Elastic Collision (1D)

v_1' = \frac{m_1 - m_2}{m_1 + m_2}v_1 + \frac{2m_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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