## 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. Momentum

### 2.1. Vector quanity

### 2.2. For momentum to be Conserved these things must be constant

2.2.1. Magnitude

2.2.2. 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. System of Particles

### 4.1. Center of Mass

4.1.1. Average location of the mass in a system of particles

4.1.2. 3D in general

4.1.3. Motion of the Center of Mass

4.1.4. Isolated system moves at a constant velocity