Find their velocities after the collision

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In an elastic collision involving a 0.198 kg ball with a velocity of 1.47 m/s and a 0.309 kg ball with a velocity of -0.401 m/s, the velocities after the collision can be determined using the conservation of momentum. The total momentum before the collision is equal to the total momentum after the collision. Additionally, the velocity of the center of mass can be calculated before and after the collision, reflecting the conservation of momentum principle. The calculations will yield specific velocities for both balls post-collision and the center of mass velocity. Understanding these concepts is crucial for solving problems related to elastic collisions.
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A ball of mass 0.198 kg has a velocity of 1.47 i m/s; a ball of mass 0.309 kg has a velocity of -0.401 i m/s.They meet in a head-on elastic collision.

a) Find their velocities after the collision

b) Find the velocity of their center of mass before and after collision
 
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Since it's an ellastic collision, momentum is conserved. a) can be found with conservation of momentum.
 
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