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Does anyone know the equations for 2D elastic collisions.

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Does anyone know the equations for 2D elastic collisions.

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Galileo

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jtbell

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[tex]m_1 v_1 \cos \theta_1 + m_2 v_2 \cos \theta_2 = m_1 v_1^\prime \cos \theta_1^\prime + m_2 v_2^\prime \cos \theta_2^\prime[/tex]

[tex]m_1 v_1 \sin \theta_1 + m_2 v_2 \sin \theta_2 = m_1 v_1^\prime \sin \theta_1^\prime + m_2 v_2^\prime \sin \theta_2^\prime[/tex]

Conservation of energy:

[tex]\frac{1}{2} m_1 v_1^2 + \frac{1}{2} m_2 v_2^2 = \frac{1}{2} m_1 {v_1^\prime}^2 + \frac{1}{2} m_2 {v_2^\prime}^2 + Q[/tex]

where [itex]Q[/itex] is the amount of kinetic energy lost in the collision (to "heat" or whatever). For an elastic collision, [itex]Q = 0[/itex].

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I would appreciate it if you could point me to any information that could help me to better understand it. I would also like any information on 3D collisions as well. The reason i'm trying to get this information is to write a computer program that simulates collisions.

- #5

Galileo

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I remember a neat way to solve 2D collision problems geometrically. Google for Newton diagrams.

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