Linear Impulse & Momentum - Distinguishing Impulsive & Non-Impulsive Forces

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SUMMARY

The discussion focuses on the distinction between impulsive and non-impulsive forces in the context of linear impulse and momentum. Participants clarify that momentum is conserved only when no external forces act on the system, and that impulsive forces are applied over a very short time. The conversation highlights that while normal forces and friction are external, they may not always affect horizontal momentum conservation, as demonstrated in collision problems. The principle of impulse and momentum is expressed mathematically as m(v1) + ∑ ∫ (F)dt = m(v2).

PREREQUISITES
  • Understanding of linear impulse and momentum principles
  • Familiarity with Newton's laws of motion
  • Knowledge of vector equations and their application in physics
  • Basic concepts of external forces and their impact on momentum
NEXT STEPS
  • Study the application of the impulse-momentum theorem in various scenarios
  • Learn about the role of friction in momentum conservation
  • Explore examples of collisions and the conservation of momentum in two dimensions
  • Investigate the effects of external forces on system momentum in different contexts
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Students of physics, educators teaching mechanics, and anyone interested in understanding the nuances of impulse and momentum in physical systems.

tj00343
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when applying the principle of linear impulse and momentum , how do I know if the force should be considered impulsive or non-impulsive , how should I know if I should consider it in the equation , I already know that an impulsive force is a force that is applied for a very short time ,but in some problems forces such as the normal force were considered impulsive ,for example , there is one containing a crate where the only forces applied are the weight ,normal force ,and friction and still momentum was not conserved , for example , the princip. of impulse and momentum is m(v1) + ∑ ∫ (F)dt =m(v2)
when do I consider the integral to be 0 and momentum conserved
Thank You
 
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hi tj00343! :smile:
tj00343 said:
for example , there is one containing a crate where the only forces applied are the weight ,normal force ,and friction and still momentum was not conserved , for example , the princip. of impulse and momentum is m(v1) + ∑ ∫ (F)dt =m(v2)
when do I consider the integral to be 0 and momentum conserved

i don't understand :redface:

friction isn't for a very-short time …

obviously friction over a finite distance (and time) will change the momentum :confused:

can you give a more specific example?​
 


And Momentum is conserved only when there are no external forces acting on the system.
∫Fdt gives the change in momentum for both impulsive and non-impulsive forces,so what is the problem?
 


I thought that momentum is conserved when there are no external forces on the system or the forces acting are non-impulsive forces ...I'm confused because in problems my professor solved , in some problems there was external forces acting on the system ,but they were not considered ,if for example 2 balls collide , their weights and normal forces are external to the system yet we apply conservation of momentum to find their velocities ...
 
tj00343 said:
I'm confused because in problems my professor solved , in some problems there was external forces acting on the system ,but they were not considered ,if for example 2 balls collide , their weights and normal forces are external to the system yet we apply conservation of momentum to find their velocities ...

ah, but momentum is a vector,

so conservation of momentum is a vector equation

(and so is Newton's second law)

so it works in each direction separately …

in your professor's examples, the weights and normal forces are vertical,

so there is no horizontal external force or impulse,

so horizontal momentum is conserved :smile:
 


ahhhhh thank youuu tiny tim...and pabloenigma
 

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