In physics, potential energy is the energy held by an object because of its position relative to other objects, stresses within itself, its electric charge, or other factors. Let [PE] = dimension of potential energy [F] = dimension of force [a] = dimension of acceleration. 1 decade ago. T = dimension of time … It is mandatory to procure user consent prior to running these cookies on your website. The formula for a test charge ‘q’ that has been placed in the presence of a source charge ‘Q’, is as follows: where q is the test charge, εo is the permittivity of free space, Q is the field charge and R is the distance between the two point charges. (5). M = dimension of mass. The formula for potential energy of a system depends on the forces at work and the constituents of a system. (3). The formula is as follows: where m is the mass, g is the acceleration due to gravity (9.8 m/s2) and h is the height above Earth surface. Necessary cookies are absolutely essential for the website to function properly. The formula is as follows: Gravitational Potential Energy = mgh where m is the mass, g is the acceleration due to gravity (9.8 m/s2) and h is the height above Earth surface. 6789 Quail Hill Pkwy, Suite 211 Irvine CA 92603. Motion occurs when this stored energy is converted into kinetic energy. We also use third-party cookies that help us analyze and understand how you use this website. . So one can say that objects at higher altitudes on Earth have a higher potential energy. All macroscopic systems outside the atomic nucleus are either governed by the electromagnetic or gravitational forces. Copyright © Science Struck & Buzzle.com, Inc. The formula for potential energy of an object in a force field depends on its position and other inherent factors like mass and charge. There are various ways of deriving it. For a detailed explanation of potential energy, scroll down further. Help!!! 2 Answers. It has several interpretations and its types vary widely. . . On substituting equation (4) and (5) in equation (3) we get, Potential Energy = [M1 L0 T0] × [M0 L1 T-2] × [Mo L1 T0], Therefore, the dimension of potential energy = [M1 L2 T-2] . If you are looking for the velocity formula in physics, this article has the needful, dished out for you. Gravitational potential energy is a function of the position of the object in a gravitational field, force of gravity at that point and mass of the object. Energy is the most fundamental concept in physics. One of them is through solution of Lagrangian equations of motion. Would you like to write for us? . . We'll assume you're ok with this, but you can opt-out if you wish. But opting out of some of these cookies may have an effect on your browsing experience. . The dimensional formula of Potential Energy is given by, Potential Energy (P.E) = Mass × Acceleration due to Gravity × Altitude . This category only includes cookies that ensures basic functionalities and security features of the website. Favorite Answer. On substituting equation (2) and (6) in equation (1) we get, Electric potential =  Potential energy × [Charge of particle]-1, Or, Ep = [M1 L2 T-2] × [I1 T1]-1 = [M1 L2 T-3 I-1]. How is potential energy defined? Depending on the force involved, the associated potential energy formulas vary. (2), For acceleration due to gravity, the dimensional formula = [M0 L1 T-2] . In here, we provide and explain the rotational and relativistic formulas as well. In what follows, the most commonly used formulas are presented, along with calculators. . These cookies do not store any personal information. It is a type of energy that a system possesses on account of its configuration and position of various constituents of that system in presence of a force. 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Therefore, Potential Energy is dimensionally represented as [M1 L2 T-2]. Out of these cookies, 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. The dimensional formula of electric potential is given by, Since, Potential energy = Charge of particle × Electric potential, Therefore, electric potential =  Potential energy × [Charge of a particle]-1 . . Any cookies that may not be particularly necessary for the website to function and is used specifically to collect user personal data via analytics, ads, other embedded contents are termed as non-necessary cookies. When such an object is released from the height to which it has been lifted and it falls freely, gravitational potential energy gets converted into kinetic energy. where m is the mass of the object, g is the height of the object, g is the gravitational field strength (9.8m/s²), and v is the average velocity of the object.

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