####
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} |