Bungee Jump Physics Problem: Solving for Velocity and Height

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SUMMARY

The discussion focuses on solving a bungee jump physics problem using energy conservation principles. Participants emphasize the use of the elastic potential energy equation, specifically 1/2kx², to equate with gravitational potential energy (mgh). The correct free fall distance is debated, with calculations suggesting a total of 25m, derived from 20m of rope, 3m of unstretched bungee, and an additional 1m from the center of mass above the starting point.

PREREQUISITES
  • Understanding of energy conservation principles in physics
  • Familiarity with elastic potential energy equations
  • Knowledge of gravitational potential energy concepts
  • Basic algebra for solving equations
NEXT STEPS
  • Study the derivation and application of the elastic potential energy equation 1/2kx²
  • Learn about gravitational potential energy calculations (mgh) in various contexts
  • Explore the physics of free fall and its implications in bungee jumping scenarios
  • Investigate the effects of different bungee cord materials on elasticity and performance
USEFUL FOR

This discussion is beneficial for physics students, educators, and enthusiasts interested in understanding the mechanics of bungee jumping and energy conservation principles.

yowgurt
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Sounds like an energy conservation problem to me. All of his gravitational potential energy can be assumed to be stored in the bungie at the bottom of his jump. You should be able to use the elastic potential equation 1/2kx^2 (where x is the stretch in the bungie) and equate that with the gravitational potential mgh

On a related note, are you sure that 25m is the correct free fall distance? I see where you get 20m (the rope) and 3m (the unstretched bungie) and 1m (the CM above the starting point) but where is the other 1m from?
 

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