Impulse and momentum problem pool balls

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SUMMARY

The discussion centers on solving a physics problem involving impulse and momentum of pool balls. The key equation used is the conservation of momentum, expressed as momentum_a + momentum_b = momentum of the system. The user initially struggled with deriving the final angle of ball 2, resulting in an unsolvable equation. Ultimately, the user identified an algebra mistake that had led to confusion, highlighting the importance of accuracy in calculations.

PREREQUISITES
  • Understanding of momentum conservation principles
  • Familiarity with trigonometric functions and equations
  • Basic algebra skills for solving equations
  • Knowledge of vector components in physics
NEXT STEPS
  • Review the principles of conservation of momentum in two-dimensional collisions
  • Practice solving trigonometric equations related to angles in physics
  • Learn about vector decomposition and its application in momentum problems
  • Explore common algebraic mistakes in physics problem-solving
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of common problem-solving challenges in impulse and momentum scenarios.

isukatphysics69
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impusle2.PNG
1. Homework Statement
in picture

Homework Equations


momentuma+momentumb=momentum of system

The Attempt at a Solution


So i just spent 1 hour trying to solve this problem and got completely stuck when trying to solve for the angle of ball 2 in the final position i ended up with an equation ((sinx)/(cosx+1)) = -0.4 which is unsolvable.
so now i am entirely confused on what to do.

I started off by getting the components of the momentum of each ball in each direction and trying to solve for the final velocity of ball 2 which ended up requiring the final angle of ball 2 and i could not solve for the angle. i need a different approach to this problem because i am completely stuck and getting frustrated
 

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OK I JUST FIGURED IT OUT! >=0 I MADE AN ALGEBRA MISTAKE AND IT MESSUD UP EVERYTHING
 

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