Find the coefficient of restitution between the balls (should be easy)

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Homework Help Overview

The discussion revolves around finding the coefficient of restitution between two balls involved in a collision. The original poster provides initial and final velocities for both balls and expresses confusion regarding the calculated value of the coefficient of restitution, which appears to contradict expected results.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to apply the formula for the coefficient of restitution but questions the validity of their result, suggesting a possible misunderstanding of the concept. Other participants suggest using momentum conservation to analyze the situation further.

Discussion Status

The discussion is ongoing, with participants exploring different aspects of the problem. Some guidance has been offered regarding the need to consider the direction of velocities in relation to the collision, but no consensus has been reached on the correct interpretation or calculation.

Contextual Notes

The original poster mentions that the velocities provided were confirmed by the teacher, and there is a specific expectation for the coefficient of restitution to be 1/3, which adds to the confusion regarding the calculations presented.

daletron
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Homework Statement



i'm retaking a test question for half credit and this is the 3rd part to the question. i know the velocities are correct because the teacher gave us the answers.

this SHOULD be simple... but okay.. (velocity) V1 = 20ft/s, V2 = 0ft/s. after the collision V1` = 16ft/s, V2` = 4ft/s. I'm supposed to find the coefficient of restitution. The formula for that (Partially elastic i assume) is (V1` - V2`) = -e(V1-V2). I get -.6 for e. but isn't e supposed to be between 0 and 1? the e is SUPPOSED to be 1/3 (given by the teacher). and I'm pretty sure i didn't copy that down wrong so it just doesn't make sense to me

Homework Equations


(V1` - V2`) = -e(V1-V2)


The Attempt at a Solution



(16ft/s - 4ft/s) / -20ft/s = -.6

Picture of the problem
http://i11.photobucket.com/albums/a162/daletron/untitled.jpg
 
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First use momentum conservation to determine the speeds of the balls along the given directions.
 
andrevdh said:
First use momentum conservation to determine the speeds of the balls along the given directions.

i did, hence when i said "after the collision V1` = 16ft/s, V2` = 4ft/s"
 
For the restitution you need to consider the speeds of the objects along the line of action. Collisions without friction changes the velocity components of the objects along the line of action. The components perpendicular to these are unaffected by the collision.
 
Last edited:

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