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

- Velocity components of the second object in each direction after a 2-D elastic collision
- Magnitude of final velocity of the second object for an elastic collision in 2 dimension
- Angle formed by velocity of the second object to the initial direction after collision in 2-D

The velocity components of the second object in each direction after a 2-D elastic collision are: x-component of final velocity = m/sy-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 |
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## x-component of final velocity formulav⃗_{2(x)} = m_{1} × v⃗_{01(x)} + m_{2} × v⃗_{02(x)} - m_{1} × v⃗_{1(x)}/m_{2}v ⃗_{2(x)} = × + × - × /v ⃗_{2(x)} = /v ⃗_{2(x)} = ## y-component of final velocity formulav⃗_{2(y)} = m_{1} × v⃗_{01(y)} + m_{2} × v⃗_{02(y)} - m_{1} × v⃗_{1(y)}/m_{2}v ⃗_{2(y)} = × + × - × /v ⃗_{2(y)} = /v ⃗_{2(y)} = |

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

|v⃗_{2}| = √v + V^{2}_{2(x)}^{2}_{2(y)}|v ⃗_{2}| = √^{2} + ^{2}|v ⃗_{2}| = √ + |v ⃗_{2}| = √|v ⃗_{2}| = |

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

θ = tan^{-1}v⃗_{2(y)}/v⃗_{2(x)}θ = tan ^{-1}/θ = tan ^{-1}θ = |

Input Values |

Mass of the first object (m_{1}) kg |

Mass of the second object (m_{2}) kg |

Initial velocity of first object in x-direction (v⃗_{01(x)}) m/s |

Initial velocity of second object in x-direction (v⃗_{02(x)}) m/s |

Initial velocity of first object in y-direction (v⃗_{01(y)}) m/s |

Initial velocity of second object in y-direction (v⃗_{02(y)}) m/s |

Final velocity of first object in x-direction (v⃗_{1(x)}) m/s |

Final velocity of first object in y-direction (v⃗_{1y)}) 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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|v*⃗*_{2}| = √**v**^{2}_{2(x)} + V^{2}_{2(y)}

θ = tan^{-1}*v**⃗*_{2(y)}*/**v**⃗*_{2(x)}

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.

- 6.1 - Centre of Mass. Types of Equilibrium
- 6.2 - Determining the Centre of Mass in Objects and Systems of Objects
- 6.3 - Newton's Second Law for System of Particles
- 6.4 - Moment of Force. Conditions of Equilibrium
- 6.5 - Linear Momentum
- 6.6 - Collision and Impulse. Types of Collision
- 6.7 - Law of Conservation of Momentum and Kinetic Energy
- 6.8 - Momentum and Impulse in Two Dimensions. Explosions.
- 6.9 - Torque

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