Doubling the kinetic energy of an object does what to momentum?

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Discussion Overview

The discussion revolves around the relationship between kinetic energy and momentum, specifically exploring the implications of doubling the kinetic energy of an object on its momentum. The conversation includes theoretical considerations and mathematical relationships.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • Some participants reference the equation KE = p²/2m to discuss the relationship between kinetic energy and momentum.
  • One participant suggests that doubling the kinetic energy might have a negative effect on momentum, though this claim is not clearly defined.
  • Another participant counters that an increase in kinetic energy would lead to an increase in momentum, but clarifies that it would not necessarily double.
  • A separate topic is introduced regarding the momentum of a nest of insects, questioning how it could be zero.
  • One participant explains that momentum is a vector, implying that the individual momentum vectors of the insects could sum to zero.

Areas of Agreement / Disagreement

Participants express differing views on the effects of doubling kinetic energy on momentum, with no consensus reached on whether it has a negative effect or not. Additionally, the discussion about the momentum of the insects introduces a separate line of inquiry that remains unresolved.

Contextual Notes

The discussion includes assumptions about the definitions of kinetic energy and momentum, as well as the implications of vector addition in the context of the insects' momentum.

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Would doubling the kinetic energy of an object have any effect on the momentum?
 
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Yes, KE=p^2/2m.
 
Yes,According to this equation showing the relation between momentum and kinetic energy:
[tex]E_k = \frac {p^2}{2m}[/tex]
I tried reversing the equation and I think you should a negative effect on the momentum
 
Last edited:
I tried reversing the equation and I think you should a negative effect on the momentum

What do you mean by negative effect? If the kinetic energy increases the momentum increases (although it won't double).
 
Last edited:
Im stuck on this.

How could a nest of insects have a momentum of zero?
 
Last edited:
Diogenes, momentum is a vector. All the insects momentum vectors could add up to nothing.
 

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