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The Newton's Second Law for a System of Particles Calculator will calculate:

- Net Force acting on a system of particles (at maximum 3 particles)
- Centre of mass of the system of particles
- Acceleration of the system of particles

The magnitude of acceleration of the system of particles is m/s^{2} |

Magnitude of acceleration of the system of particles calculation |
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a = √b/√c/da = √/√/a = //a = /a = |

Where b = (F_{1x} + F_{2x} + F_{3x} )^{2} + (F_{1y} + F_{2y} + F_{3y} )^{2} + (F_{1z} + F_{2z} + F_{3z} )^{2}c = (x _{1} × m_{1} + x_{2} × m_{2} + x_{3} × m_{3} )^{2} + (y_{1} × m_{1} + y_{2} × m_{2} + y_{3} × m_{3} )^{2} + (z_{1} × m_{1} + z_{2} × m_{2} + z_{3} × m_{3} )^{2}d = m _{1} + m_{2} + m_{3} |

Newtons Second Law For A System Of Particles Calculator Input Values |

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

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

Mass of the third object (m_{3}) kg |

x-position of the first object (x_{1}) m |

x-position of the second object (x_{2}) m |

x-position of the third object ( x_{3}) m |

y-position of the first object (y_{1}) m |

y-position of the second object (y_{2}) m |

y-position of the third object (y_{3}) m |

z-position of the first object (z_{1}) m |

z-position of the second object ( z_{2}) m |

z-position of the third object (z_{3}) m |

x - component of force acting on the first object (F_{1x}) N |

x - component of force acting on the second object (F_{2x}) N |

x - component of force acting on the third object (F_{3x}) N |

y - component of force acting on the first object (F_{1y}) N |

y - component of force acting on the second object (F_{2y}) N |

y - component of force acting on the third object (F_{3y}) N |

z - component of force acting on the first object (F_{1z}) N |

z - component of force acting on the second object (F_{2z}) N |

z - component of force acting on the third object (F_{3z}) N |

Please note that the formula for each calculation along with detailed calculations are available below. As you enter the specific factors of each newtons second law for a system of particles calculation, the Newtons Second Law For A System Of Particles Calculator will automatically calculate the results and update the Physics formula elements with each element of the newtons second law for a system of particles calculation. You can then email or print this newtons second law for a system of particles calculation as required for later use.

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a = *√***(F**_{1x} + F_{2x} + F_{3x} )^{2} + (F_{1y} + F_{2y} + F_{3y} )^{2} + (F_{1z} + F_{2z} + F_{3z} )^{2} */** √***(x**_{1} × m_{1} + x_{2} × m_{2} + x_{3} × m_{3} )^{2}

+ (y_{1} × m_{1} + y_{2} × m_{2} + y_{3} × m_{3} )^{2}

+ (z_{1} × m_{1} + z_{2} × m_{2} + z_{3} × m_{3} )^{2}*/**m*_{1} + m_{2} + m_{3}

+ (y

+ (z

If there are only two objects available, please leave the box of the third mass (i.e. m_{3}) empty.

If there are only two dimensions available, please leave the values of the third coordinate empty (i.e. z_{1}, z_{2} and z_{3}).

If there is any missing components of force, please leave them empty.

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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