Calculating Impact Velocity Using Coefficient of Restitution

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SUMMARY

This discussion focuses on calculating impact velocity using the Coefficient of Restitution (CoR) based on the heights from which a ball is dropped and bounces. Participants clarify that while the CoR can be calculated from these heights, it is not necessary for determining the impact velocity. Instead, the equations for constant acceleration can be directly applied to find both the impact and rebound velocities. The conversation emphasizes the importance of understanding energy conservation and the role of mechanical energy loss during the bounce.

PREREQUISITES
  • Understanding of the Coefficient of Restitution (CoR)
  • Familiarity with equations of constant acceleration
  • Basic principles of mechanical energy conservation
  • Knowledge of impact and rebound velocity concepts
NEXT STEPS
  • Study the equations of motion for constant acceleration in physics
  • Learn how to calculate the Coefficient of Restitution using height measurements
  • Explore energy loss mechanisms during elastic and inelastic collisions
  • Investigate practical applications of impact velocity calculations in sports science
USEFUL FOR

Students in physics, engineers working on impact analysis, and anyone interested in the mechanics of collisions and energy conservation.

bionut
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Hi all, I know this may see basic but how would I go about calcualting Impact velovity?

The only information I have is:
Height dropped, height bounced and from here I can calculate the CofR...

But how would I go about finding impact velocity
 
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Conservation of energy.
 
YEs, I thought of that... but don't know the mass of the ball?
 
bionut said:
Yes, I thought of that... but don't know the mass of the ball?
Use m for the mass of the ball.


Both KE & PE are proportional to the mass, m.
 
Last edited:
bionut said:
Hi all, I know this may see basic but how would I go about calcualting Impact velovity?

The only information I have is:
Height dropped, height bounced and from here I can calculate the CofR...

But how would I go about finding impact velocity

I don't get the question, i think it is wrong just because there is no need for the Coefficient of Restitution to find the impact (final ) velocity .

The Equations for constant acceleration , once applied would be used to find the Impact velocity AND the rebound velocity
 
hms.tech said:
I don't get the question, i think it is wrong just because there is no need for the Coefficient of Restitution to find the impact (final ) velocity .

The Equations for constant acceleration , once applied would be used to find the Impact velocity AND the rebound velocity
Some mechanical energy is lost in the bounce. Thus there is a coefficient of restitution.
 

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