Elastic or not? Billiard ball colliding with another

In this case, the collision is not elastic because the final velocity of the first billiard ball is less than its initial velocity. Therefore, there is a loss of energy during the collision.In summary, the conversation discusses an elastic collision between two billiard balls, with one ball moving towards a stationary ball at a velocity of 12.5m/s and resulting in the first ball moving off at an angle of 29.7° with a velocity of 9.56m/s. It is determined that the collision is not elastic due to a loss of energy during the collision.
  • #1
aeromat
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Homework Statement


Billiard ball with mass 0.155kg moves with a velocity of 12.5m/s towards a stationary billiard ball. Assume they both have identical masses. The first billiard ball moves off at an angle of 29.7° clockwise after hitting the stationary one, with a velocity of 9.56m/s. Determine whether the collision was elastic?


Homework Equations





The Attempt at a Solution


Ok the main thing I need to ask is this: is the energy conserved independent for each dimension, in this case, x and y have diff. kinetic energy conservations?
 
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  • #2
What you'd need to do is find the velocity of the second ball and then check to see if KE before is the same as KE after.
 
  • #3
aeromat said:
Ok the main thing I need to ask is this: is the energy conserved independent for each dimension, in this case, x and y have diff. kinetic energy conservations?

Kinetic energy is conserved irrespective of dimension if it is an elastic collision
 

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

An elastic collision is a type of collision where the total kinetic energy of the system remains conserved, meaning that no energy is lost during the collision. In contrast, a non-elastic collision is a type of collision where some of the kinetic energy is converted into other forms of energy, such as heat or sound.

2. How can you tell if a collision is elastic or not?

To determine if a collision is elastic or not, you can calculate the total kinetic energy of the system before and after the collision. If the total kinetic energy remains the same, then the collision is elastic. If the total kinetic energy decreases, then the collision is non-elastic.

3. What happens to the velocities of the colliding objects in an elastic collision?

In an elastic collision, the velocities of the colliding objects will change in direction but their magnitudes will remain the same. This means that the objects will rebound off each other with the same speed they had before the collision.

4. Are billiard balls considered to be elastic or non-elastic?

Billiard balls are typically considered to be elastic objects because the collisions between them are typically very short in duration and do not result in any significant energy loss.

5. Can two objects have a partially elastic collision?

Yes, two objects can have a partially elastic collision where some of the kinetic energy is conserved and some is lost. This can occur if the objects have different elastic properties or if there are external forces, such as friction, acting on the objects during the collision.

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