Conservation of Momentum: Overview
Conservation of Momentum: Overview
1. Overview
If the impulse on a system is approximately zero, which occurs if the net force is very small or the duration of the force is very small, then the change in momentum is also approximately zero. That means that if you vectorially add up all the momentum in your system initially, it will equal the net momentum of the system finally. Mathematically this can be written as $\sum{\vec{p}_i} = \sum{\vec{p}_f}$. Applying momentum conservation when applicable will allow you to determine the motion of systems before and after collisions and other interesting scenarios.
Specific Learning Objectives
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- Introduce the definition of momentum conservation.
- Understand the conditions for which momentum is conserved, (i.e. no net external forces).
- Introduce center of mass.
- Be able to calculate the center of mass of different geometrical objects and system of objects.
- Demonstrate the ability to properly define a system and apply momentum conservation.
- Demonstrate the ability to read a problem, and then reflect upon what information is given to be able to determine what type of physics is relevant to the problem.
- Strengthen the ability to perform vector addition and subtraction.