# 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

 $$\large{ p = p' }$$ $$\large{ m_1 v_1 + m_2 v_2 = m_1 v'_1 + m_2 v'_2 }$$ $$\large{ \sum m_i v_i = \sum m_i v'_i }$$

### Where:

$$\large{ p }$$ = the system's initial momentum

$$\large{ p' }$$ = the system's final momentum

$$\large{ m_1 }$$ and $$\large{ m_2 }$$ = masses or the object

$$\large{ v_1 }$$ and $$\large{ v_2 }$$ = velocities of the object

$$\large{ v'_1 }$$ and $$\large{ v'_2 }$$ = objects velocities after the collision