But overall, you've got the right idea.

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SUMMARY

The discussion centers on how roller coasters exemplify the law of conservation of energy, specifically through the conversion of potential energy (PE) to kinetic energy (KE). As a roller coaster descends, the potential energy at the peak is transformed into kinetic energy at the bottom, illustrating the principle that energy is conserved in a closed system. The conversation also highlights the importance of minimizing frictional losses to maximize energy transfer efficiency during the ride.

PREREQUISITES
  • Understanding of potential energy and kinetic energy concepts
  • Familiarity with the law of conservation of energy
  • Basic knowledge of friction and its effects on motion
  • Ability to apply physics equations related to energy
NEXT STEPS
  • Research the mathematical relationship between potential energy and kinetic energy using KE=PE
  • Explore the effects of friction on energy transfer in mechanical systems
  • Investigate real-world applications of conservation of energy in roller coasters
  • Learn about energy efficiency improvements in amusement park rides
USEFUL FOR

Physics students, educators, engineers, and anyone interested in the mechanics of roller coasters and energy conservation principles.

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Homework Statement


How does a roller coaster demonstrate the law of conservation of energy by the transfer of potential energy to kinetic energy


Homework Equations


KE=PE


The Attempt at a Solution


i believe that as the roller coaster descends down the hill the potential energy changes into kinetic energy where the amount of potential energy at the top of the hill is equal to the kinetic energy just as it hits the bottom

i think this is right but i have a feeling there is more to it than this
 
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Sounds right to me.

The key element of a roller-coaster is in its name even Rolling. Coasting. Low frictional loss activities, because of course frictional loss is the enemy of the pure translation of Potential energy to Kinetic motion.
 

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