Collision of billiard balls

In summary, two identical billiard balls, one traveling north at 15.0 m/s and the other south at 10.0 m/s, collide head-on in a perfectly elastic collision. The post-impact speeds of both balls can be found by applying conservation of momentum and conservation of kinetic energy. As the balls are identical, their masses do not need to be known to solve for the post-impact speeds.
  • #1
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Homework Statement



Two billiard balls, one heading north at 15.0 m/s and a second heading south at 10.0 m/s, collide head-on. Take the collision to be perfectly elastic and choose the positive direction north.

What is the post-impact speed of the first ball
Answer: m/s

What is the post-impact speed of the second ball?
Answer: m/s


Homework Equations





The Attempt at a Solution



Don't even know where to start.
 
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  • #2
You start by applying conservation of momentum and conservation of kinetic energy.
 
  • #3
But don't i need the mass in order to do that?
 
  • #4
They are identical billiard balls I assume, in mass and otherwise.
 

1. How do collisions between billiard balls work?

When two billiard balls collide, they transfer momentum and energy to each other. The direction and speed of the balls before and after the collision determine the outcome of the collision.

2. What factors affect the outcome of a collision between billiard balls?

The mass, velocity, and angle of the balls are the main factors that affect the outcome of a collision. The surface texture and friction of the table also play a role.

3. How is the speed of billiard balls calculated after a collision?

The speed of a billiard ball after a collision can be calculated using the conservation of momentum and energy principles. The equations take into account the mass and velocity of both balls before the collision.

4. Can the angle of impact affect the outcome of a collision?

Yes, the angle of impact can greatly affect the outcome of a collision between billiard balls. When the balls collide at an angle, the resulting direction and speed of the balls can be different from a head-on collision.

5. Are there any real-life applications of studying collisions between billiard balls?

Yes, understanding the physics of collisions between billiard balls can have practical applications in fields such as engineering, automotive safety, and sports. It can also help in designing games and simulations.

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