Gen Phys 1

Momentum, impulse, and collisions

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Equations

$\begin{matrix} (9.1) & \vec{p} = m \vec{v} (Momentum) \end{matrix}$ $\vec{p} = {\vec{p}}_{A} + {\vec{p}}_{B} + . . . = m_{A} {\vec{v}}_{A} + m_{B} {\vec{v}}_{B} + . . .$ $\begin{matrix} (9.2) & \sum \vec{F} = \frac{d \vec{p}}{d t} (Newton's second law) \end{matrix}$ $\sum \vec{F} = \frac{d (m \vec{v})}{d t}$ $\begin{matrix} (9.3) & \vec{J} = Δ \vec{p} (Impulse) \end{matrix}$ $Δ \vec{p} = \sum \vec{F} Δ t$ $\vec{J} = \sum \vec{F} Δ t = \int \sum \vec{F} d t$ $\begin{matrix} (9.4) & {\vec{r}}_{c m} = \frac{m_{1} {\vec{r}}_{1} + m_{2} {\vec{r}}_{2} + m_{3} {\vec{r}}_{3} + . . .}{m_{1} + m_{2} + m_{3} + . . .} (Center of mass) \end{matrix}$ $\begin{matrix} (9.5) & M {\vec{v}}_{c m} = m_{1} {\vec{v}}_{1} + m_{2} {\vec{v}}_{2} + m_{3} {\vec{v}}_{3} + . . . = \vec{P} (Momentum of center of mass) \end{matrix}$ $\begin{matrix} (9.6) & \sum {\vec{F}}_{e x t} = M \vec{a_{c m}} (Collection of particles, net charge ~ 0) \end{matrix}$

Exercises

problem 1
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problem 2
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problem 3
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Quiz

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