How Far Does a Stationary Object Move When Struck by a Moving Object?

  • Context: Undergrad 
  • Thread starter Thread starter CrazyNeutrino
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Discussion Overview

The discussion revolves around the problem of determining how far a stationary object moves when struck by a moving object, focusing on the application of conservation of momentum and the effects of friction. Participants explore the theoretical aspects and mathematical derivations involved in solving this problem.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested, Mathematical reasoning

Main Points Raised

  • One participant asks how to derive the distance a stationary object moves when struck by a moving object, indicating a need for algebraic solutions.
  • Another participant suggests using the conservation of momentum and mentions the presence of friction as a factor in the solution.
  • A different participant acknowledges that while conservation of momentum can provide the velocity of the moving object post-collision, the distance traveled remains unclear, especially when ignoring friction.
  • One participant questions the implications of having no friction, asking what would prevent the object from moving indefinitely.
  • Another participant points out the necessity of knowing the coefficient of restitution and the amount of friction to accurately determine the distance traveled.
  • One participant expresses self-doubt regarding their understanding of the problem after realizing the importance of friction and restitution.

Areas of Agreement / Disagreement

Participants do not reach a consensus on how to solve the problem, with multiple competing views regarding the role of friction and the necessary parameters for calculating the distance traveled.

Contextual Notes

The discussion highlights limitations in the assumptions made, particularly regarding the effects of friction and restitution, which are not fully resolved in the conversation.

CrazyNeutrino
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If I throw an object of mass m with a velocity v against another object of mass M and is stationary, how far would the second object move? Can you please show me how I would solve this? Just show me how to derive the distance it travels, algebraicaly.
 
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well you know about the conservation of momentum, and I assume the floor has friction. Use these ideas to solve how far it goes
 
Yeah using conservation of momentum I can always find the velocity the object will travel but how will I find how far. Ignore friction.
 
well if there's no friction on the floor, what is stopping it?
 
You would need to know the amount of friction and coefficient of restitution of the collision.
 
Jeez I didn't think of that. What an idiot I am. Sorry
 

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