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Linear Momentum: Conservation of Momentum

Terms and Formulae

Introduction and Summary Conservation of Momentum

Center of Mass

Terms

Center of Mass  -  The point at which a given net force acting on the system will produce the same acceleration as if all the mass were concentrated at that point.
Impulse  -  A force applied over a period of time. See definition of impulse.
Momentum  -  The product of an object's mass and velocity. See definition of momentum.
Conservation of Momentum  -  The principle stating that for any system with no external forces acting on it, momentum will be conserved.

Formulae

 
Position of the center of mass of a system of particles x cm = m n x n
 
Velocity of the center of mass of a system of particles v cm = m n v n
 
Acceleration of the center of mass of a system of particles a cm = m n a n
 
Acceleration of the center of mass of a system of particles given an external force F ext = Ma cm
 
Definition of Impulse J = FΔt
 
Change in velocity caused by an impulse J = mv f - mv o
 
Definition of momentum p = mv
 
Relation between force and momentum = F
 
Impulse-Momentum Theorem J = Δp
 
Definition of the linear momentum of a system of particles P = Mv cm

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