Derivation of Impulse and Momentum

AI Thread Summary
The discussion focuses on deriving the kinetic energy formula in terms of momentum, specifically showing that KE = p^2/2m. The initial equation for kinetic energy is given as KE = 1/2MV^2, and momentum is defined as p = mv. Participants suggest rewriting velocity in terms of momentum to facilitate the derivation. The key step involves substituting v with p/m, leading to the desired equation. The conversation emphasizes the relationship between kinetic energy and momentum in classical mechanics.
IncognitoSOS
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Show that the kinetic energy of an object can be written in terms of the momentum as
KE = p^2/2m.


Homework Equations



KE = 1/2MV^2

The Attempt at a Solution


To be honest, I don't know where to even start with this problem. It equals PV/2 but I still need to find a way to derive p^2/2m
 
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What's the definition of p?
 
p=mv
 
IncognitoSOS said:
p=mv
Now write v in terms of p and make use of it.
 

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