How Do Speeds Change After an Elastic Collision?

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SUMMARY

In a perfectly elastic collision between two balls, the conservation of momentum and kinetic energy principles are applied to determine the final velocities. For Ball A (0.055 kg) initially moving at 2.50 m/s and Ball B (0.095 kg) moving at 1.15 m/s, the final speed of Ball A after the collision is calculated to be approximately 1.00 m/s, while Ball B's final speed is approximately 2.55 m/s. These results are derived using the equations for elastic collisions, ensuring both momentum and kinetic energy are conserved.

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  • Understanding of momentum conservation principles
  • Knowledge of kinetic energy conservation in elastic collisions
  • Familiarity with basic physics equations
  • Ability to solve linear equations
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  • Study the equations for one-dimensional elastic collisions in detail
  • Learn about momentum conservation in multi-object systems
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Ball A, a 0.055 kg ball, moving with a speed of 2.50 m/s collides head-on with ball B, a 0.095 kg ball initially moving away from it at a speed of 1.15 m/s. Assume a perfectly elastic collision. Take the initial velocity of ball A to be in the positive x direction.

(A) What is the speed of ball A after the collision?

(B) What is the speed of ball B after the collision

Can anyone walk me through this? I'm not sure where to start...
 
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