Is Momentum Always Conserved in a Collision?

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SUMMARY

Momentum is conserved in a collision only when no external forces act on the system. In scenarios where external forces, such as gravity or friction, are present, like when a ball bounces on Earth, the momentum of the individual object is not conserved. The discussion clarifies that while individual momentum vectors may change direction and magnitude during a collision, the total momentum of the system remains constant if internal forces are equal and opposite. This principle is foundational in physics and is articulated through the equation p = mv.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with vector quantities in physics
  • Knowledge of external vs. internal forces
  • Basic grasp of the conservation laws in physics
NEXT STEPS
  • Study the implications of external forces on momentum conservation
  • Explore the concept of elastic vs. inelastic collisions
  • Learn about the role of friction in momentum calculations
  • Investigate the mathematical representation of momentum conservation in multi-body systems
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Students of physics, educators teaching mechanics, and anyone interested in understanding the principles of momentum conservation in collisions.

vineroon
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I am not sure if I understand the premises under which conservation of momentum can be considered. First of all, I am aware that momentum is conserved if there are no external forces acting on a system. So, if you are looking at two objects colliding, their momentums will always be conserved if there aren't any forces acting on the system itself.

This brings into question of actually solving for conservation of momentum. Is it always conserved during a collision? What kind of external forces can act during a collision? Is the momentum conserved if you bounce a ball on Earth?

Another thing I am confused about is the vector relationship to conservation of momentum. Say that before a collision, the object's momentum is conserved since the ground is frictionless. But after the collision, the object's velocity switches direction, yet the magnitude stays the same. In this case, is momentum still conserved? The way I had interpreted is to observe p = mv and if the direction of v changes, then the final vector p is changed. So does momentum change during the collision? If so, does it mean that it's not conserved?

Sorry for making this topic a little longer than I had hoped for.

Thank you in advance for any help
 
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Conservation of momentum permits vector directions and magnitudes to change for individual particles/masses...but the total system momentum remains constant in the absence of external forces. Internal forces, being equal and opposite, produce equal and opposite changes in total momentum which cancel.
 

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