Relationships between potential energy and distance

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SUMMARY

The relationship between gravitational potential energy and distance is defined by the formula mgh, indicating that as distance increases, gravitational potential energy increases. In contrast, electric potential energy is described by the equation kq1q2/r, which shows that as distance increases, electric potential energy decreases. This discrepancy arises because gravitational attraction follows an inverse square law (Gm1m2/d²), which is applicable at larger distances. Locally, when distance changes are minimal compared to the overall distance, gravitational attraction can be approximated as constant, allowing the use of the mgh formula.

PREREQUISITES
  • Understanding of gravitational potential energy (mgh)
  • Familiarity with electric potential energy (kq1q2/r)
  • Knowledge of inverse square laws in physics
  • Basic calculus for analyzing local changes in distance
NEXT STEPS
  • Study the derivation of gravitational potential energy using mgh
  • Explore the implications of the inverse square law in gravitational and electric fields
  • Learn about the concept of local versus global forces in physics
  • Investigate the applications of potential energy in real-world scenarios
USEFUL FOR

Physics students, educators, and anyone interested in understanding the fundamental differences between gravitational and electric potential energy.

henry3369
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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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