How Do Speed and Direction Change for Two Colliding Pool Balls?

In summary, the conversation discusses two balls with different directions and speeds colliding and the resulting change in their speed and direction. The solution involves using formulas from the Wikipedia page on elastic collisions and applying the principles of conservation of momentum and energy.
  • #1
kapil1089thek
1
0
I have two balls with d1 and d2 as their direction, and I have the speed s1 and s2, d1 and d2 are in radians showing the angle made with positive direction of x-axis and in anticlockwise direction i.e 0<=d1 and d2<2*pi
their positions are (x1,y1) and (x2,y2) when they collided

after collosion
what would be their speed, and direction?
 
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  • #3
shouldn't their positions be the same when they collide?

basically you want to split the problem up into two problems: momentum is conserved in both the x and y directions, independently. also it looks like you're assuming completely elastic collisions.
 
  • #4
Sorry--you will need to use conservation of energy, too.
this plus both equations for conservations of momentum should be enough to solve the problem.
 

1. How do you calculate the trajectory of a 2D pool ball collision?

To calculate the trajectory of a 2D pool ball collision, you need to know the mass, velocity, and direction of each ball before the collision. Using the conservation of momentum and the conservation of kinetic energy equations, you can determine the final velocity and direction of each ball after the collision.

2. What factors affect the outcome of a 2D pool ball collision?

The outcome of a 2D pool ball collision is affected by factors such as the mass, velocity, and direction of each ball, as well as the elasticity of the balls and the surface they are colliding on. Friction and spin can also play a role in the outcome of the collision.

3. How does the angle of collision between two 2D pool balls impact the result?

The angle of collision between two 2D pool balls can greatly impact the result of the collision. A head-on collision will result in a more elastic collision, while a glancing collision will result in a less elastic collision. The angle of collision also determines the direction of the final velocities of the balls.

4. Can a 2D pool ball collision result in a perfectly elastic collision?

Yes, a 2D pool ball collision can result in a perfectly elastic collision if the balls have the same mass and velocity before the collision and there is no friction or spin involved. This means that the total kinetic energy of the system is conserved and the balls will bounce off each other without losing any energy.

5. How can you predict the outcome of a 2D pool ball collision?

To predict the outcome of a 2D pool ball collision, you can use mathematical equations that take into account the initial conditions of the collision, such as the mass, velocity, and direction of each ball. However, predicting the exact outcome may be difficult due to the many factors that can affect the collision, such as friction and spin.

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