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Net Momentum Calculator Equation

Net Momentum Formula:

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

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 calculated by multiplying each object's mass by its velocity and summing these products.

Purpose: This calculator helps physics students and professionals determine the total momentum of a system, which is crucial for analyzing collisions and other dynamic systems.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: For each object, multiply its mass by its velocity (including direction - positive/negative values), then sum all these values to get the net momentum.

3. Importance of Net Momentum

Details: Net momentum is conserved in closed systems, making it fundamental for analyzing collisions, explosions, and other physical interactions.

4. Using the Calculator

Tips: Enter masses in kg and velocities in m/s. Use positive/negative values to indicate direction. At least one mass-velocity pair is required.

5. Frequently Asked Questions (FAQ)

Q1: How do I represent direction in velocity?
A: Use positive values for one direction and negative values for the opposite direction.

Q2: What if I have more than two objects?
A: Calculate the momentum for each additional object separately and add it to the result.

Q3: What units should I use?
A: The calculator uses kg for mass and m/s for velocity, resulting in kg·m/s for momentum.

Q4: Is net momentum always conserved?
A: In closed systems with no external forces, yes. Otherwise, external forces can change the net momentum.

Q5: What does a zero net momentum mean?
A: It means the system is either at rest or all momenta cancel each other out.

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