8. (Problem Solving)

# Impulse and Momentum Problems

- Start with the equation $$\vec p_f=\vec p_i + \vec J$$ where $\vec J$ is the total impulse on the object.
- If you are given either momentum or impulse directly, then fill it into the equation.
- If not, use $\vec p=m\vec v$ and $\vec J=F_{avg}\Delta t$.
- Fill in all the values that you are given, then solve for the value that you are asked for.
- If the problem is in two dimensions, you will have separate equations for horizontal and vertical components: think $$p_{fx} = p_{ix}+J_x \qquad \hbox{AND} \qquad p_{fy}=p_{iy}+J_y$$

- If you like, you can use a table like the one on the right. Note that mass $m$ and the duration $\Delta t$ of the collision appear multiple times.