Collision in two dimensions problems

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To determine the angle at which coin Z must be pushed against coin Y for a central collision with coin X, the problem involves elastic collision principles. The coordinates of the coins are specified, with Z at (0,0), Y at (60.0,0), and X at (60.0, 45.0) mm. The conservation of momentum and kinetic energy equations are relevant, but the velocities of the coins are not needed to find the angle. It is noted that increasing the initial speed of Z does not affect the angle required for the collision sequence. The solution hinges on geometric relationships rather than specific velocity values.
madlin
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1. On a table (defining the x,y-plane laying 3 identical coins A,B and C with identical diameter of 18.00mm. The coordinates of their centers are Z(0,0), Y(60.0,0), X(60.0, 45.0) all given in mm.
Under what angle relative to the x-axis one has to push Z against Y so that Z performs after the collision with Y another central collision with X?
Assume elastic collision, neglect friction.




2. m1(vi1 - vf1) = m2(vf2 - vi2)
vi1 + vf1 = vf2 + vi2




The Attempt at a Solution


Homework Statement





Homework Equations





3. I really don't understand how to find the angle when we don't have the velocities.
 
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Hello madlin.

Increasing the initial speed of Z would be like speeding up a video of the whole process. So, the answer will not depend on the speed.
 

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