How is the coefficient of restitution zero for this problem?

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Homework Help Overview

The discussion revolves around the concept of the coefficient of restitution in the context of a collision problem, specifically addressing why it is considered to be zero in this scenario.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the definition and calculation of the coefficient of restitution, questioning the implications of relative velocities before and after the collision. Some participants seek clarification on what values to use in the formula.

Discussion Status

There is an ongoing exploration of the concept, with some participants providing insights into the implications of the relative velocity being zero after the collision. Questions remain about the specific values to substitute into the formula, indicating a productive dialogue without a clear consensus.

Contextual Notes

Participants are discussing the implications of the objects sticking together after the collision, which directly influences the coefficient of restitution. The problem context suggests that the information provided is sufficient for calculation, yet there are varying interpretations of the relative velocity concept.

Benjamin_harsh
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Homework Statement
A mass ##m_{1}## of 100kg travelling with a uniform velocity of 5m/sec
along a line collides with a stationary mass ##m_{2}## of 1000kg. After the
collision,both the masses travel together with the same velocity.
The coefficient of restitution is zero.
Relevant Equations
##coefficient\; of \;restitution = \large\frac{Relative\; speed \;after \;collision}{Relative\; speed\; before\; collision} \normalsize= 0##
##coefficient\; of \;restitution = \large\frac{Relative\; speed \;after \;collision}{Relative\; speed\; before\; collision} \normalsize= 0##
 
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There is enough information in the problem to explicitly calculate. Think of what the relative speed after collision is.
 
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Benjamin_harsh said:
How is the coefficient of restitution zero for this problem?
1- The question tells you it is zero.
2- The relative velocity after collision is zero. So the formula, ##CR=\frac{RV_{after}}{RV_{before}}## also tells you CR is zero.

The two objects collide and stick together.
 
Merlin3189 said:
2- The relative velocity after collision is zero. So the formula, ##CR=\frac{RV_{after}}{RV_{before}}## also tells you CR is zero.
What values should I substitute in ##RV_{after}## and ##RV_{before}##?
 
Sorry, I don't like to do maths :rolleyes:.
The value you should substitute for ##RV_{after}## is the relative velocity after they collide.
So the physics question is, "what is the relative velocity after collision?"
If you know what relative velocity means, then the question tells you this explicitly (in different words.)

Do you understand relative velocity?
 

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