# Conservation of Momentum in 2-D Calculator

The Conservation of Momentum in 2-D Calculator will calculate:

1. Velocity components of the second object in each direction after a 2-D elastic collision
2. Magnitude of final velocity of the second object for an elastic collision in 2 dimension
3. Angle formed by velocity of the second object to the initial direction after collision in 2-D
 🖹 Normal View🗖 Full Page View Calculator Precision (Decimal Places)0123456789101112131415 Mass of the first object (m1) kg Mass of the second object (m2) kg Initial velocity of first object in x-direction (v⃗01(x)) m/s Initial velocity of second object in x-direction (v⃗02(x)) m/s Initial velocity of first object in y-direction (v⃗01(y)) m/s Initial velocity of second object in y-direction (v⃗02(y)) m/s Final velocity of first object in x-direction (v⃗1(x)) m/s Final velocity of first object in y-direction (v⃗1y)) m/s
Conservation of Momentum in 2-D Calculator Results (detailed calculations and formula below)
The velocity components of the second object in each direction after a 2-D elastic collision are:
x-component of final velocity = m/s
y-component of final velocity = m/s
The magnitude of final velocity of the second object for an elastic collision in 2 dimension Formula is m/s
The angle formed by velocity of the second object to the initial direction after collision in 2-D is °
Velocity components of the second object in each direction after a 2-D elastic collision Formula and Calculation

### x-component of final velocity formula

v2(x) = m1 × v01(x) + m2 × v02(x) - m1 × v1(x)/m2
v2(x) = × + × - × /
v2(x) = /
v2(x) =

### y-component of final velocity formula

v2(y) = m1 × v01(y) + m2 × v02(y) - m1 × v1(y)/m2
v2(y) = × + × - × /
v2(y) = /
v2(y) =
The magnitude of final velocity of the second object for an elastic collision in 2 dimension Calculation
|v2| = √v22(x) + V22(y)
|v2| = √2 + 2
|v2| = √ +
|v2| = √
|v2| =
The angle formed by velocity of the second object to the initial direction after collision in 2-D Calculation
θ = tan-1v2(y)/v2(x)
θ = tan-1/
θ = tan-1
θ =
Input Values
Mass of the first object (m1) kg
Mass of the second object (m2) kg
Initial velocity of first object in x-direction (v01(x)) m/s
Initial velocity of second object in x-direction (v02(x)) m/s
Initial velocity of first object in y-direction (v01(y)) m/s
Initial velocity of second object in y-direction (v02(y)) m/s
Final velocity of first object in x-direction (v1(x)) m/s
Final velocity of first object in y-direction (v1y)) m/s

Please note that the formula for each calculation along with detailed calculations are available below. As you enter the specific factors of each conservation of momentum in 2 d calculation, the Conservation Of Momentum In 2 D Calculator will automatically calculate the results and update the Physics formula elements with each element of the conservation of momentum in 2 d calculation. You can then email or print this conservation of momentum in 2 d calculation as required for later use.

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Section 3: Kinematics

Section 4: Dynamics

## Velocity components of the second object in each direction after a 2-D elastic collision Formula and Calculation

### x-component of final velocity formula

v2(x) = m1 × v01(x) + m2 × v02(x) - m1 × v1(x)/m2

### y-component of final velocity formula

v2(y) = m1 × v01(y) + m2 × v02(y) - m1 × v1(y)/m2

## The magnitude of final velocity of the second object for an elastic collision in 2 dimension Formula and Calculation

|v2| = √v22(x) + V22(y)

## The angle formed by velocity of the second object to the initial direction after collision in 2-D Formula and Calculation

θ = tan-1v2(y)/v2(x)

## Centre of Mass and Linear Momentum Physics Tutorials associated with the Conservation Of Momentum In 2 D Calculator

The following Physics tutorials are provided within the Centre of Mass and Linear Momentum section of our Free Physics Tutorials. Each Centre of Mass and Linear Momentum tutorial includes detailed Centre of Mass and Linear Momentum formula and example of how to calculate and resolve specific Centre of Mass and Linear Momentum questions and problems. At the end of each Centre of Mass and Linear Momentum tutorial you will find Centre of Mass and Linear Momentum revision questions with a hidden answer that reveals when clicked. This allows you to learn about Centre of Mass and Linear Momentum and test your knowledge of Physics by answering the test questions on Centre of Mass and Linear Momentum.

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