Momentum is defined by vector, p , such that it is the same as the product of mass and velocity p = mv
- This is the linear momentum, being a vector.
- Given the units being kg m/s
- By Newton’s 2nd law
- This general form includes the resulting from and
- vector sum of each individual momenta for any x particles in the system
- Any system that is not acted upon by an external force is an isolated system
- Given Internal Forces – within the system
- Given External Forces – from outside the system
- Provided that external forces cannot change the total momentum of the system
- If the system is isolated
- Which the linear momentum is conserved (constant)
Elastic vs Inelastic Collision
Total kinetic energy of the system after the collision is equal to the total kinetic energy before the collision being Elastic
For the kinetic energy to be different of the initial and the final, it is Inelastic; If the objects stick together after colliding, the collision is Completely Inelastic
Impulse, J, of a force is the product of the avg force, F, and the time interval being a vector quantity in the direction as F
Impulse – Momentum Theorum
F = ma
Center of Mass
The center of mass is a point that represents the average location for the total mass of the system.
For - Provides the velocity with a center of mass
The 2 equations above can be dealt with more elements so we know the total momentum of any object(s) is the product of the total mass and the velocity of the center of mass.
- P is conserved at any moment
- Acceleration of center of mass: