# Law of Conservation of Momentum

Law of conservation of momentum states that momentum only moves from one place to another, since it is neither created or destroyed.

## Law of conservation of momentum formulas |
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\(\large{ p_i = p_f }\) \(\large{ p_i + p_f = p_i^{\prime} + p_f^{\prime} }\) \(\large{ m_i \; v_i + m_f \; v_f = m_i \; v_i^{\prime} + m_f \; v_f^{\prime} }\) |
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Symbol |
English |
Metric |

\(\large{ p_f } \) = the final system's momentum | \(\large{\frac{lbm-ft}{sec}}\) | \(\large{\frac{kg-m}{s}}\) |

\(\large{ p_i } \) = the initial system's momentum | \(\large{\frac{lbm-ft}{sec}}\) | \(\large{\frac{kg-m}{s}}\) |

\(\large{ m_f }\) = final mass | \(\large{lbm}\) | \(\large{kg}\) |

\(\large{ m_i }\) = initial mass | \(\large{lbm}\) | \(\large{kg}\) |

\(\large{ V_f }\) = final volume | \(\large{ft^3}\) | \(\large{m^3}\) |

\(\large{ V_i }\) = initial volume | \(\large{ft^3}\) | \(\large{m^3}\) |