How Does Conservation of Energy Apply to Motion Down a Hill?

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SUMMARY

The discussion centers on the application of the conservation of energy principle to motion down a hill, specifically using the equation Eki = Ekf + Eg. Participants clarify their approaches to solving the problem, noting that their kinetic energy (Ek) terms include a factor of 1/2. The final equation presented is sqrt(vi² - sg(Δh)) = vf, which aligns with the solution provided in the referenced PDF, albeit with a noted typographical error. The conversation emphasizes the importance of correctly applying energy conservation concepts in physics problems.

PREREQUISITES
  • Understanding of kinetic energy (Ek) and gravitational potential energy (Eg)
  • Familiarity with the conservation of energy principle
  • Basic algebra for manipulating equations
  • Knowledge of motion equations in physics
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  • Study the derivation of the conservation of energy equation in physics
  • Learn about the relationship between potential energy and height in gravitational fields
  • Explore examples of energy conservation in real-world scenarios
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Students studying physics, educators teaching energy concepts, and anyone interested in understanding the mechanics of motion and energy conservation.

mike_302
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Homework Statement



My attempt at a solution was to say:

Eki = Ekf + Eg

and my Ek 's all has 1/2 on them... other than that, my solution is essentially the same thing.
I end up with sqrt( vi2 - sg(delta)h ) = vf



What's up with this?
 

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The solution in the pdf file looks good and has the same answer as in your post (except for an extra "s" which must be a typo). What exactly is the question you are asking?
 

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