Mathematical formulas

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Subjects
Basic Physics
Linear momentum, impulse and collisions
Elastic collision

7. Linear momentum, impulse and collisions

Elastic collision

In 7. Linear momentum, impulse and collisions

Momentum is conserved

m_{1} v_{1 i} + m_{2} v_{2 i} = m_{1} v_{1 f} + m_{2} v_{2 f}

and the kinetic energy

\frac{1}{2} m_{1} v_{1 i}^{2} + \frac{1}{2} m_{2} v_{2 i}^{2} = \frac{1}{2} m_{1} v_{1 f}^{2} + \frac{1}{2} m_{2} v_{2 f}^{2}

Related formulas

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Conservation of linear momentum
$\sum p_{i} = \sum p_{f}$
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Kinetic energy
$K = \frac{1}{2} m v^{2}$
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