About elastic and inelastic collision

In summary, the conversation discusses the concept of inelastic collisions and the conditions that determine whether a collision is inelastic or not. While the text states that objects sticking together after collision is a sufficient condition for inelasticity, the instructor clarifies that it is not a necessary condition and that the conservation of kinetic energy is what ultimately determines the type of collision. The conversation also mentions the possibility of partially elastic or partially inelastic collisions when objects do not stick together but kinetic energy is not conserved.
  • #1
KFC
488
4
I am studying the collision from the text, in which they said inelastic collision is the case when two collide objects stick together after collision. But in the class, the instructor said two objects stuck together is not the sufficient condition for inelastic collision, we should figure out if the kinetic energy conserved or not. So which one is right and why?
 
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  • #2
KFC said:
I am studying the collision from the text, in which they said inelastic collision is the case when two collide objects stick together after collision. But in the class, the instructor said two objects stuck together is not the sufficient condition for inelastic collision, we should figure out if the kinetic energy conserved or not. So which one is right and why?

Neither, if you've quoted your instructor correctly (but I'd bet a fair amount that he didn't say "sufficient", he said "necessary", in which case he's right).

An elastic collision conserves kinetic energy; an inelastic collision does not.

If the colliding objects stick together, that's a sufficient but not a necessary condition for the collision to be inelastic.
 
  • #3
In other words, if the objects don't stick together, the collision may be either elastic or inelastic, depending on whether KE is conserved or not.

We sometimes call the case where the objects stick together "completely inelastic", and the cases where they don't stick together but KE is not conserved "partially elastic" or "partially inelastic".
 
  • #4
Thanks guys for your explanation.
 
  • #5


Both the text and the instructor are correct in their respective explanations of elastic and inelastic collisions. An inelastic collision is indeed defined as a collision in which two objects stick together after the collision. However, this is not the only criterion for determining if a collision is inelastic.

In an inelastic collision, the kinetic energy of the system is not conserved, meaning that some of the initial kinetic energy is lost during the collision. This can be due to the conversion of kinetic energy into other forms, such as heat or sound, or the deformation of the objects involved.

Therefore, in order to fully determine if a collision is inelastic, we must also consider the conservation of kinetic energy. If the kinetic energy is not conserved, then the collision is considered inelastic, regardless of whether the objects stick together or not.

In summary, both the sticking together of objects and the conservation of kinetic energy are important factors in determining if a collision is elastic or inelastic. It is important to consider both aspects when studying collisions in order to fully understand the dynamics of the system.
 

FAQ: About elastic and inelastic collision

1. What is the difference between an elastic and inelastic collision?

An elastic collision is when the total kinetic energy of the system is conserved before and after the collision, while an inelastic collision is when some of the kinetic energy is lost to other forms of energy such as heat or sound.

2. How do you calculate the coefficient of restitution for an elastic collision?

The coefficient of restitution is calculated by taking the ratio of the relative velocity of the two objects after the collision to the relative velocity before the collision.

3. What factors affect the outcome of an elastic or inelastic collision?

The mass, velocity, and elasticity of the objects involved in the collision all affect the outcome. The angle of collision and any external forces also play a role.

4. Can an inelastic collision be perfectly inelastic?

Yes, a perfectly inelastic collision is when the two objects stick together after the collision and move with a common final velocity. This occurs when the coefficient of restitution is equal to 0.

5. How are elastic and inelastic collisions used in real-world applications?

Elastic collisions are used in sports equipment such as ping pong balls and trampolines, while inelastic collisions are used in airbags and car safety features to reduce the impact force on passengers.

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