Collision problem /what internal forces?

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SUMMARY

The discussion centers on the concept of internal forces during a collision between two objects, A and B, where A moves with momentum p into B at rest. Internal forces are defined as forces that occur between bodies within a system, contrasting with external forces like gravity or friction. The participants explore the implications of Newtonian mechanics, noting that internal forces can be represented by Dirac delta functions at the point of impact, which cancel each other out. The conversation highlights the complexity of quantifying these forces, especially in perfectly elastic collisions.

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  • Understanding of Newtonian mechanics
  • Familiarity with momentum and its conservation
  • Knowledge of Dirac delta functions in physics
  • Basic concepts of elastic and inelastic collisions
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  • Study the principles of momentum conservation in collisions
  • Learn about Dirac delta functions and their applications in physics
  • Explore the differences between elastic and inelastic collisions
  • Research internal vs. external forces in various physical systems
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Students of physics, particularly those studying mechanics, as well as educators and anyone interested in the dynamics of collisions and force interactions.

Jerbearrrrrr
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Homework Statement


A moves with momentum p into B at rest. The objects collide and move off with momenta p_1, p_2 at an angle (irrelevant but anyway).
What are the internal forces in the system?

Homework Equations


F=p dot

The Attempt at a Solution


What's an internal force? Isn't it usually something like gravity (system of planets) or electromagnetic forces (system of charged particles)?

The internal forces seem to be given by a pair of dirac delta functions centre time/point of impact. Though as it's a Newtonian pair, they cancel out.
Then again, that's probably too advanced given the context of the question...

What is the marker looking for?
It could be nothing for two reasons for infinity for another reason.

Thanks
 
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Hi Jerbearrrrrr! Welcome to PF! :smile:

An internal force is any force that isn't an external force.

An external force is anything from outside, such as gravity, wind, friction with the ground.

Internal forces include the forces between two bodies in the system.

And also forces within a body, such as springiness and chemical bonds.

(of course, if the system includes the Earth, then the gravity will be an internal force :rolleyes:)
 
So suppose the universe is just two particles, A and B.
Then any force is internal, since our system is the entire universe?
So there are no internal forces (unless A and B have a mass, in which case there is the Newtonian pair of attraction)?

If two particles collide perfectly elastically, do they exert a force on each other? If so, how do we quantify this force?
There's no time scale so the formulae break down. D:

(This wasn't my homework problem, it's a friend's, who does physics. I do maths but I'm just curious.)
 

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