\(\def \u#1{\,\mathrm{#1}}\) \(\def \abs#1{\left|#1\right|}\) \(\def \ast{*}\) \(\def \deg{^{\circ}}\) \(\def \ten#1{\times 10^{#1}}\) \(\def \redcancel#1{{\color{red}\cancel{#1}}}\) \(\def \BLUE#1{{\color{blue} #1}}\) \(\def \RED#1{{\color{red} #1}}\) \(\def \PURPLE#1{{\color{purple} #1}}\) \(\def \th#1,#2{#1,\!#2}\) \(\def \lshift#1#2{\underset{\Leftarrow\atop{#2}}#1}}\) \(\def \rshift#1#2{\underset{\Rightarrow\atop{#2}}#1}}\) \(\def \dotspot{{\color{lightgray}{\circ}}}\)

How Things Move

Why Things Move

Index for
Chapter 4: Rotational Motion

Index for
Chapter 6: Energy

Index for
Chapter 5
Impulse and Momentum

1. Impulse

impulse
Impulse (\(\vec J\)) measured in Ns
\(\vec J=\vec F_{avg}\Delta t\)

2. Momentum

momentum
Momentum (\(\vec p\)) measured in Ns
\(\vec p=m\vec v\)
\(\vec J=\Delta\vec p=\vec p_f-\vec p_i\)
\(\text{or }\vec p_f = \vec p_i + \vec J\)

3. Bouncing Off Walls

collisions
When studying collisions, calculate the momentum of the ball right before and right after the collision, so that non-collision forces can be ignored.

4. Total Momentum

system
The momentum of a system of objects is equal to
the sum of the momenta of its individual components.

5. Conservation of Momentum

conservation of momentum
During a collision, the total momentum of a
system of the objects involved stays the same.

6. 2D Collisions

7. PS: Assessment Objectives

8. PS: Impulse and Momentum Problems

9. PS: Collision Problems