Need help for last problem in homework

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SUMMARY

The discussion revolves around a physics homework problem involving a 1200 kg frictionless roller coaster starting from rest at a height of 19 m. The key concept applied is the conservation of energy, which states that the total mechanical energy remains constant in a frictionless system. When the roller coaster descends to a height of 11 m, its potential energy decreases, converting into kinetic energy. The kinetic energy at this point can be calculated using the formula KE = PE_initial - PE_final.

PREREQUISITES
  • Understanding of basic physics concepts, particularly conservation of energy.
  • Familiarity with potential energy and kinetic energy formulas.
  • Ability to perform calculations involving mass, height, and gravitational acceleration.
  • Knowledge of the principles of frictionless motion in physics.
NEXT STEPS
  • Study the conservation of energy principle in-depth.
  • Learn how to calculate potential energy using the formula PE = mgh.
  • Explore kinetic energy calculations and their applications in real-world scenarios.
  • Review examples of frictionless systems in physics to reinforce understanding.
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Students studying physics, educators teaching energy concepts, and anyone looking to strengthen their understanding of mechanical energy conservation in frictionless systems.

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I was able to solve all my other problems for homework but I'm having problems with this one.
Any help would be appreciated. Thanks


A 1200 kg frictionless roller coaster starts from rest at a height of 19 m. What is its kinetic energy when it goes over a hill that is 11 m high?
 
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Hint: Conservation of energy
 

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