Linear Momentum is defined as

where

-Momentum is a velocity vector

-Momentum of system of particles is the vector sum of individaul momentum of the particle

In co -ordinates system

x

y

z

Velocity of CM=∑

Acceleration of CM=∑F

if ∑

then ∑

**p**=m**v**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

**p**_{total}=∑**v**_{i}M_{i}**Center Of Mass:****R**_{cm}=∑**r**_{i}M_{i}/∑M_{i}In co -ordinates system

x

_{cm}=∑x_{i}M_{i}/∑M_{i}y

_{cm}=∑y_{i}M_{i}/∑M_{i}z

_{cm}=∑z_{i}M_{i}/∑M_{i}Velocity of CM=∑

**v**_{i}M_{i}/∑M_{i}Acceleration of CM=∑F

_{ext}/∑M_{i}**Law Of conservation of Momentum:**if ∑

**F**_{ext}=0then ∑

**v**_{i}M_{i}=constant
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