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Kinetic and Potential Energy Kinetic and Potential Energy In linguistics, the potential mood The mathematical study of potentials is known as potential theory; it is the study of harmonic functions on manifolds. This mathematical formulation arises from the fact that, in physics, the scalar potential is irrotational, and thus has a vanishing Laplacian — the very definition of a harmonic function. In physics, a potential may refer to the scalar potential or to the vector potential. In either case, it is a field defined in space, from which many important physical properties may be derived. Leading examples are the gravitational potential and the electric potential, from which the motion of gravitating or electrically charged bodies may be obtained. Specific forces have associated potentials, including the Coulomb potential, the van der Waals potential, the Lennard-Jones potential and the Yukawa potential. In electrochemistry there are Galvani potential and Volta potential. In Thermodynamics potential refers to thermodynamic potential. In physics, potential energy is the energy of a body or a system due to the position of the body or the arrangement of the particles of the system.[1] The SI unit for measuring work and energy is the Joule (symbol J). The term "potential energy" was coined by the 19th century Scottish engineer and physicist William Rankine,[2][3] although it has links to Greek philosopher Aristotle's concept of potentiality.

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Kinetic energy is energy of motion. The kinetic energy of an object is the energy it possesses because of its motion. The kinetic energy* of a point mass m is given by Kinetic energy is an expression of the fact that a moving object can do work on anything it hits; it quantifies the amount of work the object could do as a result of its motion. The total mechanical energy of an object is the sum of its kinetic energy and potential energy.The total energy of an isolated system is subject to the conservation of energy principle. For an object of finite size, this kinetic energy is called the translational kinetic energy of the mass to distinguish it from any rotational kinetic energy it might possess - the total kinetic energy of a mass can be expressed as the sum of the translational kinetic energy of its center of mass plus the kinetic energy of rotation about its center of mass. This assumes that the speed is much less than the speed of light. If the speed is comparable with c then the relativistic kinetic energy expression must be used Kinetic Energy Concept Kinetic energy is energy of motion. The kinetic energy of an object is the energy it possesses because of its motion. The kinetic energy of a point mass m is given by Energy as the capacity for doing work is a convertible currency. To give something kinetic energy you must do work on it. This development uses the concept of work as well as Newton's second law and the motion equations. It is a special case of the work-energy principle, a powerful general principle of nature. Kinetic Energy and the Work Energy Theorem Idea: Force is a vector, work and energy are scalars. Thus, it is often easier to solve problems using energy considerations instead of using Newton's laws (i.e. it is easier to work with scalars than vectors). Definition: The kinetic energy ( KE ) of an object of mass m that is moving with velocity v is:

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Potential Energy: Potential energy exists whenever an object which has mass has a position within a force field. The most everyday example of this is the position of objects in the earth's gravitational field. The potential energy of an object in this case is given by the relation: PE = mgh Where PE = Energy (in Joules) m = mass (in kilograms) g = gravitational acceleration of the earth (9.8 m/sec2) h = height above earth's surface (in meters) Kinetic Energy: Kinetic Energy exists whenever an object which has mass is in motion with some velocity. Everything you see moving about has kinetic energy. The kinetic energy of an object in this case is given by the relation: KE = (1/2)mv2 where KE = Energy (in Joules) m = mass (in kilograms) v = velocity (in meters/sec)

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Kinetic and Potential Energy