Energy Conservation: Velocity of Marbles 1, 2 and 3

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SUMMARY

The discussion focuses on the elastic collision of three marbles, each with the same mass, where marble 1, moving at an initial velocity of 10 m/s, collides with marbles 2 and 3. The equations presented involve conservation of momentum and kinetic energy, specifically using the relationships v(initial)m = 2mv(subscript2) cos(θ) + v(final)m and v(initial)^2 m = v(final)^2m/2 + 2vθ^2*20m/2. The need for clarity in notation, particularly using "i" for initial and "f" for final velocities, is emphasized to facilitate understanding of the problem.

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Three marbles have the same mass. Two of them touch each other and are aligned perpendicular to the path of marble 1. The velocity of marble 1 has magnitude v (initial)=10m/s and is directed at the contact point of marbles 2 and 3.

After the elastic collision what are the speed and direction of the velocity of all marble 1, 2 and 3?

my attempt:
v(initial)m = 2mv(subscript2) costheta + v(final)m
v(initial)^2 m= v(final)^2m/2 + 2vthetha^2*20m/2

theta= v(subscript2)sintheta-v(subscript3)sintheta
 
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Hi xshezsciencex! :smile:

This is very confusing. :redface:

Can you please write it out again, clearly, using the X2 and X2 tags just above the Reply box, and using "i" and "f" for "intial" and "final" (this is normal practice), and this theta: θ.
 

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