Gravitational Potential Energy Derivation
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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.
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Gravitational potential energy derivation. The integral of the gravitational force over some path doesnt actually depend on the path. Video transcript narrator if i hold this bowling ball at some height then we say that the ball has gravitational potential energy. This is the currently selected item. Derivation of gravitational potential energy equation december 27 2015 december 12 2010 by mini physics showhide sub topics work energy and power a level.
By ron kurtus revised 17 may 2011 the gravitational potential energy between two objects of mass is the potential of motion caused by their gravitational attraction. So potential energy pe fh. The attraction of the objects turns the potential energy into the kinetic energy of motion such that the objects will move toward each other. Because of the inverse square nature of the gravity force the force approaches zero for large distances and it makes sense to choose the zero of gravitational potential energy at an.
Potential energy is equal in magnitude but negative to the work done by the gravitational field moving a body to its given position in space from infinity. A small amount of work done in bringing it without acceleration through a very small distance dx is given by. Consider a source mass m is placed at a point along the x axis initially a test mass m is at infinity. The gravitational potential v at a location is the gravitational potential energy u at that location per unit mass.
The general expression for gravitational potential energy arises from the law of gravity and is equal to the work done against gravity to bring a mass to a given point in space. Derivation of gravitational potential energy. The gpe formula gpe mgh shows that it depends on the mass of the object the acceleration due to gravity and the height of the object. Gravitational potential energy gpe is an important physical concept that describes the energy something possesses due to its position in a gravitational field.
Derivation of gravitational potential energy equation. Where m is the mass of the object. Let a body of mass m as shown in the figure is raised up through height h from the groundthe body will acquire potential energy equal to the work done is lifting it to height h. Common types of potential energy include the gravitational potential energy of an object that depends on its mass and its distance from the center of mass of another object the elastic potential energy of an extended.
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