Conservation of Momentum Calculator

Formula

To calculate the final velocity using the conservation of momentum:

\[ M1 \cdot V1 = M2 \cdot V2 \]

Where:

\( M1 \) is the mass of object 1
\( V1 \) is the change in velocity of object 1
\( M2 \) is the mass of object 2
\( V2 \) is the change in velocity of object 2

What is Conservation of Momentum?

Conservation of momentum is a law of physics that states momentum must be conserved in a closed system. In other words, momentum cannot be changed in a closed system unless acted on by an outside force.

Example Calculation

Let's assume the following values:

Mass of Object 1 \( M1 \) = 5 kg
Change in Velocity of Object 1 \( V1 \) = 2 m/s
Mass of Object 2 \( M2 \) = 3 kg
Change in Velocity of Object 2 \( V2 \) = 4 m/s

Step 1: Calculate the total momentum:

\[ M1 \cdot V1 + M2 \cdot V2 = 5 \cdot 2 + 3 \cdot 4 = 10 + 12 = 22 \text{ kg·m/s} \]

So, the total momentum is 22 kg·m/s.