Elastic Collision (1D)

v_{1}^{'} = \frac{m _{1} - m _{2}}{m _{1} + m _{2}} v_{1} + \frac{2 m _{2}}{m _{1} + m _{2}} v_{2}

Final velocity after elastic collision where KE is conserved.

Variables

v₁'

Final velocity of object 1

After collision

m/s

m₁

Mass of object 1

First object mass

m₂

Mass of object 2

Second object mass

v₁

Initial velocity of object 1

Before collision

m/s

v₂

Initial velocity of object 2

Before collision

m/s

Solve conservation of momentum and KE simultaneously.

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