Newton's Third Law and Car Crashes

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Homework Help Overview

The discussion revolves around the implications of Newton's Third Law in the context of car crashes, specifically comparing the effects of two cars colliding at the same speed versus one car crashing into a wall at a higher speed.

Discussion Character

  • Conceptual clarification, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the concept of force in collisions, questioning the meaning of "better" in terms of crash outcomes. They discuss how opposing forces act during collisions and the implications of different collision scenarios on force experienced by the vehicles.

Discussion Status

Some participants have provided insights into the forces involved in collisions, suggesting that the forces experienced by the cars differ based on the scenario. There is ongoing exploration of how velocity and mass influence the forces during a crash, with some participants questioning how varying masses would affect the outcomes.

Contextual Notes

Participants are considering the assumptions regarding the strength of the wall and the conditions under which the cars come to a stop. There is also uncertainty about the effects of differing masses on the collision dynamics.

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Homework Statement


In terms of Newton's Third Law, why is it better for 2 cars of the same mass, both going 50km/h to crash into each other than for 1 car going 100km/h to crash into a wall?

Homework Equations


Newton's Third Law
F=ma

The Attempt at a Solution


I have no idea. I'm really confused
 
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what do you mean in better
 
If there are two cars, each one will be subjected to the other's opposing force. If there is one car, and you assume the wall is strong enough to fully stop the car, it will be subjected to the larger resisting force of the wall.

Let's say that ##F_1## is generated by car 1 and ##F_2## is generated by car 2, then ##F_1= -F_2## for a perfect head-on crash ending in full stop.
Let's say that ##F_3## is generated by the fast (100km/hr) car 3 and ##F_4## is generated by the wall, then ##F_3= -F_4## for a car-on-wall crash ending in full stop.
 
giokrutoi said:
what do you mean in better

Less damaging
 
RUber said:
If there are two cars, each one will be subjected to the other's opposing force. If there is one car, and you assume the wall is strong enough to fully stop the car, it will be subjected to the larger resisting force of the wall.

Let's say that ##F_1## is generated by car 1 and ##F_2## is generated by car 2, then ##F_1= -F_2## for a perfect head-on crash ending in full stop.
Let's say that ##F_3## is generated by the fast (100km/hr) car 3 and ##F_4## is generated by the wall, then ##F_3= -F_4## for a car-on-wall crash ending in full stop.
Of the 2 cars, each exerts a lesser force since their collision velocity is less. Whereas if the car crashed into the wall, the wall would exert a stronger reaction force on the car because of the increased velocity at the point of impact? Is this true?
 
That's about right. I would assume that in all cases, it takes the same time for the cars to come to a stop. Thus, acceleration would be proportional to velocity.
More velocity brought down to zero velocity over the same time results in more force.
There are finer points when you deal with impulses and collisions, but as it refers to F=ma, this is the most fundamental explanation.
More velocity, same mass, same time => more force.
 
RUber said:
That's about right. I would assume that in all cases, it takes the same time for the cars to come to a stop. Thus, acceleration would be proportional to velocity.
More velocity brought down to zero velocity over the same time results in more force.
There are finer points when you deal with impulses and collisions, but as it refers to F=ma, this is the most fundamental explanation.
More velocity, same mass, same time => more force.

What if the masses were different for the 2 cars? I'm not sure how mass affects this situation
 
Then you would not expect both cars to come to a full stop.
 

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