Inelastic Collision Calculator

Calculate Parameters for Inelastic Collisions

ChemistryCalculatorHub.info

Perfectly Inelastic Collision Calculator

Find the final speed and how much energy is lost when two objects stick together after a collision. This is a key concept in physics for understanding impacts.

Results will appear here

Energy Loss Calculator

Calculate the amount of kinetic energy that turns into other forms (like heat or sound) during an inelastic collision. Understand the energy changes in impacts.

Energy loss will appear here

Coefficient of Restitution Calculator

Determine how "bouncy" a collision is by calculating the coefficient of restitution. This value tells you if a collision is elastic, inelastic, or somewhere in between.

Coefficient will appear here

Understanding Inelastic Collisions in Physics

What is an Inelastic Collision?

An inelastic collision is a type of collision where objects hit each other, and some of their movement energy (kinetic energy) is lost. This lost energy usually turns into other forms like heat, sound, or changes the shape of the objects. Even though kinetic energy isn't conserved, the total momentum of the system is always conserved in an inelastic collision. Think of a car crash where the cars crumple and make noise – that's an inelastic collision!

Perfectly Inelastic Collisions

A perfectly inelastic collision is a special type of inelastic collision where the colliding objects stick together and move as one single mass after the impact. In these collisions:

  • The objects combine and move together after they hit.
  • This type of collision results in the maximum possible loss of kinetic energy.
  • Both objects will have the same final velocity after they stick.
  • Just like all collisions, the total momentum is conserved.

Conservation of Momentum

One of the most important rules in physics is the conservation of momentum. This means that in any collision (elastic or inelastic), the total momentum of the system before the collision is equal to the total momentum after the collision. Momentum is a measure of an object's mass in motion.

m₁v₁ᵢ + m₂v₂ᵢ = (m₁ + m₂)vf

This formula helps us find the final velocity (vf) when two objects (masses m₁ and m₂) with initial velocities (v₁ᵢ and v₂ᵢ) stick together.

Kinetic Energy Loss

In an inelastic collision, some of the initial kinetic energy is transformed. This kinetic energy loss is a key characteristic. Our calculator helps you find exactly how much energy is "lost" or converted into other forms during the impact.

ΔE = ½m₁v₁ᵢ² + ½m₂v₂ᵢ² - ½(m₁ + m₂)vf²

This formula calculates the change in kinetic energy (ΔE), showing the difference between the initial kinetic energy (KEᵢ) and the final kinetic energy (KEf).

Coefficient of Restitution (e)

The coefficient of restitution (e) is a number that tells us how "bouncy" a collision is. It ranges from 0 to 1:

  • e = 1: This means the collision is perfectly elastic. No kinetic energy is lost, and objects bounce off each other perfectly (like an ideal superball).
  • 0 < e < 1: This indicates a partially inelastic collision. Some kinetic energy is lost, and objects don't stick together but don't bounce perfectly either (most real-world collisions).
  • e = 0: This signifies a perfectly inelastic collision. The maximum kinetic energy is lost, and the objects stick together after impact.

Essential Inelastic Collision Formulas

Final Velocity (Perfectly Inelastic)

vf = (m₁v₁ᵢ + m₂v₂ᵢ)/(m₁ + m₂)

Energy Loss

ΔE = KEᵢ - KEf

Coefficient of Restitution

e = -(v₂f - v₁f)/(v₂ᵢ - v₁ᵢ)