# Momentum¶

## Linear Momentum¶

$$\vec{p} = m \vec{v}$$

### Linear Momentum Conservation¶

If the velocities of the particles are $\vec{u_1}$ and $\vec{u_2}$ before the interaction, and afterwards they are $\vec{v_1}$ and $\vec{v_2}$, then

$$m_1\vec{u_1} + m_2\vec{u_2} = m_1\vec{v_1} + m_2\vec{v_2}.$$
• GRE Physics GR1777: Problem 002
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