Terms
Collision

The brief direct contact between two bodies that results in a net impulse on
each body.
Elastic Collision

Any collision in which kinetic energy is
conserved.
Inelastic Collision

Any collision in which kinetic energy is
not conserved.
Completely Inelastic Collision

Any collision in which the two bodies stick together.
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}
