Momentum & Impulse Lab
Simulate elastic and perfectly inelastic collisions. Adjust masses and velocities to verify conservation of momentum and compare kinetic energy before and after impact.
WHAT ARE MOMENTUM AND IMPULSE?
Linear momentum () is a measure of an object's motion, defined as the product of its mass and velocity (). It is a vector quantity, meaning direction matters. **Impulse** () is the change in momentum resulting from a force applied over a period of time. In AP Physics 1, the Impulse-Momentum Theorem states that the impulse delivered to an object is equal to its change in momentum: .
CONSERVATION OF MOMENTUM
In a closed system where no external net force acts, the total momentum remains constant: . This principle applies to all collisions, whether they are **elastic** (kinetic energy is conserved) or **inelastic** (kinetic energy is lost to heat/sound). In a **perfectly inelastic** collision, the objects stick together and move with a common final velocity.
HOW TO USE THIS VISUALIZATION
1. **Choose Collision Type**: Switch between Elastic and Inelastic modes. 2. **Adjust Mass and Velocity**: Change the parameters for Object 1 and Object 2. 3. **Run Simulation**: Observe the "Before" and "After" momentum vectors. Notice how the total momentum vector (sum of and ) remains unchanged.
CORE FORMULAS
AP EXAM CONNECTION
Unit: Unit 4: Linear Momentum (Topic 4.1-4.3)
Learning Objective: 4.2.1
COMMON MISCONCEPTIONS
- Thinking impulse and force are the same thing (impulse is force time).
- Forgetting that momentum is a vector (negative velocity means negative momentum).
- Assuming kinetic energy is always conserved (it is only conserved in perfectly elastic collisions).
KEY TAKEAWAYS
- Total momentum is conserved in any system with no net external force.
- Elastic collisions conserve both momentum and kinetic energy.
- Inelastic collisions conserve momentum but convert some kinetic energy to other forms.
- Impulse is the change in momentum: .
PRACTICE QUESTIONS
Q1 (QUANTITATIVE): A 2 kg block moving at 4 m/s collides with and sticks to a stationary 2 kg block. What is their final velocity?
Show Answer & Explanation
Answer: 2 m/s
Explanation: kg·m/s. Since they stick together, . Setting , m/s.