Difference between revisions of "Momentum"

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

Revision as of 11:39, 20 February 2008

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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

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