Collision problem /what internal forces?

In summary, the concept of internal forces refers to any force that is not an external force acting on a system. This includes forces between two bodies within the system, as well as forces within a single body. In the context of a system consisting of two particles colliding, the internal forces would be the Newtonian pair of attraction between the particles. However, if the system is the entire universe, then all forces would be considered internal. In the case of perfectly elastic collisions, the concept of force becomes less applicable without a defined time scale.
  • #1
Jerbearrrrrr
127
0

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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  • #2
Welcome to PF!

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:)
 
  • #3
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.)
 

Related to Collision problem /what internal forces?

What is a collision problem?

A collision problem is a situation in which two or more objects come into contact with each other and exert forces on each other. This can result in a change in the motion or direction of the objects involved.

What are internal forces?

Internal forces are forces that act within an object or system and do not involve any external objects. These forces can include tension, compression, and shear forces.

How do internal forces affect collisions?

Internal forces can play a significant role in collisions. For example, during a car crash, the internal forces within the car can cause the vehicle to crumple and absorb some of the impact, protecting the passengers.

Why is it important to consider internal forces in collision problems?

Considering internal forces is crucial in understanding the full picture of how objects behave during a collision. Neglecting these forces can lead to inaccurate predictions and solutions.

What techniques are used to analyze internal forces in collision problems?

There are various techniques used to analyze internal forces in collision problems, including Newton's laws of motion, conservation of momentum, and energy principles. These techniques can help determine the magnitude and direction of internal forces and their effects on the objects involved.

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