# Linear Momentum: Conservation of Momentum

## Contents

#### 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