Solving 3 Sphere Collision Problem: Help Needed

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The discussion centers on solving the three-sphere collision problem involving spheres A (0.02 kg), B (0.03 kg), and C (0.05 kg) on a frictionless air table. The initial velocities are given as 1.5 m/s for A to the left, and B has components of 0.25 m/s to the left and 0.433 m/s downward. To determine the initial velocities of sphere C, the conservation of momentum and kinetic energy principles must be applied, ensuring that all spheres move at 0.5 m/s in the +x direction after the collision.

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I'm having trouble with this problem, can someone help:

Spheres A (m=0.02 kg), B (m=0.03 kg), and C (m=0.05 kg), are each approaching the origin as they slide on a frictionless air table. the initial velocity of A is 1.5 m/s horizontally to the left and the x and y components of B's velocity are 0.25 m/s horizontally to the left and 0.433 m/s downward . all three spheres arrive at the origin at the same time and stick together. what must the x and y components of the initial velocity of C be if all three objects end up moving at 0.5 m/n in the +x direction after the collision?
 
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marialo said:
I'm having trouble with this problem, can someone help:
Spheres A (m=0.02 kg), B (m=0.03 kg), and C (m=0.05 kg), are each approaching the origin as they slide on a frictionless air table. the initial velocity of A is 1.5 m/s horizontally to the left and the x and y components of B's velocity are 0.25 m/s horizontally to the left and 0.433 m/s downward . all three spheres arrive at the origin at the same time and stick together. what must the x and y components of the initial velocity of C be if all three objects end up moving at 0.5 m/n in the +x direction after the collision?
Show us your work. What is the principle or physical law that applies here?

AM
 
Try writing the momenutm equations in the x and y directions.

Consider the total kinetic energy before = total kinetic energy after.
 

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