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The Conservation of Momentum in 1-D Calculator will calculate:

- Final velocity of the second object in an elastic collision when masses, initial velocities and final velocity of the first object are given
- Final velocity of a system in an inelastic collision when masses and initial velocities of the objects involved are given
- Final velocity of the second piece after an explosion when mass and initial velocity of the original object as well as mass of the first piece and its velocity after the explosion are given

The final velocity of the second object in an elastic collision is |

The final velocity of a system in an inelastic collision is |

The final velocity of the second piece after an explosion is |

Final velocity of the second object in an elastic collision calculation |
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v⃗_{2} = m_{1} × v⃗_{01} + m_{2} × v⃗_{02} - m_{1} × v⃗_{1}/m_{2}v ⃗_{2} = × + × - × /v ⃗_{2} = /v ⃗_{2} = |

Final velocity of a system in an inelastic collision calculation |

v⃗ = m_{1} × v⃗_{01} + m_{2} × v⃗_{02}/m_{1} + m_{2}v ⃗ = × + × / + v ⃗ = /v ⃗ = |

Final velocity of the second piece after an explosion calculation |

v⃗_{2(e)} = M × v⃗_{0} - m_{1} × v⃗_{1(e)}/m_{2}v ⃗_{2(e)} = × - × /v ⃗_{2(e)} = /v ⃗_{2(e)} = |

Input Values |

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

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

Mass of the original object before explosion (M) kg |

Initial velocity of the first object (v⃗_{01}) m/s |

Initial velocity of the second object (v⃗_{02}) m/s |

Initial velocity of system before explosion (v⃗_{0}) m/s |

Final velocity of the first object after an elastic collision or explosion (v⃗_{1(e)}) 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 1 d calculation, the Conservation Of Momentum In 1 D Calculator will automatically calculate the results and update the Physics formula elements with each element of the conservation of momentum in 1 d calculation. You can then email or print this conservation of momentum in 1 d calculation as required for later use.

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Each calculation of the associated formulas in the Conservation of Momentum in 1-D Calculator is applicable to the specific situation defined, ensure you pay close attention to the values you enter into the Conservation of Momentum in 1-D Calculator.

Masses, initial velocities and final velocity of the first object are required to complete this calculation

v*⃗*_{2} = *m*_{1} × v*⃗*_{01} + m_{2} × v*⃗*_{02} - m_{1} × v*⃗*_{1}*/**m*_{2}

Masses and initial velocities of the objects involved are required to complete this calculation

v*⃗* = *m*_{1} × v*⃗*_{01} + m_{2} × v*⃗*_{02}*/**m*_{1} + m_{2}

The mass and initial velocity of the original object as well as the mass of the first piece and its velocity after the explosion are required to complete this calculation

v*⃗*_{2(e)} = *M × v**⃗*_{0} - m_{1} × v*⃗*_{1(e)}*/**m*_{2}

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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