Potential Energy
The gravitational potential (V) is the potential energy (U) per unit mass:
where m is the mass of the object. 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. If the body has a mass of 1 unit, then the potential energy to be assigned to that body is equal to the gravitational potential. So the potential can be interpreted as the negative of the work done by the gravitational field moving a unit mass in from infinity.
In some situations, the equations can be simplified by assuming a field that is nearly independent of position. For instance, in daily life, in the region close to the surface of the Earth, the gravitational acceleration can be considered constant. In that case, the difference in potential energy from one height to another is to a good approximation linearly related to the difference in height:
Read more about this topic: Gravitational Potential
Famous quotes containing the words potential and/or energy:
“Raising a daughter is an extremely political act in this culture. Mothers have been placed in a no-win situation with their daughters: if they teach their daughters simply how to get along in a world that has been shaped by men and male desires, then they betray their daughters’ potential But, if they do not, they leave their daughters adrift in a hostile world without survival strategies.”
—Elizabeth Debold (20th century)
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—Fred Rogers (20th century)