Law of Conservation of Momentum

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

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

\(\large{ p_i = p_f  }\)
\(\large{ p_i  + p_f = p_i^{\prime}  + p_f^{\prime}  }\)
\(\large{ m_i \; v_i + m_f \; v_f  = m_i \; v_i^{\prime} + m_f \; v_f^{\prime} }\)

Where:

 Units 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 \(\large{ft^3}\) \(\large{m^3}\)

 

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Tags: Equations for Energy Equations for Law of Conservation