## 1. Linear Momentum

### 1.1. vector Quanity having same direction as the velocity

### 1.2. The vector of p = mass times the vector of velocity

### 1.3. The momentum and changes of two objects are always equal and opposite

## 2. Simple Momentum

### 2.1. Vector quanity

### 2.2. For momentum to be Conserved

2.2.1. Constant Magnitude

2.2.2. Constant Direction

### 2.3. Mass and velocity involved

### 2.4. Conservation

2.4.1. If no external force acts on system, the initial momentum of the system is equal to the final momentum of the system.

## 3. Collisions

### 3.1. Completely Inelastic

3.1.1. “Perfect Sticking”

3.1.2. Conservation of only momentum

3.1.3. m1v1i +m2v2i = (m1 +m2 )vf

### 3.2. Inelastic

3.2.1. “Sticky” but the bodies do not stick together

3.2.2. Conservation of momentum only

### 3.3. Elastic

3.3.1. “Perfect bouncing”

3.3.2. Conservation of kinetic energy and momentum

3.3.3. m1v1i +m2v2i = m1v1f +m2v2f

## 4. Solving for quantities in collisions

### 4.1. Sketch before and after diagrams

### 4.2. Collect and organize data of all the masses and velocities

### 4.3. Set the sum of momenta of the two before the collision = to the sum of the momenta after the collision

### 4.4. Write one equation for each direction

### 4.5. If perfectly inelastic set final velocities equal

### 4.6. If perfectly elastic set final kinetic energy equal to initial kinetic energy

### 4.7. Solve for unknown quantities

## 5. Motion

### 5.1. Newton's 1st law of motion

### 5.2. Newton's 2nd law of motion

### 5.3. Newton's 3rd law of motion

### 5.4. Dynamic Systems

5.4.1. which include

5.4.1.1. rockets, garden sprinklers