Maximum possible momentum change in isolated system

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SUMMARY

In an isolated system, the total momentum remains constant during a collision, as demonstrated by two objects with momenta of 6 and 3, resulting in a total momentum of 9. The maximum possible change in momentum is determined by the properties of the objects involved, including mass and material, and cannot exceed the initial momentum values. Kinetic energy plays a crucial role, as the total kinetic energy after a collision must be less than or equal to the total kinetic energy before the collision, unless external energy is introduced. This principle ensures that the change in momentum remains within defined limits, typically not exceeding the initial momentum values.

PREREQUISITES
  • Understanding of momentum conservation principles
  • Familiarity with kinetic energy formulas
  • Basic knowledge of collision types (elastic vs inelastic)
  • Concept of isolated systems in physics
NEXT STEPS
  • Study the conservation of momentum in elastic and inelastic collisions
  • Explore the relationship between kinetic energy and momentum
  • Learn about the mathematical derivation of momentum change in collisions
  • Investigate scenarios involving external forces and energy input during collisions
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Physics students, educators, and anyone interested in understanding the principles of momentum and energy conservation in isolated systems.

xailer
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hello. If in isolated system two objects (one wih momentum 6 and the other with momentum 3)collide, total momentum of the system always remains the same (total_momentum=9).

Depending on the mass, material of objects and some other variables, the change of momentum could vary. Does maximum possible change of momentum equal (for this example) 6? Does it have something to do with kinetic energy? Else why couldn't change of momentum be some larger value,like 10^4? Total momentum would still be the same!


How do we find with help of kinetic energy formula, maximum possible change of momentum in an isolated system?

thank you
 
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The total kinetic energy after the collision must be less than or equal to the energy before. This is true unless the two objects "push off" each other, providing more energy (from inside of them, like energy in your muscles). In this case, the velocities and the differences in momentum can be arbitrarily large.
 
durt said:
The total kinetic energy after the collision must be less than or equal to the energy before. This is true unless the two objects "push off" each other, providing more energy

This "push off" doesn't happen when ordinary objects like balls or rocks... collide?

How do we find with help of kinetic energy formula, maximum possible change of momentum in an isolated system?
 

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