Physics 12 law or conservation of energy

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In a perfectly elastic collision involving two identical steel marbles, the conservation of kinetic energy and momentum must be considered. The problem states that one marble collides obliquely with a stationary marble and continues at an angle of 55 degrees to its original direction. To find the angle between the target ball's direction and the incident ball's original direction, one must analyze the conservation of momentum in both the x and y components. The symmetry of the trajectories is crucial, as the equal mass of the marbles implies specific relationships between their velocities post-collision. Understanding these principles will help in solving for the unknown angle in the scenario presented.
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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