Center of Mass, Momentum, Impulse, and Collisions

Center of Mass

It is the location in space where a force that is applied to the system will make it move without tendency to rotate

Geometric center

On solving the center of mass of an object, the geometric center must be first located

Geometric center

It is also known as the physical center of the object

1. The masses that constitutes objects of the system

2. The location of the objects in arbitrary coordinate system

2 factors to determine center of mass

uniform composition (homogeneous)

A system that has ____, has its geometric center as its center of mass

force

When force is applied to the center of mass, the object as a system of particles moves in the direction of ____ without rotating

center of mass

No matter what the shape of the object, this helps understand the mechanism of force and motion of that object

Momentum

It is the product of mass and velocity

Momentum

Sometimes called inertia in motion

Momentum

It combines the idea of inertia and motion

kg m/s

Unit of Momentum

Impulse

It is the product of force that acts on a body at a given time

Newton seconds

Unit of Impulse

Impulse-Momentum Theorem

It states that when a force acts on the body it produces a change in momentum

Law of Conservation of Linear Momentum

It states that in an isolated system where the external net force is zero, the total momentum of the system is constant

1. Explosion

2. Man and Boat System

2 forms of Conservation

Collision

It is when two or more bodies collide or interact with each other

1. Perfectly Inelastic Collision

2. Elastic Collision

3. Inelastic Collision

3 types of Collision