Does anyone know the formula to find the angle after a collision?

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    Angle Collision Formula
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SUMMARY

The discussion centers on the formula for determining the angle and speed of balls after a collision, specifically involving a 1 kg ball colliding with two stationary 5 kg balls. The key concepts include conservation of momentum and projectile motion. Theoretical outcomes suggest that the angles of the 5 kg balls will be equal in magnitude but opposite in direction, with their speeds being equal. However, practical considerations indicate that real-life collisions may not adhere to these ideal conditions due to the timing of impacts.

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  • Understanding of conservation of momentum
  • Knowledge of projectile motion principles
  • Familiarity with basic physics of collisions
  • Ability to analyze three-body collision scenarios
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  • Study the equations governing projectile motion
  • Explore three-body collision dynamics in physics
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Physics students, educators, and anyone interested in understanding collision dynamics and momentum conservation in multi-body systems.

ILoveParticlePhysics
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I think it has to do with conversation of momentum and projectile motion.
 
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ILoveParticlePhysics said:
Summary:: Let's say you have a 1kg ball going 5km per hour going straight into the middle of 2 5kg balls, what will be the angle and the speed of every ball after the collision?

Note: I just want the formula not the answer for the actual summary :).

I think it has to do with conversation of momentum and projectile motion.
Is this your homework?
 
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ILoveParticlePhysics said:
Note: I just want the formula not the answer for the actual summary :).
How is "the formula" different from "the answer"?
 
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PeroK said:
Is this your homework?
No. The example was an example not homework.
 
kuruman said:
How is "the formula" different from "the answer"?
There isn't, old me said that so people wouldn't think that it is homework which it isn't.
 
Usually, the answer to problems of this sort is a formula when numbers are not given and a number if numbers are given. Here you are asking for an answer in the form of a formula. Having said all this, the only answer to your question is "It depends" because you have not given enough information. Ideally, there will be a 3-way split of the initial energy and momentum, the angles of the 5 kg balls relative to the initial direction of the 1 kg ball will be equal in magnitude, but in opposite quadrants and the speeds of the 5 kg balls will be equal. All that is deduced theoretically from symmetry. Practically, it will be a different story. In real life, you cannot expect to have a three-way collision so that all three balls are in contact for the same time interval. One collision will be completed before that other and that will skew the result. Even in ideal conditions, the statement of the problem should provide more information. The scattering angle will depend on the radii of the balls because the velocity of a target ball at rest will be in the direction of the line joining the centers of the projectile and target ball.
 
ILoveParticlePhysics said:
No. The example was an example not homework.
Where did you find the example? The reason I ask is because the example is not well stated.
 

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