Solving Speeds of Objects after Collision with Two Angles

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SUMMARY

The discussion focuses on a physics problem involving the conservation of momentum during a collision between a cue ball and an object ball. The cue ball, weighing 0.17 kg and moving at 4.0 m/s, strikes a stationary 0.16 kg object ball. Post-collision, the cue ball moves at 2.0 m/s at an angle of 60 degrees to the left, while the object ball moves at 3.7 m/s at an angle of 30 degrees to the right of the cue ball's original path. These results are derived using the principles of momentum conservation.

PREREQUISITES
  • Understanding of conservation of momentum principles
  • Basic knowledge of vector components in physics
  • Familiarity with collision types (elastic vs. inelastic)
  • Ability to perform trigonometric calculations for angles
NEXT STEPS
  • Study the conservation of momentum in two-dimensional collisions
  • Learn about vector decomposition and how to resolve forces
  • Explore the differences between elastic and inelastic collisions
  • Practice solving collision problems using real-world examples
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and collision problems, as well as educators looking for practical examples of momentum conservation in action.

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Homework Statement


A 0.17kg cue ball is moving at 4.0 m/s when it strikes a 0.16 kg stationary object ball. After the collision, the cue ball moves 60 degrees to the left of its original direction while the object ball moves 30 degrees to the right of the cue ball's original path. Determine the speed of the:
a) Cue ball after the collision. [ANS: 2.0 m/s]
b) Object ball after the collision. [ANS: 3.7 m/s]

Homework Equations


Conservation of Momentum

The Attempt at a Solution


[PLAIN]http://img89.imageshack.us/img89/1425/dscf2042x.jpg

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