Why Can External Road Forces Be Neglected in a Collision Analysis?

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In collision analysis, external road forces can be neglected because the collision occurs over a very short time frame, during which the forces from the collision itself are significantly larger than any external forces. This allows for the conservation of momentum to be applied effectively, as the external forces do not substantially affect the system's motion during the impact. The energy from the collision primarily transforms into kinetic and thermal energy, rather than being lost to external influences like the road. Thus, focusing on the internal dynamics of the colliding vehicles provides a clearer understanding of the collision's effects. Overall, the short duration and magnitude of collisional forces justify ignoring external road forces in this context.
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Homework Statement


What is the x-component of the velocity of the stuck-together car and truck just after the collision?

speed= -7.32352941176471 m/s

You are correct.

c) In your analysis in part (b), why can you neglect the effect of the force of the road on the car and truck?

Homework Equations


Conservation of momentum and energy[/B]

The Attempt at a Solution


I believe that During the collision, external forces are negligible so the momentum of the system is conserved.

Am I on the right track here?
 
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In a vehicle collision most of the energy which was contained in the colliding vehicles will end up as kenitic and thermal energy contained in bits of flying debris.
If the collision is not very fast the energy will deform the vehicles, instead of making flying debris, but the deformed vehicles will still get hotter.
Some of the released energy might result in changing the state of other stuff at the location, such as the road.
No energy just gets lost.
 
Last edited:
Westin said:

Homework Statement


What is the x-component of the velocity of the stuck-together car and truck just after the collision?

speed= -7.32352941176471 m/s

You are correct.

c) In your analysis in part (b), why can you neglect the effect of the force of the road on the car and truck?

Homework Equations


Conservation of momentum and energy[/B]

The Attempt at a Solution


I believe that During the collision, external forces are negligible so the momentum of the system is conserved.

Am I on the right track here?
You have only restated that external forces such as the force of the road on the car and truck can be neglected. You haven't given any reason as to why they can be neglected. However, you do mention that it's during the collision that they can be neglected. This is an important point.

So, why can those external forces be neglected during the collision?
 
SammyS said:
You have only restated that external forces such as the force of the road on the car and truck can be neglected. You haven't given any reason as to why they can be neglected. However, you do mention that it's during the collision that they can be neglected. This is an important point.

So, why can those external forces be neglected during the collision?

Im honestly kinda lost here, it it because the collision is between the car and truck, so the system is the car and truck, making the road be neglected?
 
Westin said:
Im honestly kinda lost here, it it because the collision is between the car and truck, so the system is the car and truck, making the road be neglected?
Have you studied "impulse"?

How do the collisional force compare with thise external forces in size and duration?
 
The collision is so short that you can just neglect the road? And because the road will have such a tiny affect since the collision is so much larger?
 
Larger, I mean the energy from the collision is so much larger than the road.
 
Westin said:
Larger, I mean the energy from the collision is so much larger than the road.
It's the force that's at issue here, not energy.

Yes, the collisional forces are much larger than the external forces and occur over a very short time, during which time the external forces cause relatively little change in motion.
 
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