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## SS2: PHYSICS - 1ST TERM

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Lesson 9, Topic 4
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# Types of Collision

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There are two types of collision namely elastic and inelastic.

### Elastic Collision:

For elastic collision, the total momentum is conserved and the kinetic energy is also conserved.

Let us put into consideration two masses m1 and m2 moving with initial velocities u1 and u2 before collision and with final velocities v1 and v2 in the same direction after collision.

For a perfectly elastic collision, we can write an equation from the law of conservation of momentum and the law of conservation of kinetic energy.

The total momentum before and after collision:

m1U1 +m2U2 = m1V1 +m2V2

The kinetic energy before and after is

$$\scriptsize \frac{1}{2}m_1u_1^2 + \frac{1}{2}m_2u_2^2 = \frac{1}{2}m_1v_1^2 + \frac{1}{2}m_2v_2^2$$

### Inelastic Collision:

In an inelastic collision, the total momentum is conserved but the kinetic energy varies i.e. is not conserved. This occurs when two colliding bodies stick together after collision and move with a common velocity.

m1U1 + m2U2 = (m1+m2)V

K.e = $$\scriptsize \frac{1}{2}m_1u_1^2 + \frac{1}{2}m_2u_2^2 = \frac{1}{2}(m_1 + m_2)V^2$$

For a completely inelastic collision, the kinetic energy before collision is greater than the kinetic energy after collision.

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