Roller coaster work gravitational energy.

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SUMMARY

The discussion centers on calculating the work done by gravitational force on a frictionless roller coaster car with a mass of 954 kg, which reaches a height of 30.8 m at an initial speed of 24.2 m/s. Participants confirm that when the car moves from one point to another at the same height, the change in gravitational potential energy is zero, leading to the conclusion that the work done by gravity in this scenario is also zero. The consensus emphasizes that kinetic energy does not need to be included in this specific calculation of gravitational work.

PREREQUISITES
  • Understanding of gravitational potential energy concepts
  • Familiarity with the work-energy principle
  • Basic knowledge of kinetic energy
  • Ability to analyze motion in a frictionless environment
NEXT STEPS
  • Study the work-energy theorem in detail
  • Explore gravitational potential energy calculations in various scenarios
  • Learn about energy conservation principles in frictionless systems
  • Investigate the effects of height changes on gravitational work
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of energy conservation and gravitational work in mechanical systems.

tebes
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Homework Statement


a frictionless roller coaster car of mass m = 954 kg tops the first hill with speed v0 = 24.2 m/s at height h = 30.8 m. How much work does the gravitational force do on the car from that point to (a) point A. (same height)


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The Attempt at a Solution


One question is baffling me, do I need to include kinetic energy when calculating using the change of gravitational potential energy? Does it mean that question (a), work does by the gravitational force is zero ?
 
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tebes said:
One question is baffling me, do I need to include kinetic energy when calculating using the change of gravitational potential energy?
No.
Does it mean that question (a), work does by the gravitational force is zero ?
That's what I would say. Going from one point to another of equal height, the change in gravitational PE (and thus the work done by gravity) is zero.
 

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