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

AI Thread Summary
Doubling the kinetic energy of an object increases its momentum, but not in a straightforward manner, as momentum does not simply double with kinetic energy. The relationship between kinetic energy (KE) and momentum (p) is defined by the equation KE = p²/2m, indicating that while an increase in kinetic energy leads to increased momentum, the relationship is quadratic. A participant expressed confusion about the concept of "negative effect" on momentum, prompting clarification that momentum increases with kinetic energy. Additionally, the discussion touched on the concept of zero momentum in a nest of insects, explaining that their individual momentum vectors can cancel each other out. Overall, the relationship between kinetic energy and momentum is complex and requires careful consideration of their mathematical interdependence.
Faded Maximus
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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:
E_k = \frac {p^2}{2m}
I tried reversing the equation and I think you should a negative effect on the momentum
 
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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).
 
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Im stuck on this.

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

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