Conservation of Momentum: Elastic Collision of Two Masses

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SUMMARY

The discussion centers on the conservation of momentum in elastic collisions, specifically addressing the correct application of velocity signs. When calculating momentum, velocities must be assigned negative values for objects moving in the opposite direction. For instance, if mass one has a velocity of +5 m/s to the right, mass two should be assigned -3 m/s to indicate it is moving left. After the collision, if mass one moves left, its velocity is -1 m/s.

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  • Understanding of basic physics concepts, particularly momentum and collisions.
  • Familiarity with elastic collision equations and their applications.
  • Knowledge of vector notation and how to represent direction in physics.
  • Ability to perform calculations involving negative numbers in the context of motion.
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  • Study the principles of elastic and inelastic collisions in physics.
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  • Practice solving problems involving multiple masses and directional velocities.
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I really want to know which answer is correct. I don’t really know if I should include velocities to the left as negative velocities in the equation. Is it -1 or 4.33? Please help! Thanks! Sideways023.jpg
Sideways023.jpg
 
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When you replace symbols with numbers, you must put negative signs where they belong. If v01 = +5 m/s and is moving to the right, then v03 = -3 m/s. The negative sign says that the second mass is moving in an opposite direction to that of the first mass. The same applies to the first mass after the collision. It is moving to the left so its velocity must be -1 m/s.
 

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