Physics 12 law or conservation of energy

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SUMMARY

The discussion focuses on a perfectly elastic collision involving two identical steel marbles, each weighing 46 grams. The incident marble continues at an angle of 55 degrees to its original direction after the collision. Key concepts include the conservation of kinetic energy and the conservation of momentum, which applies separately to both the x and y components of the system. The challenge lies in determining the angle between the target marble's direction and the original direction of the incident marble, emphasizing the need for vector analysis in solving the problem.

PREREQUISITES
  • Understanding of elastic collisions in physics
  • Knowledge of vector components in two-dimensional motion
  • Familiarity with conservation laws (momentum and energy)
  • Ability to apply trigonometric principles to solve for angles
NEXT STEPS
  • Study the principles of elastic collisions in detail
  • Learn how to decompose vectors into x and y components
  • Explore the mathematical derivation of conservation of momentum in two dimensions
  • Practice solving problems involving angles in elastic collisions
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and collision theory, as well as educators seeking to clarify concepts related to elastic collisions and vector analysis.

gdhillon
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Q:A 46 g steel marble collides obliquely with an identical stationary marble, and continues
at 55 to its original direction. The collision is perfectly elastic. What is the angle between
the direction taken by the target ball and the original direction of the incident ball?




I know the collision being elastic means the kinetic energy is conserved, but I am completely lost on how to solve this question I tried drawing the vectors tip to tail but I didn't know how I would find theta because I don't know any of the sides.
 
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gdhillon said:
Q:A 46 g steel marble collides obliquely with an identical stationary marble, and continues
at 55 to its original direction. The collision is perfectly elastic. What is the angle between
the direction taken by the target ball and the original direction of the incident ball?

Two marbles and a ball? The problem is not clear.
 
gdhillon said:
Q:A 46 g steel marble collides obliquely with an identical stationary marble, and continues
at 55 to its original direction. The collision is perfectly elastic. What is the angle between
the direction taken by the target ball and the original direction of the incident ball?




I know the collision being elastic means the kinetic energy is conserved, but I am completely lost on how to solve this question I tried drawing the vectors tip to tail but I didn't know how I would find theta because I don't know any of the sides.

What else is conserved in collisions? It's a vector quantity, so it must be conserved separately in any given direction (that means the x-component sums are conserved, and the y-component sums are conserved separately). Given equally massed projectiles, what does that tell you about the required symmetry of the resulting trajectories?
 

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