Difference between revisions of "Momentum"

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<math>\vec{p}=m \vec{v}</math>
 
<math>\vec{p}=m \vec{v}</math>
The central importance of momentum is due Newton's second law which states or rather defines Force <math>\vec{F}</math> acting on a body to be equal to it's rate of change of momentum.That is if <math>\vec{F}</math> is the net force acting on a body then we have\\
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<math>\boxed{\vec{F}=\frac{d \vec{p}}{dt}}</math> \\
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The central importance of momentum is due Newton's second law which states or rather defines Force <math>\vec{F}</math> acting on a body to be equal to it's rate of change of momentum.That is if <math>\vec{F}</math> is the net force acting on a body then we have
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 +
<math>\boxed{\vec{F}=\frac{d \vec{p}}{dt}}</math>
 +
 
 +
 
 
This means if a body moves such that it's momentum vector remains invariant with time then we can conclude that there is no net Force acting on it
 
This means if a body moves such that it's momentum vector remains invariant with time then we can conclude that there is no net Force acting on it
 
[[Category:Physics]]
 
[[Category:Physics]]

Revision as of 08:50, 20 February 2008

Momentum is the measure of 'how' much motion a body posses and is of prime importance to Mechanics, Mathematically if we have a body of mass $m$ moving with velocity $\vec{v}$ then it's momentum $\vec{p}$ is defined as

$\vec{p}=m \vec{v}$


The central importance of momentum is due Newton's second law which states or rather defines Force $\vec{F}$ acting on a body to be equal to it's rate of change of momentum.That is if $\vec{F}$ is the net force acting on a body then we have

$\boxed{\vec{F}=\frac{d \vec{p}}{dt}}$


This means if a body moves such that it's momentum vector remains invariant with time then we can conclude that there is no net Force acting on it