Momentum and stopping distance

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Homework Help Overview

The discussion revolves around a physics problem concerning momentum and stopping distance for two objects with different masses but the same momentum. Participants are exploring the implications of mass and force on the stopping distance of these objects.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to understand the relationship between mass, momentum, and stopping distance, questioning whether the heavier or lighter object will stop in a shorter distance when subjected to the same retarding force. Some participants inquire about the equations that relate momentum to mass and velocity.

Discussion Status

Participants are actively engaging with the concepts, with some providing equations and reasoning related to kinetic energy and momentum. There is a mix of interpretations regarding the relationship between mass and stopping distance, with no explicit consensus reached yet.

Contextual Notes

The discussion includes references to the change in kinetic energy and its relation to stopping distance, highlighting the need for clarity on how these concepts interact in the context of the problem.

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Homework Statement



Two objects have different masses, but the same momenta. If you stop them with the same retarding force, which one will stop in the shorter distance. The heavier or lighter one? Or will both have the same distance?




Homework Equations





The Attempt at a Solution



Wouldn't the heavier one take more force to stop it, thus leading to a greater distance? However, the correct answer is that the heavier one will stop in the shorter distance. Explain, thanks!
 
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What's the equation which relates momentum to mass and velocity?
 
retarding force X distance moved = change in kinetic energy.
Can you find the relation between momentum and kinetic energy?
 
p=mv

change in KE=fd

KE=1/2m(v^2)


KE=p^2/2m

So basically, the greater the mass, the smaller the KE. And the smaller the KE, the smaller the distance. ok...thanks.
 

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