Is calculating the value for momentum rare in practical applications?

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SUMMARY

The discussion highlights the rarity of calculating explicit momentum values in practical engineering applications, despite momentum being a fundamental concept in physics. Mechanical engineers, including the original poster, report infrequent use of momentum calculations in their work, particularly in engineering simulation programs, which often do not provide momentum as an output. The conversation emphasizes that while momentum is a conserved quantity, its direct calculation is overshadowed by the more common need to compute energy or charge in various applications.

PREREQUISITES
  • Understanding of Newton's laws of motion, particularly Newton's 2nd law.
  • Familiarity with engineering simulation programs and their output metrics.
  • Basic knowledge of conservation laws in physics, including momentum, energy, and charge.
  • Insight into forensic engineering and traffic collision reconstruction methodologies.
NEXT STEPS
  • Research the applications of momentum in forensic engineering and accident reconstruction.
  • Explore engineering simulation software that includes momentum as an output, such as ANSYS or COMSOL Multiphysics.
  • Study the mathematical formulations of Newton's laws and their implications in real-world scenarios.
  • Investigate the relationship between momentum and energy in various mechanical systems.
USEFUL FOR

Mechanical engineers, forensic engineers, physics students, and professionals involved in accident reconstruction or engineering simulations will benefit from this discussion.

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Recently I started wondering why there seems to be so few practical/engineering applications where you need to calculate the momentum of something. I must emphasize that I don't mean usage of the concept of momentum or the law of conservation of momentum, but the value of the quantity itself.

Momentum is a conserved quantity like energy and charge, but it appears you rarely need to calculate an explicit value for it in practice. On the other hand, there is a plethora of practical/engineering applications where one needs to calculate the energy or charge of something.

I'm a mechanical engineer myself, and I don't think I've ever had to calculate the momentum of anything in the working life. I've worked quite a lot with engineering simulation programs, and to my knowledge none of them even offer momentum (or anything related to it) as an output quantity.

Do you agree? I find this very interesting since momentum is such a fundamental concept.
 
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Partially it is a matter of semantics. Newton's 2nd law f=ma can be expressed as:

##f=m\ddot x##

or as two first order equations.

##p=m\dot x##
##f=\dot p##

They say the same thing, but the first expression does not explicitly mention momentum while the second one does.
 

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