Is Momentum Conservation Sufficient for Elastic Collisions?

In summary, an elastic collision is a type of collision where there is no loss of kinetic energy between two objects. Momentum, which is a measure of an object's motion, is conserved in an elastic collision according to the law of conservation of momentum. This is different from inelastic collisions where some kinetic energy is lost and the objects may stick together after the collision. The coefficient of restitution, a measure of elasticity, is equal to 1 in an elastic collision.
  • #1
mike2007
46
0
If momentum is conserved in a collision. Does this indicate conclusively that the collision is elastic?

This is what i concluded but i think i am wrong

No, it does not indicate that the collision is conclusively elastic. For an elastic collision to occur both the law of conservation of momentum and the conservation of kinetic energy has to be observed.

Is that true or am i wrong..
 
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  • #2
Correct. For a perfectly Elastic Collision, the total Initial Kinetic Energy in the system must equal the total Kinetic Energy after the Collision.
 
  • #3


Your conclusion is correct. In an elastic collision, both the law of conservation of momentum and the conservation of kinetic energy must be observed. If only the law of conservation of momentum is observed, it could indicate that the collision is inelastic or partially elastic. To determine if a collision is truly elastic, both momentum and kinetic energy must be conserved.
 

FAQ: Is Momentum Conservation Sufficient for Elastic Collisions?

What is an elastic collision?

An elastic collision is a type of collision between two objects in which there is no loss of kinetic energy. This means that the total kinetic energy of the system before and after the collision remains the same.

What is momentum?

Momentum is a measure of an object's motion and is calculated by multiplying its mass by its velocity. It is a vector quantity, meaning it has both magnitude and direction.

How is momentum conserved in an elastic collision?

In an elastic collision, the total momentum of the system before the collision is equal to the total momentum after the collision. This is known as the law of conservation of momentum.

What is the difference between elastic and inelastic collisions?

In an elastic collision, there is no loss of kinetic energy and the objects bounce off each other. In an inelastic collision, some of the kinetic energy is lost and the objects stick together after the collision.

How is the coefficient of restitution related to elastic collisions?

The coefficient of restitution is a measure of the elasticity of a collision. It is the ratio of the relative velocity of the objects after the collision to the relative velocity before the collision. In an elastic collision, the coefficient of restitution is equal to 1.

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