Potential vs Kinetic Energy Graph: Linear or Parabola?

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SUMMARY

The discussion centers on the graphical representation of potential energy versus kinetic energy in physics. It is established that the relationship between these two forms of energy is typically represented as a parabolic curve rather than a linear graph. This parabolic shape arises from the principle of conservation of energy, where the total mechanical energy remains constant, leading to a quadratic relationship between potential and kinetic energy under specific conditions.

PREREQUISITES
  • Understanding of the law of conservation of energy
  • Familiarity with potential energy and kinetic energy concepts
  • Basic knowledge of graphing techniques in physics
  • Ability to interpret quadratic functions
NEXT STEPS
  • Study the mathematical derivation of the conservation of energy principle
  • Explore the graphical representation of quadratic functions
  • Learn about energy transformations in different physical systems
  • Investigate real-world applications of potential and kinetic energy graphs
USEFUL FOR

Students of physics, educators teaching energy concepts, and anyone interested in understanding the graphical relationships between potential and kinetic energy.

Physlearner34
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What should a graph of potential energy versus kinetic energy look like. My graph is linear but I'm pretty sure it should look like a parabola.
 
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Depends on the situation. Presumably one plus the other should be a constant.
 

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