Momentum and Conservation of Momentum
Learning Objectives
- Students will understand momentum as a fundamental quantity in physics
- Students will apply conservation of momentum in isolated systems
- Students will calculate momentum changes and solve collision problems
Core Concepts
- Momentum: p = mv (product of mass and velocity)
- Momentum is conserved in isolated systems
- Total momentum before equals total momentum after
Formulas
$$p = mv$$
Momentum equals mass times velocity
$$p_{before} = p_{after}$$
Conservation of momentum in isolated system
$$m_1 v_{1i} + m_2 v_{2i} = m_1 v_{1f} + m_2 v_{2f}$$
Momentum conservation for two objects
Units
| kilogram-meter per second | kg·m/s |
Interesting Fact
Momentum conservation applies to all scales, from subatomic to astronomical
Key Scientist
Isaac Newton
Momentum (quantity of motion) was Newton's primary formulation
Ancient Wisdom
The principle of karma and cosmic balance: actions have consequences that ripple through the universe, preserving total 'momentum' or consequence.
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