Collision Formula Sheet
Collision is an important concept in physics, especially in the study of momentum and energy. Here is a formula sheet to help you understand and solve problems related to collisions.

Types of Collisions
- Elastic Collision: When both momentum and kinetic energy are conserved.
- Inelastic Collision: When only momentum is conserved but kinetic energy is not.

Conservation of Momentum
- In a collision, the total momentum before the collision is equal to the total momentum after the collision.
- Mathematically, this can be expressed as:
\[m1u1 + m2u2 = m1v1 + m2v2\]
where m1, m2 are the masses of the objects, u1, u2 are the initial velocities, and v1, v2 are the final velocities.

Conservation of Kinetic Energy
- In an elastic collision, the total kinetic energy before the collision is equal to the total kinetic energy after the collision.
- Mathematically, this can be expressed as:
\[\frac{1}{2}m1u1^2 + \frac{1}{2}m2u2^2 = \frac{1}{2}m1v1^2 + \frac{1}{2}m2v2^2\]

Coefficient of Restitution
- The coefficient of restitution (e) is a measure of how much kinetic energy is conserved in a collision.
- It is defined as:
\[e = \frac{Relative\,velocity\,after\,collision}{Relative\,velocity\,before\,collision}\]

Impulse
- Impulse is the change in momentum of an object during a collision.
- It is given by the formula:
\[Impulse = Force \times Time = Change\,in\,Momentum\]
Understanding and applying these formulas will help you analyze and solve problems related to collisions in physics.