Momentum and Center of Mass

Linear Momentum is defined as
p=mv

where v is the velocity of the particle

-Momentum is a velocity vector
-Momentum of system of particles is the vector sum of individaul momentum of the particle
ptotal=∑viMi



Center Of Mass: Rcm=∑riMi/∑Mi

In co -ordinates system
xcm=∑xiMi/∑Mi

ycm=∑yiMi/∑Mi
zcm=∑ziMi/∑Mi

Velocity of CM=∑viMi/∑Mi

Acceleration of CM=∑Fext/∑Mi


Law Of conservation of Momentum:
if ∑Fext=0

then ∑viMi=constant

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