Relationships between potential energy and distance

AI Thread Summary
Gravitational potential energy increases with distance due to the formula mgh, indicating a direct relationship. In contrast, electric potential energy decreases with distance, as shown by the formula kq1q2/r, demonstrating an inverse relationship. The gravitational attraction can be expressed as Gm1m2/d², highlighting a similarity to electric forces. When considering small changes in distance relative to the overall distance, gravitational attraction appears nearly constant, justifying the use of mgh. Understanding these distinctions is crucial for grasping the differences in potential energy behaviors between gravitational and electric forces.
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Why is gravitational potential energy directly related to the distance of between two objects (mgh, so as distance increases, potential energy increases) while electric potential energy is inversely related (kq1q2/r,distance increases, electric potential energy decreases)?
 
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henry3369 said:
Why is gravitational potential energy directly related to the distance of between two objects (mgh, so as distance increases, potential energy increases) while electric potential energy is inversely related (kq1q2/r,distance increases, electric potential energy decreases)?
Well, it isn't. If you look at it macroscopically, the gravity attraction is \frac{Gm_{1}m_{2}}{d^{2}}. See the similarity?
Locally, when a change in distance is small compared to the basic distance, the gravity attraction is almost constant and you can do the mgh thing.
 
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