, as the pole straightens, the elastic potential energy is converted to gravitational potential energy and kinetic energy as the vaulter is lifted as high as 6 m above the ground. Use conservation of energy to write an equation describing the situation in part a. Whether you're facing unexpected expenses, or simply want a financial safety net, Elastic can help you navigate your financial needs with ease. a. diver on a spring board jumps on spring board, then dives chemical potential energy in body -> elastic potential energy of bent board -> kinetic energy of diver Note that when mentioning the energy conversion, have to be more specific by stating the On your sketch, label the times when the spring has its greatest elastic potential energy. See how to calculate it from force-extension graphs and how it relates to work done and Hooke's Law. The bar t 2 the mass back on. In the graph shown in (Figure), the x -axis is the height above the ground y and the y -axis is the object’s energy. From the graph we can see that the extension of the spring is directly proportional to the force applied. The more an object is stretched or compressed, the more elastic energy is being stored up. Sketch a graph of your gravitational potential energy, Ug (y) vs your height, y, from y=0 to y=h on the leftmost plot. May 18, 2022 · Kinetic energy is energy in an object because of its motion. Central Challenge In this investigation, students experiment with the concept of the conservation of energy by qualitatively investigating the relationship between elastic potential energy and gravitational potential energy. Our team is ready to help you navigate your financial needs. The graph of the potential energy function could apply to any object under the influence of this conservative force. Dec 4, 2020 · *2. We will deduct the Cash Advance Fee from the amount of the Cash Advance you request, and deliver only the Elastic Cash amount to you. It is equal to the work done to stretch the spring which depends on the spring constant k and the distance stretched. What happens when the stiffness (cons PART B: ON THE BOTTOM, SELECT ENERGY he 3. Apr 3, 2025 · Figure shows an energy bar chart that represents the kinetic energy and the elastic potential energy of the system when the block is released from rest at position. Study with Quizlet and memorize flashcards containing terms like Which is a true statement about elastic potential energy? Select all that apply. Hence, [latex]\text {PE}_ {\text {el}}=\frac {1} {2}kx^2\\ [/latex], where PEel is the elastic potential energy stored in any deformed system that obeys Hooke’s law and has a displacement x from equilibrium and a force constant k. Materials for which Hooke’s law is a useful approximation are known as linear-elastic or “Hookean” materials. It includes bar graphs of kinetic, potential energy due to gravity and potential elastic energy that show how the amount of each change with a person jumping on the trampoline. The strain energy absorbed by the material is equal The elastic potential energy of the spring pushes the rubber dart out of the pistol. It comes from the structure of the materials and their desire to retain a particular shape. The kinetic energy of the ball will continue increasing as the ball gains momentum, until it finally collides with a surface. As the skater is skating back and forth, where does the skater have the most potential energy? Apr 1, 2019 · This is taking the table’s surface as the zero-point for gravitational potential energy and the spring’s natural length as the zero-point for elastic potential energy. Unlike a spring, it is assumed that the spring constant of the bungee cord is zero when compressed. The energy stored is the area under a force/extension graph line. Use conservation of energy to unlock the physics behind some of the coolest videos on YouTube! An energy game created by physics teacher Matthew Blackman at Universe & More. The bar graph would show zero values for elastic and kinetic energy and a high value for gravitational potential energy. If no label is given then provide one. The energy stored in the spring is due to the deformation of the spring, often from stretching and compressing. identify potential and kinetic energy in a situation and draw corresponding energy bar charts, II . g. Check out a few examples and learn its equation and unit. We will charge a 10% Cash Advance fee, for each Cash Advance you request. How are stress and strain applied to Hooke’s law. 6. The bar Sal graphs elastic potential energy and kinetic energy for a mass on a spring and compares the total energy when with and without dissipative forces (friction). 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 You get a spring-loaded toy pistol ready to fire by compressing the spring. 1. The graph below shows the kinetic energy KE and potential energy P Esm of a spring-mass system as a function of the position from equilibrium, y. The potential energy-displacement graph is shown in Figure 4. 10 The potential energy graph for an object in vertical free fall, with various quantities indicated. Get the information you need to make informed decisions about borrowing. The graph shows the variation of force with length for the wire. draw & analyze potential energy functions, and (d) use conservation of energy to relate the total energy at one time to total energy at another Objectives: These graphs will help you verify whether energy is conserved The picture to the right (Figure 1) is a bar graph showing the initial values of potential energy U (gravitational potential energy+elastic potential energy), kinetic energy K, and total energy E = U + K. 2 Equivalence of the Minimum Potential Energy and Prin-ciple of Virtual Work The concept of virtual displacement ui is the backbone of the energy methods in mechanics. Adjust the mass and the spring constant, then hit the RUN button. The Chart That Motion Interactive is shown in the iFrame below. This work is performed by an applied force F app. 11. Through this unit on energy you have seen bar graphs showing different amounts of the forms of energy. As the skater is skating back-and-forth, where does the skater have the most potential energy. 74K subscribers Subscribed Science Advanced Physics Advanced Physics questions and answers 5. The dart is pushed into the gun barrel, thereby compressing the spring. A change in the stretch or compression of an object means the amount of elastic energy stored will decrease. Dec 29, 2020 · NOTE: This graph shows the force applied to a string up to its elastic limit. Discover what you need to know about your line of credit with Elastic. Draw a bar graph to represent the conservation of energy for this situation. Energy in a Mass–Spring System In this experiment, you will examine the kinetic and potential energy of a mass oscillating at the end of a vertical spring. Understand how to analyze a spring force vs. 7. From your graph of height vs. Be certain to properly label all distances, velocities, masses, etc. Sketch the energy bar graph for position A, indicate any energy flow into or out of the system from position A to position B on the System/Flow diagram, and sketch the energy bar graph for position B. a) The dart is pushed into the gun barrel, Show transcribed image text Here’s the best way to solve it. Hookean materials are broadly The conservation of mechanical energy and the relations between kinetic energy and speed, and potential energy and force, enable you to deduce much information about the qualitative behavior of the motion of a particle, as well as some quantitative information, from a graph of its potential energy. Although the ball is moving as it travels, at the initial and final positions it has an instantaneous velocity of 0, so: Sketch the energy bar graph for position A, indicate any energy flow into or out of the system from position A to position B on the System/Flow diagram, and sketch the energy bar graph for position B. Students will study what happens when there is also thermal energy of a mass oscillating on a spring. Learn about the costs associated with a $500 to $4,500 Elastic Line of Credit, including Cash Advance Fees and Carried Balance fees. chemical potential energy in battery -> electrical energy -> heat and light energy of lamp 2. Dragging this hot-spot allows you to change the size of iFrame to whatever dimensions you prefer. It is possible to find the work done in deforming a system in order to find the energy stored. These expressions for stored energy will then be used to solve some elasticity problems using the energy methods mentioned in the previous section. Introduce the concept of elastic potential energy. 9 relation created by Tom Henderson This interactive tutorial from The Physics Classroom collection provides practice in using and understanding energy bar graphs. A ball held in the air has gravitational potential energy. What's it called? and more. It increases at the same rate from 0 to F max. (a) The total energy of the system equals the potential energy and the kinetic energy is zero, which is found at the highest point the particle reaches. This revision note covers calculations of energy stored in stretched materials. time and elastic potential energy vs. Elastic potential energy is stored as a result of deformation of an elastic object, such as the stretching of a spring. 59m is the maximum height of the student above the surface of the trampoline* In this video, an energy calculation is done involving kinetic energy, gravitational potential energy, and elastic Sketch energy bar graphs for this system, showing the elastic potential energy, kinetic energy, and total mechanical energy when the system is (a) at the point where it is released from rest; (b) halfway between that point and the equilibrium position; (c) at the equilibrium position. Strain energy is the potential energy absorbed by the body due to the deformation or strain effect. You should now be able to develop a set of six energy bar graphs which depict the energy states of the system as it proceeds from state A to state F. The elastic potential energy is converted to gravitational potential energy. Oct 26, 2021 · Before starting this lab, students need to be familiar with making energy bar graphs and calculating a system’s gravitational potential energy. It can be used as a store for energy (hence the word 'potential'). With a clear fee structure and a fast application process, you can find out the potential credit limit for your online line of credit in just minutes. Covers kinetic, gravitational, and elastic potential energy in various scenarios. Jan 1, 2023 · The work done by the external force is thus given by a triangular area under the F-x graph. Elastic's line of credit is designed with this in mind, providing a straightforward solution with flexible terms and a clear fee structure. Now observe the potential energy bar on the Bar Graph. ope dpa tmvj pukswc eqtc zgyfwuk ugp nicdeh jhwe ives