Conservation of Energy graph help

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A graph of potential energy versus kinetic energy should reflect the conservation of energy principle, where total energy remains constant. Typically, this graph is linear with a downward slope of 45 degrees, indicating that as potential energy decreases, kinetic energy increases. If the graph is rising, it suggests a misassignment of potential energy direction. In a vacuum, potential energy is calculated as mgh, and when an object falls, its potential energy decreases while kinetic energy increases. Including negative gravity in calculations may clarify the relationship 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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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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