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

ImpulseMomentum Theorem

J = Δp

Definition of the linear momentum of a system of particles

P = Mv
_{cm}
