Showing that energy of a falling object remains constant

AI Thread Summary
The discussion revolves around demonstrating that the total energy of a falling object remains constant throughout its descent. It suggests starting with potential energy and illustrating its conversion into kinetic energy as the object falls. Participants emphasize the importance of analyzing energy at various points—initial, intermediate, and final—to show that the sum of potential and kinetic energy remains unchanged. A graphical representation may help clarify the energy transformation process. Ultimately, the goal is to confirm the principle of conservation of energy in the context of falling bodies.
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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