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Net Momentum Calculator Math

Net Momentum Formula:

\[ p = \sum (m_i \times v_i) \]

p = Net momentum (kg·m/s)
m_i = Mass of object i (kg)
v_i = Velocity of object i (m/s)

kg
m/s
kg
m/s

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1. What is Net Momentum?

Definition: Net momentum is the vector sum of the momenta of all objects in a system. It's a conserved quantity in physics.

Purpose: This calculator helps determine the total momentum of a system of two objects, which is fundamental in analyzing collisions and interactions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ p = \sum (m_i \times v_i) \]

Where:

Explanation: The momentum of each object is calculated separately (mass × velocity) and then summed to get the net momentum of the system.

3. Importance of Momentum Calculation

Details: Momentum calculations are essential in physics for understanding collisions, explosions, and motion conservation principles.

4. Using the Calculator

Tips: Enter the mass and velocity for each object. Remember that velocity can be positive or negative to indicate direction.

5. Frequently Asked Questions (FAQ)

Q1: What if the objects are moving in opposite directions?
A: Use negative values for velocity in the opposite direction. The calculator will account for this in the net momentum.

Q2: Can I add more than two objects?
A: This calculator handles two objects. For more objects, you would need to sum the momentum of each additional object.

Q3: What units should I use?
A: Use kilograms for mass and meters per second for velocity to get momentum in kg·m/s.

Q4: Is momentum conserved in all situations?
A: Momentum is conserved in closed systems with no external forces. In real-world scenarios, external forces like friction may affect conservation.

Q5: How does this relate to impulse?
A: Impulse equals the change in momentum (J = Δp). This calculator gives you the total momentum before or after an interaction.

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