**Two Dimensional Collision Physics or Oblique Collision Definition:**

If the initial and final velocities of colliding bodies do not lie along the same line, then the collision is called two dimensional or oblique collision.

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## Collisions in Two Dimensions | Definition, Formulas – Work, Energy and Power

**In horizontal direction,**

m_{1}u_{1} cos α_{1} + m_{2}u_{2} cos α_{2} = m_{1}v_{1} cos β_{1} + m_{2}v_{2} cos β_{2}

**In vertical direction,**

m_{1}u_{1} sin α_{1} – m_{2}u_{2} sin α_{2} = m_{1}v_{1} sin β_{1} – m_{2}v_{2} sin β_{2}

If m_{1} = m_{2} and

α_{1} + α_{2} = 90°

then

β_{1} + β_{2} = 90°

If a particle A of mass m_{1} is moving along X-axis with a speed u and makes an elastic collision with another stationary body B of mass m_{2}, then

From conservation law of momentum,

m_{1}u = m_{1}v_{1} cos α + m_{2}v_{2} cos β

0 = m_{1}v_{1} sin α – m_{2}v_{2} sin β

**Work, Energy and Power:**

Work, energy and power are the three quantities which are inter-related to each other. The rate of doing work is called power. An equal amount of energy is consumed to do a work. So, basically the power is the rate at which energy is consumed to complete a work.

Work | Energy |

Conservation of Energy | Power |

Collisions | Elastic and Inelastic Collisions in One Dimension |

Collisions in Two Dimensions |