Enter the mass and initial velocity of two different objects undergoing an elastic collision. The calculator will calculator the final velocities of each object and the total kinetic energy.

- Conservation of Momentum Calculator
- Elastic Potential Energy Calculator
- Horizontal Projectile Motion Calculator

## Elastic Collision Formula

The following formula is used to calculate the velocities of two objects after an elastic collision.

m1·vi1 + m2·vi2 = m1·vf1 + m2·vf2

vf1 = [(m1 – m2)·vI1 + 2 m2·vI2]/(m1 + m2)

vf2 = [2 m1·vI1 – (m1 – m2)·vI2]/(m1 + m2)

- Where M1 and M2 are the masses of the objects
- VI and VF are the initial and final velocities respect of the obejcts.

The first formula above is derived from the law of conservation of momentum. We can derive these formulas because elastic collisions conserve energy and therefore conserve momentum.

How to calculate an elastic collision

**First, determine the masses of each object**Measure the masses of object 1 and 2 using an accurate scale or formula.

**Next, measure the initial velocities of each object**Using a speed radar or another formula, calculate the initial velocities of the object.

**Calculate the final velocities**Using the two formulas above, and then information measured in steps 1 and 2, calculate the final velocities of the objects after an elastic collision.

## FAQ

**What is an elastic collision?**

An elastic collision is a collision of 2 or more objects in which the object react perfectly elastically. This means that conservation of momentum and energy are both conserved before and after the collision.

## Related Terms

elastic collision calculator |

elastic collision formula |

elastics collision equation |

how to calculate elastic collision |

elastic collision equation |

perfectly elastic collision formula |

elastic collision formula derivation |

elastic and inelastic collisions equations |

elastic collision formula final velocity |

elastic and inelastic collision formula |

elastic momentum equation |

elastic collision velocity formula |

elastic and inelastic collisions formula |

perfectly elastic collision equation |

elastic kinetic energy formula |

perfectly inelastic equation |

head on elastic collision formula |

physics elastic collision formula |

elastic collision momentum formula |

elastic collision formula physics |

elastic collision in one dimension formula derivation |

kinetic energy after collision formula |

elastic and inelastic equations |

velocity after elastic collision formula |

equation for perfectly elastic collision |

2d elastic collision formula |

elastic collision equation derivation |

collision formula elastic |

perfectly elastic collision calculator |

non elastic collision formula |

formula for perfectly elastic collision |

elastic collision and inelastic collision formula |

kinetic energy before collision formula |

formula for elastic and inelastic collision |

inelastic equations |

elastic collision calculator 2d |

kinetic energy conservation equation |

2d elastic collision calculator |

elastic collision in one dimension formula |

elastic collision formula examples |

formula for final velocity in elastic collisions |

inelastic and elastic collision formula |

deriving elastic collision equation |

how to find final velocity in an elastic collision |

equations for elastic and inelastic collisions |

3d elastic collision formula |

elastic inelastic collision formula |