Deriving the Inelastic 3-Body Equation for Colliding Balls with Different Masses

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Homework Help Overview

The discussion revolves around deriving the inelastic three-body equation for colliding balls of different masses, specifically focusing on a scenario where two balls fall and collide with a stationary ground. The original poster is seeking guidance on the appropriate equations and methods for this derivation.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the conservation of momentum as a potential approach and question the applicability of center of mass calculations for a three-body collision. The original poster outlines their research essay's structure, indicating a focus on varying the masses of the balls involved.

Discussion Status

The conversation is ongoing, with participants exploring different interpretations of the problem. Some guidance has been offered regarding momentum conservation, but no consensus has been reached on the specific approach to derive the inelastic three-body equation.

Contextual Notes

The original poster mentions using a general inelastic equation and the need to incorporate a collision with the floor, indicating that assumptions about the collision dynamics are under discussion.

GreenSabbath
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What equation should I use to represent a 3 body inelastic equation .. two ball of different masses falling together and colliding with the stationary ground.

And any hints on deriving the two body equation shown below
 

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momentum before equals momentum after.

or you could calculate the centre of mass. but that would only work for a two body collision (i think).
 
Why don't you describe the exact problem you are trying to solve?
 
Im writing a research essay on balls of different mass falling from a fixed height onto the floor. Divided into two parts, I first vary the mass of the top ball and then for the next part I vary the mass of the bigger base ball. No I am using the general inelastic equation.. attached above and I need to go about first deriving it and then incoporating a collision with the floor. So a 3 body collision?
 

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