Conservation of Energy graph help

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SUMMARY

The discussion centers on the relationship between potential energy and kinetic energy in a closed system, emphasizing that the graph should depict a linear relationship with a downward slope of 45 degrees, representing the conservation of energy. The equation governing this relationship is potential_energy + kinetic_energy = total_energy, which remains constant in an ideal scenario without losses. A graph that slopes upward indicates a misassignment of potential energy direction, particularly when considering gravitational effects. The correct calculation for potential energy is given by the formula potential_energy = m g h, where "h" is the height above a reference point.

PREREQUISITES
  • Understanding of basic physics concepts, particularly energy conservation
  • Familiarity with potential energy and kinetic energy definitions
  • Knowledge of gravitational force and its effects on motion
  • Ability to interpret graphical representations of mathematical relationships
NEXT STEPS
  • Study the principles of energy conservation in closed systems
  • Learn about the mathematical representation of potential and kinetic energy
  • Explore the effects of gravity on energy calculations in physics
  • Investigate graphical analysis techniques for energy-related graphs
USEFUL FOR

Students of physics, educators teaching energy concepts, and anyone interested in understanding the graphical representation of energy transformations in mechanical systems.

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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Assuming no losses, then total energy is a constant, and

potential_energy + kinetic_energy = total_energy

So the graph of potential versus kinetic energy is a linear graph with a downwards slope of 45 degrees.
 
What does it mean if my graph is going up instead of down?
 
Physlearner34 said:
What does it mean if my graph is going up instead of down?
Most likely that you've assigned the wrong direction to potential energy. Assume some object is in a vacuum, motionless, at some height "h". The potential energy = m g h. If you let the object fall, potential energy decreases, and kinetic energy increases.
 
My graph is going upward with a large slope. Am I suppose to include the negative gravity in my calculations for potential energy?
 

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