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Energy is a scalar quantity, and the mechanical energy of a system is the sum of the potential energy (which is measured by the position of the parts of the system) and the kinetic energy (which is also called the energy of motion): [1] [2]
In physics, potential energy is the energy of an object or system due to the body's position relative to other objects, or the configuration of its particles. The energy is equal to the work done against any restoring forces, such as gravity or those in a spring.
Émilie du Châtelet (1706–1749) was the first to publish the relation for kinetic energy , derived from the experimental observation of objects dropped into clay.. (Portrait by Maurice Quentin de L
where x i and y i are conjugate pairs, and the y i are the natural variables of the potential Φ. From the chain rule it follows that: = {} where {y i ≠ j} is the set of all natural variables of Φ except y j that are held as constants. This yields expressions for various thermodynamic parameters in terms of the derivatives of the potentials ...
For two pairwise interacting point particles, the gravitational potential energy is the work that an outside agent must do in order to quasi-statically bring the masses together (which is therefore, exactly opposite the work done by the gravitational field on the masses): = = where is the displacement vector of the mass, is gravitational force acting on it and denotes scalar product.
The effective potential (also known as effective potential energy) combines multiple, perhaps opposing, effects into a single potential.In its basic form, it is the sum of the 'opposing' centrifugal potential energy with the potential energy of a dynamical system.
Energy (from Ancient Greek ἐνέργεια (enérgeia) ' activity ') is the quantitative property that is transferred to a body or to a physical system, recognizable in the performance of work and in the form of heat and light.
For a material of Young's modulus, Y (same as modulus of elasticity λ), cross sectional area, A 0, initial length, l 0, which is stretched by a length, : = = where U e is the elastic potential energy.