Energy conversion efficiency of each bounce

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SUMMARY

The discussion focuses on calculating the energy conversion efficiency of a ball dropped from a height of 10 meters that rises to a height of 2 meters after three bounces. The energy conversion efficiency for each bounce can be defined using the equation: efficiency = (potential energy after bounce / potential energy before bounce) × 100%. The potential energy is calculated using the formula PE = mgh, where m is mass, g is the acceleration due to gravity, and h is height. The efficiency of the bounces indicates how much energy is retained after each impact.

PREREQUISITES
  • Understanding of potential energy (PE = mgh)
  • Knowledge of kinetic energy and its relation to motion
  • Basic principles of energy conservation
  • Familiarity with the concept of energy conversion efficiency
NEXT STEPS
  • Calculate the potential energy of the ball at 10 meters and 2 meters using PE = mgh
  • Learn about energy loss mechanisms in bounces, such as air resistance and deformation
  • Explore the concept of coefficient of restitution and its impact on bounce height
  • Investigate real-world applications of energy conversion efficiency in sports and materials science
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Students in physics, engineers working on energy systems, and anyone interested in the principles of energy conservation and efficiency in mechanical systems.

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1. i drop a ball (mass 20 grammes) from a height of 10 meters, after 3 bounces it rises to a height of 2 meters, what is the energy conversion efficiency of each bounce?



2. I've been stuck on this for the last hour and have nothing any help would be great.



3.the closest i got was doing 10× random percentages 3 times and seeing how close i got
 
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Welcome to PF!

Can you define, as an equation, what "energy conversion efficiency" means for a single bounce? (hint: it involves the kinetic energy of the ball before and after a bounce, and a conversion factor). Can you relate the kinetic energy of the ball when it is at zero height just before a bounce with the potential energy when it earlier was at height h, but with zero speed? Can you utilize all this to relate the drop height from before the first bounce to the bounce height after the last bounce? What must you assume about the conversion factor in order to do this?
 

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