Gravitational Potential Energy Derivation
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Gravitational potential energy gpe is an important physical concept that describes the energy something possesses due to its position in a gravitational field.
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Derivation of gravitational potential energy equation december 27 2015 december 12 2010 by mini physics showhide sub topics work energy and power a level.
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Gravitational potential energy derivation. So potential energy pe fh. 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. Gravitational potential energy let me look at this problem again. Consider a source mass m is placed at a point along the x axis initially a test mass m is at infinity.
Gravitational potential energy derivation. Derivation of gravitational potential energy equation. The integral of the gravitational force over some path doesnt actually depend on the path. 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.
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. 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. 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. A small amount of work done in bringing it without acceleration through a very small distance dx is given by.
Where m is the mass of the object. Derivation of gravitational potential energy. 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. 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.
This is the currently selected item. The gravitational potential v at a location is the gravitational potential energy u at that location per unit mass. Work done by gravity path independent next lesson. Video transcript narrator if i hold this bowling ball at some height then we say that the ball has gravitational potential energy.
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