potential energy formula spring

Kinetic energy, elastic potential energy, and gravitational potential energy. Create and find flashcards in record time. We have found the work done to stretch the spring from equilibrium to a certain distance, and the work is proportional to the change in elastic potential energy. Where G is a gravitational constant. potential energy, stored energy that depends upon the relative position of various parts of a system. 4. Mass of the object: The more the mass of the object, the more will be the potential energy possessed by it and vice versa. New user? The acceleration due to gravity at the position of the object: The potential energy of an object is directly proportional to the value of the acceleration due to gravity at that position of the object. In the article, "Potential Energy and Energy Conservation", we discuss how potential energy is related to the internal configuration of an object. Gravitational Potential Energy Calculator Enter Mass Enter Height The formula for elastic potential energy of a spring with a constant k is as follows: Potential and Kinetic Energy The potential energy of mechanical systems U is often stored in "springs" x=0 x0 (remember that for a spring F = kx) k x0 x0 M 1 2 U spring = F dx = kx dx = kx0 0 0 2 Mass Spring The kinetic energy of mechanical systems T is due to the motion of the "mass" in the system 1 2 1 2 Ttrans = mx , Trot . The various topics covered here should have given you a good understanding of the definition, formula, and unit of potential energy, as well as its applications. Kinetic energy is the energy of motion, and it is calculated using the mass (m) and velocity. The fundamental idea which we are going to use here is a bit of Hooke's law. So, any object at some position or with a definite configuration has some potential energy. It is also known as stored energy that helps to conduct any work. Be perfectly prepared on time with an individual plan. Near the surface of the Earth, g can be considered constant. Please explain with simple words. The energy stored in our food gives us the energy to do our day-to-day activities. $$ \begin{aligned} F_{avg} &= \frac{1}{2}\left(0\,\mathrm{m} + kx\right) \\ &= \frac{1}{2}kx \end{aligned}$$. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s 2 at the surface of the earth) and h is the height in meters. We make use of elastic potential energy from springs in many things that we do! A spring stores potential energy; the potential energy of the spring is maximized at maximal displacement from its resting state. Potential Energy $(E)$ due to the position or height of the object is its gravitational potential energy that can be calculated by using the formula, $E=m g h$ where $m$ is the mass of the object$h$ is the height of the object$g$ is the acceleration due to gravity. The elastic potential energy stored can be calculated using the equation: elastic potential energy = 0.5 spring constant . PE s = k (x) 2 = (100N/m) (1m) 2 = 50J Report an Error Sign up to read all wikis and quizzes in math, science, and engineering topics. Trampolines bounce due to the stored potential energy in the spring attached to them. The constant $k$is the spring constant that describes the stiffness of the spring. Potential Energy Formula The formula for gravitational potential energy is given below. Have all your study materials in one place. Create beautiful notes faster than ever before. Understanding cardiac pressure-volume curves, Basal metabolic rate and energy expenditure, Physics Question Pack Passage 6 Question 36, Physics Question Pack Passage 19 Question 111, Practice Exam 2 C/P Section Passage 10 Question 52, Practice Exam 2 C/P Section Passage 10 Question 53, Practice Exam 4 C/P Section Passage 10 Question 53. P.E. Definition: Potential Energy is defined as the energy possessed by the body by virtue of its position or configuration in some field. Hooke's law tells us that the force required to keep a spring stretched a distance, $x$, from its natural position is given by $F=kx$, where $k$ is the spring constant that tells us how stiff the spring is. When a spring is stretched/compressed from its equilibrium position by x, its potential energy is give as U= k(x2), Gravitational acceleration: near the surface of the Earth, g can be considered constant. Use the elastic potential energy formula to solve this problem. The potential energy can be found using the formula: U = 1/2kx2 U = 1/2 (7.50 N/m) (0.40 m) 2 U = 0.60 Nm U = 0.60 J The elastic potential energy stored by the spring when it is has been stretched 0.40 m is 0.60 J. Test your knowledge with gamified quizzes. However, it isn't affected by the environment outside of the object or system, such as air or height. What's going on with the rest of the spring at that instant? We also know that the fruit is 10 meters above the ground. Elastic potential energy is Potential energy stored as a result of deformation of an elastic object, such as the stretching of a spring. How is potential energy different from kinetic energy?Ans: Potential energy is the energy possessed by an object due to the virtue of its position whereas kinetic energy is the energy possessed by an object due to the virtue of its motion. For the gravitational force the formula is P.E. {{ nextFTS.remaining.days > 1 ? To calculate the potential energy stored in the spring when it is displaced by a certain amount, the following formula can be used. Gravitational potential energy near the earth surface: PE = mgh. 'months' : 'month' }}, {{ nextFTS.remaining.days }} What is the formula for max kinetic and max potential energy of a spring? Substitute the values in the Potential Energy Formula. The SI unit of energy is the joule, $\mathrm{J}$, and is equivalent to a newton-meter so that $\mathrm{J} = \mathrm{N}\,\mathrm{m}$. Gravitation Potential Energy between two bodies in space: The gravitation force exerted on the two bodies in space is inversely proportional to the square of the distance between them both. We are also optimistic that this article would have helped you gain some insights on the types of potential energy, the factors affecting it as well as its applications in real-life situations. Let $x_1 = 10\,\mathrm{cm}$ and $x_2 = 5\,\mathrm{cm}$. Solution. Prefer watching rather than reading? How is work related to elastic potential energy? A torsion spring is a spring that works by twisting its end along its axis; that is, a flexible elastic object that stores mechanical energy when it is twisted. Since the block is not moving initially, the initial kinetic energy is zero. Please contact your card provider or customer support. The potential energy can be found using the formula: U = 1/2kx 2 Spring is a device that can store potential energy when stressed or compressed. Thus, the potential energy is converted into electrical energy. 2. At the equilibrium position of such a system (where the force applied is 0), the potential energy possessed by the system is zero. k = F x. The minus sign indicates the restoring force is . Potential Energy of a Spring Last Updated : 30 Jun, 2021 Read Discuss Practice Video Courses A spring is used in almost every mechanical aspect of our daily lives, from the shock absorbers of a car to a gas lighter in the kitchen. 5 Less Known Engineering Colleges: Engineering, along with the medical stream, is regarded as one of the first career choices of most Indian parents and children. With gravitational potential energy, we can choose a different zero-point, but for elastic potential energy, it is always where the object is at equilibrium. Elastic potential energy can be found using the formula: U=12kx2 k = spring force constant . Q.4. The Lennard-Jones potential (also termed the LJ potential or 12-6 potential) is an intermolecular pair potential.Out of all the intermolecular potentials, the Lennard-Jones potential is probably the one that has been the most extensively studied.It is considered an archetype model for simple yet realistic intermolecular interactions (e.g. 60cm = 0.6m. What is the formula for elastic potential energy? A spring's potential energy is: P.E=1 2kx Gravitational potential energy spring work Since the spring is stretched to its full extension, its potential energy is at its highest. If you have any questions about the concept of Potential energy or in general about this page, reach us through the comment box below and we will get back to you as soon as possible. P.E.= 1 2kx2 P. E. = 1 2 k x 2 Here, P.E = Spring Potential Energy k= Spring Constant = Spring Displacement Also Read: Kinetic Energy Viscosity Points to Remember Thus, these are the given in the problem: Mass = 0.25 kg. Hooke's Law The elongation produced in an ideal spring is directly proportional to the spring force: F=-kx. Gravitational potential energy: The gravitational potential energy is the energy possessed by an object due to its position with respect to the ground. k = 500 N/m x = 0.5 - 0.2 = 0.3 m x is change in position. It also describes the work done to stretch the spring. Spring Potential Energy. The Potential energy formula is given by: P.E = 1 2 k x 2 Rearranging the equation We get x = 2 P. E K Now, Substituting the values, x = 2 50 200 = 0.5 x = 0.707 meter Therefore displacement will be 0.707 meters. This potential energy of the spring can do work that is given by the formula, \ (E=W=\frac {1} {2} k x^ {2}\) where. The force constant of the object: The potential energy possessed by the object will be higher with a higher force constant of the object and vice versa. Where does $x=0$for the equation that describes the elastic potential energy of a spring? What is the best example of potential energy? This work is stored in the force field, which is said to be stored as potential energy. Substitute the potential energy in (Equation 8.14) and integrate using an integral solver found on a web search: U = 21kx2. Springs are used in medical devices, spring mattresses, and numerous other applications. . A $0.5\,\mathrm{kg}$ block attached to a spring is stretched to $x=10\,\mathrm{cm}$. If the spring has a spring constant of 500 N/m, calculate the total potential energy in the spring. The energy that is stored as elastic potential energy, $U_{el}$, in the spring converts to kinetic energy, $K$, as the block moves. What is potential energy in short answer?Ans: Potential energy is defined as the energy possessed by a body by virtue of its position or state. Best study tips and tricks for your exams. (9.8m/s^2), Displacement of spring: measured from the position of neutral length or relaxed length, Work: the measure of energy transfer that occurs when an object is moved over a distance by an external force, Potential energy: the energy difference between the energy of an object in a given position and its energy at a reference position, {{ notification.creator.name }} The formula for finding the elastic potential energy of a spring is one-half multiplied by the spring constant and the distance squared. In the spring potential energy formula, substitute these values: 12k x 2 = U Calculate the amount of energy. The work done on an object is proportional to the change in elastic potential energy. Problem 2: A stone of mass 4 kg, resting at the edge of the hill having a height of 50 m is about to fall. U=-\dfrac{1}{2}kx^2.\ _\squareU=21kx2. Let's start with the derivation of the above equation. 2) A spring with a spring constant k = 800 N/m has been compressed, and 196 J of potential energy is stored. The stored energy varies depending on the types such as physical . W = Fs W = elastic potential energy, in Joules F = force, in Newtons s = displacement, m Because the force is = spring constant x displacement, then the Elastic potential energy = spring constant x displacement squared. 1,786. A body possesses potential energy due to its position or configuration. Work of an elastic force is called elastic potential energy; work done by the gravitational force is called gravitational potential energy; and work done by the Coulomb force is called electric potential energy. The integral form of this relationship is. This is a recorded trial for students who missed the last live session. . There are various types: A torsion bar is a straight bar of metal or rubber that is subjected to twisting (shear stress . You have to think about what is going on physically with this spring. Potential Energy $(E)$ of a spring is the energy associated with the state of compression or expansion of an elastic spring. If an object falls from one point to another point, the force of gravity will do positive work on the object, and the gravitational potential energy will decrease by the same amount. Gravitational energy is the potential energy associated with gravitational force, as work is required to move objects against gravity. A coiled up spring; An archery bow when the string has been pulled back; A rubber band that has been stressed; A football or rugby ball before it has been kicked; Diving boards; Trampolines; Equation of Elastic Potential Energy. Potential energy is the stored energy in any object or system by virtue of its position or arrangement of parts. Find the energy possessed by an object of mass $10 \,{\rm{kg}}$ when it is at a height of $5 \,{\rm{m}}$ above the ground. We had trouble validating your card. Notice how this turns out quite different from Equation 5 (from the Linear Springs section). It depends on the spring constant 'k' and the distance stretched. Spring Potential Energy Equations Calculator Science - Physics Formulas Solving for spring potential energy. Male and female reproductive organs can be found in the same plant in flowering plants. In some toys, we need to rotate the key placed in them. 'days' : 'day' }} What forms of energy must be considered in a problem where a block attached to a spring is moving on a frictionless incline? Here, the potential energy stored in the water is converted into electrical energy. Everything you need for your studies in one place. Upload unlimited documents and save them online. It is represented by the formula. F = kx. Male gametes are created in the anthers of Types of Autotrophic Nutrition: Students who want to know the kinds of Autotrophic Nutrition must first examine the definition of nutrition to comprehend autotrophic nutrition. Set individual study goals and earn points reaching them. What is the formula for potential energy? How do you find elastic potential energy? where m is the mass of the object, g is the height of the object, g is the gravitational field strength (9.8m/s), and v is the average velocity of the object. For example, we see energy stored in various forms. Sample Questions Ques. W=0xkxdx=k0xxdx=k[x22]0x=12kx2.W=\int_0^x-kx\,dx=-k\int_0^xx\,dx=-k\left[\dfrac{x^2}{2}\right]_0^x=-\dfrac{1}{2}kx^2.W=0xkxdx=k0xxdx=k[2x2]0x=21kx2. 5. Consider a block on an ideal spring sliding across a frictionless surface. When we pull the spring to a displacement of x as shown in the figure, the work done by the spring is : W = 0 xm Fdx = -kx dx = -k (x m) 2 /2. Free and expert-verified textbook solutions. This work done is nothing but the elastic potential energy of the spring. In what direction does the spring force point when a spring is being stretched? The kinetic energy is at the greatest value when the spring is in the equilibrium position, which means that the block's velocity is maximized at that position. Some objects, like rubber bands or springs, have a high elasticity, which means that the object can be stretched or compressed a significant amount and then go back to its original form after deformation. The potential energy concept also underpins the thrilling roller coaster ride that we enjoy. Substitute the potential energy U into (Equation 8.14) and factor out the constants, like m or k. Integrate the function and solve the resulting expression for position, which is now a function of time. The full name of this effect is gravitational potential energy because it relates to the energy which is stored by an object as a result of its vertical position or height. cm. What is the potential energy formula?Ans: The gravitational potential energy can be calculated using the formula, $E=m g h$. {{ nextFTS.remaining.months > 1 ? When we jump on a trampoline, the springs connected at its ends will get stretched thus storing potential energy in it, which is released to achieve the desired bounce. The spring constant is $k=7.0\,\frac{\mathrm{N}}{\mathrm{m}}$and the surface is frictionless. Let's start with the proof. The elasticity of an object is how much it can be stretched before going back to its original form. Q.2 A spring with constant ${10^4}\,{\rm{N}}\,{{\rm{m}}^{ 1}}$ is stretched by $0.5\,{\rm{cm}}.$ Calculate the work done in stretching it.Sol: Given that, The spring constant is $k = {10 ^4}\,{ \rm{N}}\,{{ \rm{m}}^{ 1}}$The spring is stretched by a distance $x=0.5 \mathrm{~cm}=5 \times 10^{-3} \mathrm{~m}$ The work done in stretching the spring is $W=\frac{1}{2} k x^{2}=\frac{1}{2} \times 10^{4} \times\left(5 \times 10^{-3}\right)^{2}=\frac{1}{2} \times 10^{4} \times 25 \times 10^{-6}=0.125 \mathrm{~J}$Thus, the work done on the spring is $0.125 \mathrm{~J}$. Total work done in stretching the spring from the interval x=0x=0x=0 to x=xx=xx=x is obtained by integrating the expression: dW=0xFdx.\int dW=\int_0^xF\,dx.dW=0xFdx. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. In this article, we will discuss potential energy in Physics and its types. While using a bow, the bows string is stretched to provide sufficient energy to the arrow aimed at a point. The work done by the pulling force F p is in positive as it has . So, the potential energy possessed by an object is path-independent. Starts Today, By clicking Sign up, I agree to Jack Westin's. The equation gives us: $$ \begin{aligned} U_{el} &= \frac{1}{2}kx^2\\ &= \frac{1}{2}\left(7.0\,\frac{\mathrm{N}}{\mathrm{m}}\right) \left(0.10\,\mathrm{m}\right) \\ &= 0.035\mathrm{J} \end{aligned}$$. Solution: Given: Potential energy P.E = 40 J, Potential Energy is of two types in mechanics which are discussed in detail below: 1. What are some examples of using elastic potential energy that we see during our day? In the figure, x is the displacement from the equilibrium position. Potential energy is energy that is stored - or conserved - in an object or substance. Q.3. Solution: Step 1: Identify and write down the values. By registering you get free access to our website and app (available on desktop AND mobile) which will help you to super-charge your learning process. F = k x The spring constant, k, is used here. We hope you were able to get some assistance in comprehending the concept of potential energy. Height = 10 m. Potential Energy = unknown. When it is extended to a displacement X, the ends are stationary; hence the kinetic energy is zero. At 1 m above the ground it's Potential Energy is PE = m g h PE = 0.1 kg 9.8 m/s 2 1 m PE = 0.98 kg m 2 /s 2 Ignoring air resistance (which is small for this little drop anyway) that PE gets converted into KE: KE = m v 2 Swap sides and rearrange: m v 2 = KE v 2 = 2 KE / m v = ( 2 KE / m ) Now put PE into KE and we get: Find the elastic potential energy of a block compressing a spring a distance $x=12\,\mathrm{cm}$. Substitute in the . We are not permitting internet traffic to Byjus website from countries within European Union at this time. Consuming and utilising food is the process of nutrition. Then, the work done to stretch the spring is. Where as: k= Spring Constant (Spring Rate) F = Force. In the raised position it is capable of doing more work. Identify your study strength and weaknesses. The elasticity of an object is part of its internal configuration that affects the energy of a system. Question: Determine the value of the spring constant of this spring. Here, the path taken by the object to reach the height does not make any difference to the potential energy gained by the object rather it only depends on the height of the object with respect to the ground. 'days' : 'day' }}, {{ nextFTS.remaining.months }} Because the mass is elevated the least amount above earth, the potential energy owing to gravity is at a minimum. PE = 0.5k2 where k has the units NmRad-1 and is in the displacement in Radians. Springs are a good example of an elastic object that has elastic potential energy when stretched or compressed. If the block is released, what is its velocity when it reaches $x=0.30\,\mathrm{m}$? F = 1/2 ks k = spring constant, Newtons/m So W = (1/2 ks)s KE = mv. Potential Energy: An object can store energy as a result of its position. The energy stored in such a case is the potential energy due to the waters position or height. The flower is the sexual reproduction organ. How do you calculate kinetic and potential energy? Potential Energy \ ( (E)\) of a spring is the energy associated with the state of compression or expansion of an elastic spring. Definition: The equation for potential energy of a spring is. According to Hooke's law, the force required to stretch the spring will be directly proportional to the . When an object is stretched or compressed, it stores elastic potential energy which can be used later. What does the constant $k$ represent in the equation $U=\frac{1}{2}kx^2$? Answer: The spring has been stretched x = 0.40 m from equilibrium. Create the most beautiful study materials using our templates. PE = mgh Where, PE is the potential energy of the object in Joules, J m is the mass of the object in kg g is the acceleration due to gravity in ms -2 h is the height of the object with respect to the reference point in m. Example Of Potential Energy PE = 38.99 J. Take ${\rm{g}} = 10 \,{\rm{m}}\,{{\rm{s}}^{ 2}}.$Sol: Given that, The mass of the object is $m = 10\,{\rm{kg}}$ The height of the object is $h = 5\,{\rm{m}}$The acceleration due to gravity is $g = 10\,{\rm{m}}\,{{\rm{s}}^{ 2}}$ The potential energy possessed by the object is $E = mgh = 10 \times 10 \times 5 = 500\;\,{\rm{J}}$Thus, the potential energy of the object is $500\,{\rm{J}}$. E e = 250 (0.014) 2 = 0.0245 J. We do positive work on the spring by stretching or compressing it while the spring does negative work on us. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s 2 at the surface of the earth) and h is the height in meters. Thus, the potential energy is equal to the total external work done on the system. What is the elastic potential energy? The two equations that describe the potential energy (PE) and kinetic energy (KE) of an object are: PE = mgh. What gave the rock motion? Formula of Potential Energy of A Spring The potential energy of a spring is given by, P.E = k x2 Where, k is the spring constant x is the spring displacement Solved Examples Example 1: Determine the potential energy of a spring whose spring constant is 200 N/m and the displacement is 0.8 m. Solution: Given parameters are k = 200 N/m x = 0.8 m Step 2: Place the values in the formula of potential energy. Equation for Spring Potential Energy Spring potential energy PE spring is calculated using the equation: PE_ {spring} = \frac {1} {2}kx^2 P E spring = 21kx2 The result is a value in joules (J), because spring potential is a form of energy. Elastic Potential Energy Elastic potential energy is Potential energy stored as a result of deformation of an elastic object, such as the stretching of a spring. Sign up to highlight and take notes. What is the formula of potential energy? F=G* (m 1 m 2 )/r 2. The fundamental idea which we are going to use here is a bit of Hooke's law. {{ nextFTS.remaining.months > 1 ? Calculate the force constant of the spring. The displacement of spring x is usually measured from the position of neutral length or relaxed length. Determine the value of the spring constant of this spring. The energy stored in a battery provides electrical energy to run the devices connected to it or light a bulb connected in the circuit. U = 1 2 k x 2 where, U is the elastic potential energy of the system E e = ke 2. Elastic potential energy = force x distance of displacement. If the external force is removed the force field acts on the body to perform the work as it moves the body back to its initial position, reducing the stretch of the spring or causing the body to fall. Example 1 A compressed spring has the potential energy of 20 J and its spring constant is 200 N/m. Calculate the displacement of the spring. Suppose a spring is compressed or extended by a distance x. energy that is stored in an elastic object, like a rubber band or a spring, and can be used later. So for an elastic object, we find the formula for the elastic potential energy by considering the work the elastic object can do once compressed or stretched. You find the change in elastic potential energy of a system by finding the work done on elastic objects in the system. This equation holds true for all forms of oscillatory motion. Take the spring constant to be $k=10.0\,\frac{\mathrm{N}}{\mathrm{m}}. In this article, we will define elastic potential energy and discuss the formula for elastic potential energy of a spring. Due to high demand and limited spots there is a waiting list. You're given the total energy stored in the spring. Then work done in stretching the spring through a distance dxdxdx is dW=Fdx,dW=Fdx,dW=Fdx, where FFF is the force applied to stretch the spring. Create flashcards in notes completely automatically. The total mechanical energy is constant at any position, so the sum of the initial elastic potential energy and the initial kinetic energy is equivalent to their sum when \(x=5\,\mathrm{cm}$. Spring Potential Energy Astrophysics Absolute Magnitude Astronomical Objects Astronomical Telescopes Black Body Radiation Classification by Luminosity Classification of Stars Cosmology Doppler Effect Exoplanet Detection Hertzsprung-Russell Diagrams Hubble's Law Large Diameter Telescopes Quasars Radio Telescopes Reflecting Telescopes The spring force pulls a spring back to its equilibrium position, StudySmarter Originals. Please explain with simple words. Its 100% free. Step 5: Round the answer to 2 significant figures. Even when it is at rest, it is exerting pressure. Spring force is said to be a conservative force, because it only depends on beginning and ending locations. Some of the applications of the potential energy in our day-to-day life are listed below. m = mass of the object (measured in kg), In order to compute the potential energy stored, we need both the spring constant (100N/m) and the displacement from resting (1m). Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere. 2. The equation is PEspring = 0.5 k x2 where k = spring constant x = amount of compression (relative to equilibrium position) For the gravitational force the formula is P.E. The equation for spring potential energy is very similar, and it involves the same two quantities. No tracking or performance measurement cookies were served with this page. When restoring force does work, the system loses potential energy. Meaning the energy needed to compress or extend a spring is equal to the amount of compression distance or extension distance of a spring. Here k k is called the spring constant. For example, push/pull doors store potential energy in the form of a spring coil. Spark, {{ nextFTS.remaining.months }} This potential energy of the spring can do work that is given by the formula, $E=W=\frac{1}{2} k x^{2}$, $W$ is the work done $k$ is the constant of the spring and is called spring constant or force constant $x$ is the stretch or compression caused in the spring, Potential Energy is measured in terms of the capacity to do work, its unit will be the same as that of work. The potential energy V (x) of the spring is considered to be zero when the spring is at the equilibrium position. A $1.0\,\mathrm{kg}$ block attached to a spring is stretched to $x=0.50\,\mathrm{m}$. Potential energy (gravitational energy, spring energy, etc) is the energy difference between the energy of an object in a given position and its energy at a reference position. The elastic potential energy is maximized when the spring is at the highest stretched or compressed position, and it is zero when $x=0\,\mathrm{m}$ at the equilibrium position. The formula for potential energy depends on the force acting on the two objects. In biology, flowering plants are known by the name angiosperms. The equation for the potential energy stored in a torsion spring is similar to that for a linear spring. Meaning the energy needed to compress or extend a spring is equal to the amount of compression distance or extension distance of a spring. That energy is called elastic potential energy and is equal to the force, F, times the distance, s: W = Fs The spring pulls back with force $F_s$ of the same magnitude in a direction opposite to that of the applied force. $$ \begin{aligned} W &= F_{avg}x \\ &= \left(\frac{1}{2}kx\right)x \\ &= \frac{1}{2}kx^2 \end{aligned}$$. Spring-mass potential energy equation For a spring, potential energy is calculated based on Hooke's Law, where the force is proportional to the length of stretch or compression (x) and the spring constant (k): F = kx. It will be U = 0.5 x 80 x 0.152 = 0.9 J in our example. If a force acting on an object is a function of position only, it is said to be a conservative force, and it can be represented by a potential energy function which for a one-dimensional case satisfies the derivative condition. Before we can calculate anything, we need to find the extension of the spring. Potential energy is that energy which is stored in an object. A spring has more potential energy when it is compressed or stretched. 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