Momentum and impulse  Momentum
Momentum and impulse
Lessons
Notes:
In this lesson, we will learn:
 What is impulse?
 Derivation of impulse from Newton's second law
 Impulse equations, units
 Problem solving with impulse and momentum
 Problem solving with F vs t graph
Notes:
 Impulse is change in an object's momentum.
 To change an object's momentum, an impulse must be given to that object. An example would be kicking a soccer ball (an impulse) to set it into motion (give it momentum).
 An impulse is defined as a force that acts on an object for a period of time.
 In a graph of force vs. time, the area under the graph is impulse.
Momentum
$\vec{p} = m \vec{v}$
$\vec{p}:$ momentum, in kilogram meters per second (kg∙m/s)
$m:$ mass, in kilograms (kg)
$\vec{v}:$ velocity, in meters per second (m/s)
Impulse
$\vec{J} = \vec{F} \Delta t = \Delta \vec{p} = m( \vec{v}_f  \vec{v}_i$)
$\vec{J}:$ impulse, in newton seconds (N∙s)
$\vec{F}:$ net force acting on an object, in newtons (N)
$\Delta t:$ the length of time for which the force acts, in seconds (s)
$\Delta \vec{p}:$change in momentum of an object, in kilogram meters per second (kg∙m/s)

Intro Lesson
Introduction to impulse and momentum:

1.
Impulse = $\bold{\vec{F}}$ ∙ $\bold{\Delta t = \Delta \vec{p}}$

2.
Impulse = $\bold{\vec{F}}$ ∙ $\bold{\Delta t = m(\vec{v}_f  \vec{v}_i )}$

4.
Impulse = area under $\bold{F\;\mathrm{vs}\; t}$ graph, during the time interval $\bold{\Delta t}$

5.
Momentum and Impulse in two dimensions