How Do You Calculate the Coefficient of Restitution from a Bounce Height?

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SUMMARY

The coefficient of restitution (e) can be calculated using the formula e = h'/h, where h' is the rebound height and h is the initial drop height. In this case, the ball falls from a height of 5 meters and rebounds to a height of 2.5 meters. Therefore, the coefficient of restitution is e = 2.5m / 5m = 0.5. This indicates that the ball retains 50% of its energy after the bounce.

PREREQUISITES
  • Understanding of basic physics concepts, particularly energy conservation.
  • Familiarity with the concept of the coefficient of restitution.
  • Knowledge of free fall motion and rebound dynamics.
  • Ability to perform basic mathematical calculations involving ratios.
NEXT STEPS
  • Research the principles of energy conservation in elastic and inelastic collisions.
  • Learn about the factors affecting the coefficient of restitution in different materials.
  • Explore real-world applications of the coefficient of restitution in sports and engineering.
  • Study the mathematical modeling of projectile motion and its relation to bounce dynamics.
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Binayak95
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Homework Statement


A ball falls freely to the ground from a height of 5m and rises back to a height of 2.5m after the first rebounce. Find the coefficient of restitution.
 
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Binayak95 said:

Homework Statement


A ball falls freely to the ground from a height of 5m and rises back to a height of 2.5m after the first rebounce. Find the coefficient of restitution.

Hi Binayak95!

Why don't you show us how you approached the problem?
 
Binayak95 said:

Homework Statement


A ball falls freely to the ground from a height of 5m and rises back to a height of 2.5m after the first rebounce. Find the coefficient of restitution.

According to the forum rules, you have show some attempt yourself to solve the problem before anyone can attempt to help with whatever part you don't understand. You left off the 2nd and 3rd parts of the homework template.
 

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