# Inelastic Collision Formula

## Inelastic Collision Formula

Such a collision between two objects, in which some energy is wasted, is known as an inelastic collision. Momentum is conserved in the event of an inelastic collision, but kinetic energy is not. In daily life, most collisions are of an inelastic kind.

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### Inelastic Collision Formula

Solid item collisions frequently happen in day-to-day existence. The principles of motion and the rules of momentum conservation govern this collision. In such a collision, the system’s kinetic energy is not preserved, but its momentum is. Any collision between objects when some energy is lost as a result is referred to as an Inelastic Collision Formula. This is also known as the perfectly inelastic collision.

### Concept of inelastic collision:

Such a collision between two items is referred to as an Inelastic Collision Formula. There will also be some energy lost. While kinetic energy is not conserved in these inelastic collision scenarios, momentum is always conserved. The majority of collisions have an inelastic character.

### Perfectly Inelastic Collision:

A perfectly Inelastic Collision Formula is a specific case of inelastic collisions. Additionally, two items cling together after colliding. For instance, a wet mud ball will attach to a wall when tossed against it.

The conservation of momentum is individually applied along each axis in a two-dimensional Inelastic Collision Formula. Since the conservation of momentum is a vector equation, only one such equation exists. There will only be one conservation of energy equation as well.

### The formula for Inelastic collision:

The Inelastic Collision Formula looks like this: Mass of object 1 × initial velocity 1 + Mass of object 1 × initial velocity 1 = (Mass of 1 + mass of 2) × final velocity of combined objects)

### Solved Examples

1. Compute the final velocity if an object of mass 2 Kg with an initial velocity of 3 ms-1 hits another object of mass 3 Kg at rest. (Collision is inelastic)

m1 (Mass)= 2 Kg, m2(Mass) = 3 Kg, u1 (Initial Velocity of first mass)= 3 ms-1 and u2 (Initial velocity of second mass) = 0. Moreover, while putting the Inelastic Collision Formula the answer is v = 1.2 m/s.

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