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formula for joules of work

A Watt is the amount of energy (in Joules) that an electrical device (such as a light) is burning per second that its running. The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. energy, in physics, the capacity for doing work. The work function is the metal surface's threshold energy for ejecting electrons, which is commonly expressed in Joules. To find out how much energy a 60W light bulb consumes in 120 seconds, simply multiply (60 watts) x (120 seconds) = 7200 Joules. While carbon dioxide gas is Turbines produce noise and alter visual aesthetics. At room temperature, it will go from a solid to a gas directly. Please make note that work is not only done by displacing an object but also due to compression and elongation of the system as in the case of spring. So, the SI unit of work done is \({\rm{N}}\,{\rm{m}}\) which is given a separate name called joule \(\left( {\rm{J}} \right)\) in the honour of the British scientist James Prescott Joule. This cookie is set by GDPR Cookie Consent plugin. Work can be either positive or negative. Ans. This cookie is set by GDPR Cookie Consent plugin. Joule is the SI unit of work or energy. Mathematically, the concept of work done Wequals the force f times the distance (d), that isW = f. d and if theforce is exerted at an angle to the displacement, then work done is calculated as W = f . One joule is equal to the work done by a force of one newton to move an object one meter in the direction of the force. Dry ice is the name for carbon dioxide in its solid state. Mathematically, the concept of work done W equals the force f times the distance (d), that is W = f. d and if the force is exerted at an angle to the displacement, then work done is calculated as W = f . Distance : d = W/F. One joule equals the amount of work that is done Work done by Gravity when something is thrown vertically upward. The use of the kilowatt-hour is more common: 1 kWh = 3600 kWs = 3.6 MJ. Therefore, the formula of mechanical energy will be: Mechanical Energy = Kinetic Energy + Potential Energy. It was there that he first had the idea to create a resource for physics enthusiasts of all levels to learn about and discuss the latest developments in the field. The dimensional formula of Joule is given by. The joule-second (symbol Js or J s) is the unit of action and of angular momentum in the International System of Units (SI) equal to the product of an SI derived unit, the joule (J), and an SI base unit, the second (s). 1 kilowatt is a thousand Watts. \[W = \overrightarrow{F} . After completing his degree, George worked as a postdoctoral researcher at CERN, the world's largest particle physics laboratory. Wind farms have different impacts on the environment compared to conventional power plants, but similar concerns exist over both the noise produced by We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. Distance and displacement are the two important terms used in Physics to describe the length between two points. Necessary cookies are absolutely essential for the website to function properly. efficiency = useful energy transferredtotal work done 100 %. W = Fd(1) W = (12 000 N)(1000 m) W = 12 000 000 Nm. And we end up Firearm muzzle velocities range from approximately 120 m/s (390 ft/s) to 370 m/s (1,200 ft/s) in black powder muskets, to more than 1,200 m/s (3,900 ft/s) in modern rifles with Summary. (1), And, Force = Mass acceleration = M1 [M0L T-2], Thedimensions of force = M1L1T-2. The SI unit of work is joules. This cookie is set by GDPR Cookie Consent plugin. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. Work is the dot product of the two vectors: force and displacement. Here, the value of angle lies in the range, 0 < 90. How do you find the acceleration of a system? where KE is kinetic energy in joules, m is mass in kilograms and v is velocity in meters per NCERT Solutions Class 12 Business Studies, NCERT Solutions Class 12 Accountancy Part 1, NCERT Solutions Class 12 Accountancy Part 2, NCERT Solutions Class 11 Business Studies, NCERT Solutions for Class 10 Social Science, NCERT Solutions for Class 10 Maths Chapter 1, NCERT Solutions for Class 10 Maths Chapter 2, NCERT Solutions for Class 10 Maths Chapter 3, NCERT Solutions for Class 10 Maths Chapter 4, NCERT Solutions for Class 10 Maths Chapter 5, NCERT Solutions for Class 10 Maths Chapter 6, NCERT Solutions for Class 10 Maths Chapter 7, NCERT Solutions for Class 10 Maths Chapter 8, NCERT Solutions for Class 10 Maths Chapter 9, NCERT Solutions for Class 10 Maths Chapter 10, NCERT Solutions for Class 10 Maths Chapter 11, NCERT Solutions for Class 10 Maths Chapter 12, NCERT Solutions for Class 10 Maths Chapter 13, NCERT Solutions for Class 10 Maths Chapter 14, NCERT Solutions for Class 10 Maths Chapter 15, NCERT Solutions for Class 10 Science Chapter 1, NCERT Solutions for Class 10 Science Chapter 2, NCERT Solutions for Class 10 Science Chapter 3, NCERT Solutions for Class 10 Science Chapter 4, NCERT Solutions for Class 10 Science Chapter 5, NCERT Solutions for Class 10 Science Chapter 6, NCERT Solutions for Class 10 Science Chapter 7, NCERT Solutions for Class 10 Science Chapter 8, NCERT Solutions for Class 10 Science Chapter 9, NCERT Solutions for Class 10 Science Chapter 10, NCERT Solutions for Class 10 Science Chapter 11, NCERT Solutions for Class 10 Science Chapter 12, NCERT Solutions for Class 10 Science Chapter 13, NCERT Solutions for Class 10 Science Chapter 14, NCERT Solutions for Class 10 Science Chapter 15, NCERT Solutions for Class 10 Science Chapter 16, NCERT Solutions For Class 9 Social Science, NCERT Solutions For Class 9 Maths Chapter 1, NCERT Solutions For Class 9 Maths Chapter 2, NCERT Solutions For Class 9 Maths Chapter 3, NCERT Solutions For Class 9 Maths Chapter 4, NCERT Solutions For Class 9 Maths Chapter 5, NCERT Solutions For Class 9 Maths Chapter 6, NCERT Solutions For Class 9 Maths Chapter 7, NCERT Solutions For Class 9 Maths Chapter 8, NCERT Solutions For Class 9 Maths Chapter 9, NCERT Solutions For Class 9 Maths Chapter 10, NCERT Solutions For Class 9 Maths Chapter 11, NCERT Solutions For Class 9 Maths Chapter 12, NCERT Solutions For Class 9 Maths Chapter 13, NCERT Solutions For Class 9 Maths Chapter 14, NCERT Solutions For Class 9 Maths Chapter 15, NCERT Solutions for Class 9 Science Chapter 1, NCERT Solutions for Class 9 Science Chapter 2, NCERT Solutions for Class 9 Science Chapter 3, NCERT Solutions for Class 9 Science Chapter 4, NCERT Solutions for Class 9 Science Chapter 5, NCERT Solutions for Class 9 Science Chapter 6, NCERT Solutions for Class 9 Science Chapter 7, NCERT Solutions for Class 9 Science Chapter 8, NCERT Solutions for Class 9 Science Chapter 9, NCERT Solutions for Class 9 Science Chapter 10, NCERT Solutions for Class 9 Science Chapter 11, NCERT Solutions for Class 9 Science Chapter 12, NCERT Solutions for Class 9 Science Chapter 13, NCERT Solutions for Class 9 Science Chapter 14, NCERT Solutions for Class 9 Science Chapter 15, NCERT Solutions for Class 8 Social Science, NCERT Solutions for Class 7 Social Science, NCERT Solutions For Class 6 Social Science, CBSE Previous Year Question Papers Class 10, CBSE Previous Year Question Papers Class 12, JEE Advanced Previous Year Question Papers, JEE Main Chapter-wise Questions and Solutions, JEE Advanced Chapter-wise Questions and Solutions, Dimensions of Gravitational Potential Energy, JEE Main 2022 Question Papers with Answers, JEE Advanced 2022 Question Paper with Answers. George Jackson is the founder and lead contributor of Physics Network, a popular blog dedicated to exploring the fascinating world of physics. The cookie is used to store the user consent for the cookies in the category "Performance". So a 60W bulb is burning 60 Joules of energy every second you have it turned on. Work can be calculated with the equation: Work = Force Distance. After completing his degree, George worked as a postdoctoral researcher at CERN, the world's largest particle physics laboratory. If we analyse the formula of Work that is. Work formula physics. But opting out of some of these cookies may affect your browsing experience. Electrical energy is the product of power multiplied by the length of time it was consumed. While carbon dioxide gas is Turbines produce noise and alter visual aesthetics. Use our free online calculator to solve challenging questions. = Angle between the Joule is the SI unit of work done. One joule is defined as the amount of energy exerted when a force of one newton is applied over a displacement of one meter. The potential energy of an apple is 4.5 joules. Here, the value of angle lies in the range, 90 < 180. 1 Joule is amount of work done when a force of 1 Newton displaces a body through a distance of 1m in the direction of the force applied. How do you find the acceleration of a system? Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. These cookies track visitors across websites and collect information to provide customized ads. A 200-joule charge jolts through the body in a thousandth of a second. A 200-joule charge jolts through the body in a thousandth of a second. It is ultimately defined in terms of the meter, kilogram, and second. Watts are defined as 1 Watt = 1 Joule per second (1W = 1 J/s) which means that 1 kW = 1000 J/s. Some of the most common units of work are as follows: Sometimes units like BTU(British thermal unit), Calorie and Therm are also used to measure work done. Q3. The cookie is used to store the user consent for the cookies in the category "Analytics". While the watt-second is equivalent to the joule in both units and meaning, there are some contexts in which the term watt-second is used instead of joule, such as in the rating of photographic electronic flash units. d cos . This is the basic energy unit of the metric system, or in a later more comprehensive formulation, the International System of Units (SI). The SI unit for work is the joule (J), or Newton meter (N m). Joules = watts x secondsJoules = amps x ohms x secondsJoules = x mass x (meters/seconds)Joules = newtons x meters Thus work is a scalar quantity. Thus, the relation between work and energy is direct i.e., the difference in the kinetic energy of an object is work done by an object. D = Magnitude of displacement. The magnitude of the force applied, F = 700 N. The total distance travelled by the bus \[(\triangle K)\] = 20 meters. Example 3: Calculatethe amount of work done by the force in moving the object through a distance of 7mif an object is horizontally dragged across the surface by a 150N force acting parallel to the surface. In general, for work to occur, a force has to exert on an object causing it to move. The joule-second is a unit of action or of angular momentum. We also use third-party cookies that help us analyze and understand how you use this website. Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. Thats like a basketball being dropped from a 15-story building. 1 Watt is the power from a current of 1 Ampere flowing through 1 Volt. Work Formula. One newton equals a force that produces an acceleration of one meter per second (s) per second on a one kilogram (kg) mass. The SI unit of work is Joule. The term joule is defined as the work required to exert a force of one newton through a displacement of one meter. By clicking Accept, you consent to the use of ALL the cookies. What is thermal energy in physics simple words? It is ultimately defined in terms of the meter, kilogram, and second. Necessary cookies are absolutely essential for the website to function properly. Work is a scalar quantity as it has only magnitude and no direction. These cookies ensure basic functionalities and security features of the website, anonymously. Work is said to be negative work when both displacement and force are in the opposite direction. Find the square of the velocity of the object. Therefore, Joule is dimensionally represented as [M1 L2 T-2]. He received his Ph.D. in physics from the University of California, Berkeley, where he conducted research on particle physics and cosmology. Do NOT follow this link or you will be banned from the site! Kinetic energy is directly proportional to the mass of the object and to the square of its velocity: K.E. What is the fluid speed in a fire hose with a 9.00 cm diameter carrying 80.0 l of water per second? We also use third-party cookies that help us analyze and understand how you use this website. As a heating technology, Joule heating has a coefficient of performance of 1.0, meaning that every joule of electrical energy supplied produces one joule of heat. So the displacement of the bag in the direction of the force (weight) is zero. . One Joule is 1 Newton Metre, ie the work done or energy transfered to an object when a one Newton force acts on it over one metre. We clearly know that work is defined as the product of Force and Displacement, here we have, Dimensional Formula of Force = \([M^1L^1T^{-2}]\), Also, Dimensional Formula for Displacement = \([M^0L^1T^0]\), Work = \([M^1L^1T^{-2}] \times [M^0L^1T^0]\). Help the boy in calculating the work done by him in the given period. As the value of increases the value of cos decreases. This cookie is set by GDPR Cookie Consent plugin. Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features. One joule equals the work done (or energy expended) by a force of one newton (N) acting over a distance of one meter (m). (3). The formula for work is defined asthe formula tocalculate the work done in moving an object. What is the biggest problem with wind turbines? Generally, all forms of energy are measured in terms of joules in the SI system. What is velocity of bullet in the barrel? An amount of work takes the same amount of energy to do it, so energy is also measured in joules. 1 Joule of work done can be defined as when the force of 1 Newton displaces the object by 1 metre and both the entities should be in the same direction, then the work done for the accomplishment of the task is 1 Joule. 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Lets say the direction between the force and displacement vector be , then the cosine of that angle will give you the work done. These cookies will be stored in your browser only with your consent. As every engineer knows, energy calculation is straightforward. Hence, the angle between displacement and force is = 0. Put your understanding of this concept to test by answering a few MCQs. Work formulas given here will help you to solve problems based on work in Physics. This cookie is set by GDPR Cookie Consent plugin. W = Fd cos0. The S.I. Transformer Formula - Efficiency, Turn Ratio, Step Up and Step Down, Radioactive Decay Formula - Meaning, Equation, Half-Life and FAQs, Electrical Formulas - Explanation, Solved Examples and FAQs, Heat Load Formula - Meaning, Calculation, Solved Examples and FAQs, Photon Energy Formula - Equation, Graph, Applications and FAQs, Cylindrical Capacitor Formula - Definition. In Physics, work is energy transferred to or from an object through the application of forces along with a displacement. The work done is measured in joules, named after English physicist James Prescott Joule (18181889). F = Vector of force. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. Now, from the equation of motion in Kinematics, we obtained that, \(v^2 u^2 = 2aD\), where a = Acceleration & D = Displacement. The product is the kinetic energy of the object. Work (Joule)=F D = [M1L1T-2] [L1]= [M1L2T-2]. Dry ice is the name for carbon dioxide in its solid state. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. A Watt is the amount of energy (in Joules) that an electrical device (such as a light) is burning per second that its running. The formula for work done can be expressed mathematically as the dot product of force and displacement as, Work = Force x Displacement. Work is also calculated using the formula W = F.d.cos , where is the angle . Solution: Also, the weight of the bag will be acting in the vertical direction and its motion is in the horizontal direction. Largest unit of energy: The largest unit of energy is kilowatt-hour (kWh). This cookie is set by GDPR Cookie Consent plugin. Joule is the unit of work done in case of electric current, and coulomb is the unit of charge. The explanation of the work formula will cover the concepts of work done by an object along with the formula of work done, and work formula Physics. If the displacement in the direction of force is zero then the work done becomes zero. According to Newtons second law of motion, the acceleration of an object equals the net force acting on it divided by its mass, or a = F m . This cookie is set by GDPR Cookie Consent plugin. It can also be defined as the heat energy dissipated by a current of one ampere passing through a one Ohm resistor for one second Joules to Newton-meters formula Select the correct answer and click on the Finish buttonCheck your score and answers at the end of the quiz, Visit BYJUS for all JEE related queries and study materials. After completing his degree, George worked as a postdoctoral researcher at CERN, the world's largest particle physics laboratory. > 90), then the component is said to be parallel in the direction of displacement but indicates in the opposite direction and force is opposing the motion. This cookie is set by GDPR Cookie Consent plugin. Wind farms have different impacts on the environment compared to conventional power plants, but similar concerns exist over both the noise produced by We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. It does not store any personal data. and CGS unit of work, which can be expressed mathematically as. The CGS unit of work is erg which can be expressed as, Dyne centimetre or Dyne Cm. If you need to convert any number from joules to newtons, all you have to do is multiply it by 1. Ans. When he's not busy exploring the mysteries of the universe, George enjoys hiking and spending time with his family. The formula for work is used to calculate the work. if the value of is greater than 90 (> 90), then the component is said to be parallel in the direction of displacement but indicates in the opposite direction and force is opposing the motion. The cookie is used to store the user consent for the cookies in the category "Analytics". At room temperature, it will go from a solid to a gas directly. Test Your Knowledge On Dimensions Of Joule! The force and displacement vector are perpendicular to each other, that means, = 90 and Cos 90 will come to be 0. Basic Units. He received his Ph.D. in physics from the University of California, Berkeley, where he conducted research on particle physics and cosmology. = is the angle between the vectors: force and displacement Multiply that value by the cost per kWh, and you have the total energy cost. It is a scalar quantity involving the product of two vector quantities that are force and displacement and the product of two vectors results in a scaler. What is the fluid speed in a fire hose with a 9.00 cm diameter carrying 80.0 l of water per second? Multiply this square by the mass of the object. Distance is defined as the length of the actual path between two points whereas displacement is the length of the shortest distance between two points. W = Work done F = Magnitude of the force applied d = Magnitude of the displacement in the direction of the force. This amount of energy transferred by the force to move an object is called work or work done. Both the terms, distance and displacement, have some differences. On substituting equation (2) and (3) in equation (1) we get, Work (Joule)= F D = [M1 L1 T-2] [L1] = [M1 L2 T-2]. With Cuemath, find solutions in simple and easy steps. One joule is equal to the work done by a force of one newton to move an object one meter in the direction of the force. Big Q represents the source charge which creates the electric field. The formula for the Potential energy of an object is P.E = mgh. Analytical cookies are used to understand how visitors interact with the website. work done = force distance moved in direction of force. Energy is the capacity to do some physical activities or work, such as running, jumping, etc., while power is defined as the rate at which the energy is transferred, or the work is completed. And we divide that by Pi times 9.00 centimeters written as meters so centi is prefix meaning ten times minus two and we square that diameter. We found that work is dependent on the angle between the force vector and displacement vector. SI unit of work is Joule (J). In other words, the work formula is the product of force and displacement. Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features. m). In equation form: work (joules) = force (newtons) x distance (meters), One joule is defined as the amount of work done when a force of one newton This cookie is set by GDPR Cookie Consent plugin. The SI unit of energy is joules (J). . The SI unit of force is the newton, symbol N. The base units relevant to force are: The metre, unit of length symbol m. The kilogram, unit of mass symbol kg. It was there that he first had the idea to create a resource for physics enthusiasts of all levels to learn about and discuss the latest developments in the field. Do NOT follow this link or you will be banned from the site! Heat flow, or the rate at which heat is transferred between systems, has the same units as power: energy per unit time (J/s). Joule is the SI unit of work or energy. Do NOT follow this link or you will be banned from the site! These cookies track visitors across websites and collect information to provide customized ads. One joule is defined as the amount of work done when a force of one newton acts on an object in the direction of its motion through a distance of one metre. Little q represents the test charge which is used to measure the strength of the electric field at a given location surrounding the source charge. It should be noted that F Cos is the magnitude of the component of \[\overrightarrow{F}\] in the direction of \[\triangle \overrightarrow{k}\]. And we end up Firearm muzzle velocities range from approximately 120 m/s (390 ft/s) to 370 m/s (1,200 ft/s) in black powder muskets, to more than 1,200 m/s (3,900 ft/s) in modern rifles with Summary. 1. Therefore, joule per meter is equal to newton. Sign In, Create Your Free Account to Continue Reading, Copyright 2014-2021 Testbook Edu Solutions Pvt. The unit of electrical energy is the kilowatt-hour (kWh), found by multiplying the power use (in kilowatts, kW) by the number of hours during which the power is consumed. The formula for the energy of motion is: KE=0.5\times m\times v^2 K E = 0.5m v2. George has always been passionate about physics and its ability to explain the fundamental workings of the universe. 1 Joule (J) is the MKS unit of energy, equal to the force of one Newton acting through one meter. Work formula has numerous applications, such as to compute work done, force, or displacement in any problem. The cookies is used to store the user consent for the cookies in the category "Necessary". One newton equals a force that produces an Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. In thermodynamics, however, work has a very specific meaning: it is the energy it takes to move an object against a force. One joule equals the amount of work that is done when 1 N of force moves an object over a distance of 1 m. To calculate Joules, multiply the mass by the velocity square, then divide the result by 2. These cookies will be stored in your browser only with your consent. The cookie is used to store the user consent for the cookies in the category "Performance". So, 1 joule per coulomb = 1 volt = 1 V. Joules Law states that H (Heat) = I (Current) x V (Voltage) x T (Time the current is allowed to flow). Multiply watts by seconds to get joules. So, the concept of work provides us with an estimation of the amount of energy needed to get any work done according to which it helps us in designing and engineering of the machinery and deployment of labour. What does alternating current mean in physics? Performance cookies are used to understand and analyze the key performance indexes of the website which helps in delivering a better user experience for the visitors. Another unit is the calorie (cal), which is defined as the heat required to raise the temperature of 1 g of pure water by 1C at 1 atm pressure. The applied force and the distance covered by the bus are in the same direction. W = FdCos. Consider a block placed on a frictionless horizontal floor acted upon by a constant force F due to which this block movesthrough a distance d in a straight line in the direction of the force. Dry ice is the name for carbon dioxide in its solid state. Therefore, the dimensional formula of Joule is the same as that of the work done. . Joule Examples One joule is the kinetic energy of a tennis ball moving 6 meter per second. Named in honour of the English physicist James Prescott Joule, it equals 107 ergs, or approximately 0.7377 foot-pounds. Solved Example and FAQs, In Physics, work is energy transferred to or from an object through the application of forces along with a displacement. F cos is Thus, work done also depends upon these entities as discussed below: The relationship between the work and force is directly proportional implying that the higher the force will generate higher work. Work done on the system, derived from the change in kinetic energy of the system, That is, \(W = K = K_{final} K_{initial}\) (1), We have, \(K_{final} = \frac{1}{2}mv^2\), where, v is the final velocity of the system, Also, \(K_{initial} = \frac{1}{2}mu^2\), where, u is the initial velocity of the system. The joule is the unit of energy in the International System of Units. For example, if a an object with a mass of 10 kg (m = 10 kg) is moving at a velocity of 5 meters per second (v = 5 m/s), the kinetic energy is equal to 125 Joules, or (1/2 * 10 kg) * 5 m/s2. To calculate Joules, multiply the mass by the velocity square, then divide the result by 2. joule, unit of work or energy in the International System of Units (SI); it is equal to the work done by a force of one newton acting through one metre. The SI unit of energy is same as that of work, which is joule (J). This gives rise to the three cases for zero work: From the formula of work, there are three entities, namely force, displacement and angle between force and displacement. Notably, heat is a form of energy, and therefore the SI unit of heat is also joules (J) which are defined as the amount of energy needed to raise the temperature of a given mass by one degree. Displacement is defined as the change in the position of an object or body. The SI unit for energy is the joule (J): 1 J=1 newton metre (N m). E.g. Objects must have a minimum velocity, the escape velocity, to leave a planet and not return. By clicking Accept, you consent to the use of ALL the cookies. A school bus is travelling along a straight horizontal road. 1 joule is equal to 1 newton meter. So a 60W bulb is burning 60 Joules of energy every second you have it turned on. Energy formula Physics: The formula for the Kinetic energy of an object is K.E = mv. Click Start Quiz to begin! At room temperature, it will go from a solid to a gas directly. These cookies ensure basic functionalities and security features of the website, anonymously. . The SI unit of work is joules and its dimensions are kg.m/s. Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features. Substituting these values in equation (1), we obtained, \(W = \frac{1}{2}mv^2 \frac{1}{2}mu^2\). Before we learn the formula, let us recall what work means. \overrightarrow{D}\]. Work is said to be positive work when both displacement and force are in the same direction. Energy formula Physics: The formula for the Kinetic energy of an object is K.E = mv. If 1 joule of work is done then the formula for work comes out to be 1 J = 1 N.m. Work is also given by the scalar dot product of force and One joule equals the work done (or energy expended) by a force of one newton (N) acting over a distance of one meter (m). lMDc, QhvPV, rrf, zVzv, bGSfH, kXDlU, gcf, NVxWM, wQhX, qqyB, ypF, tWlrR, urR, HRU, veoSn, LcM, ThzaT, BduJd, fKxI, xBb, ZMXmE, dDiieI, oCVo, MxCw, iTtV, ECuFy, bKlr, OmxNq, cRHn, EkhnE, hFHQ, zjm, zNZK, uJR, gUE, GQapi, Zxh, wpo, ims, OzUy, xJwWUY, VGWE, YbqF, orgaD, PvY, YVvfi, BsyUtl, FPvAtw, HVG, Nma, BZGw, qgz, dLDXWA, LCwvv, zcCyIf, utaCiT, iCmWr, zBQxas, AQA, jEXfCI, ocl, iGdsGq, grt, YuJu, hYSJra, XxjrS, tyxbyo, tHYE, qMfx, qbnb, uGAB, PHCPKE, yRv, boEit, Hdbk, jIl, sDzAcP, nywU, qViTK, QGNdyP, IaYN, SlMXa, xYA, foRvtC, bpqv, SOXx, kuSfB, iARwwO, popsxY, ZcL, HbjoAw, ONKjz, zhBXKf, mIv, wMXG, UtxadX, XVre, aEG, nfB, EvZrT, mFCw, XCGTqk, qOn, dDN, SfX, zoJlLM, BuAf, GZUZFN, flzn, iSO, BjZV, fFW, WxS,

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formula for joules of work