Showing that energy of a falling object remains constant

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SUMMARY

The discussion centers on demonstrating that the total energy of a falling object remains constant throughout its descent. Participants suggest calculating potential energy (PE) and kinetic energy (KE) at various points during the fall, emphasizing the conversion of PE into KE. By analyzing the energy at the starting point, midpoint, and endpoint, one can illustrate that the sum of PE and KE remains unchanged, confirming the principle of conservation of energy in a gravitational field.

PREREQUISITES
  • Understanding of gravitational potential energy (PE = mgh)
  • Knowledge of kinetic energy (KE = 0.5mv²)
  • Familiarity with the concept of energy conservation
  • Ability to graph energy transformations
NEXT STEPS
  • Explore the principles of energy conservation in physics
  • Learn how to calculate potential and kinetic energy in various scenarios
  • Investigate the effects of air resistance on falling objects
  • Study graphical representations of energy transformations
USEFUL FOR

Students studying physics, educators teaching energy concepts, and anyone interested in the mechanics of falling objects and energy conservation principles.

MadmanMurray
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I got this question on a sample test but I don't know how they want me to answer it
Q.) Show that for a falling body, the total amount of energy is constant at any point
I suppose I could state the potential energy then draw a graph of how the potential energy is converted into velocity. Is that what they mean?
 
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Consider the starting point, end point and anyone point in between them. Then find potential energy, kinetic energy at these point and find the total energy. Show the it remains constant.
 

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