Newton's Third Law and Car Crashes

In summary: The car with the larger mass would experience a smaller acceleration and thus a smaller force. The car with the smaller mass would experience a larger acceleration and thus a larger force.In summary, when two cars of the same mass collide with each other at 50km/h, the opposing forces exerted on each car are equal and opposite according to Newton's Third Law. This results in a less damaging crash compared to a car colliding with a wall at 100km/h, where the wall exerts a larger resistance force on the car. This is because more velocity brought down to zero velocity over the same time results in more force, and the same mass and time results in the same force. If the masses were different for the two cars, the
  • #1
Balsam
226
8

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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  • #2
what do you mean in better
 
  • #3
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.
 
  • #4
giokrutoi said:
what do you mean in better

Less damaging
 
  • #5
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?
 
  • #6
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.
 
  • #7
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
 
  • #8
Then you would not expect both cars to come to a full stop.
 

What is Newton's Third Law of Motion?

Newton's Third Law of Motion states that for every action, there is an equal and opposite reaction. This means that when one object exerts a force on another object, the second object will exert an equal force in the opposite direction on the first object.

How does Newton's Third Law apply to car crashes?

In a car crash, the force of the impact is equal and opposite for both vehicles involved. This means that the car that is hit will exert the same amount of force on the other car as the other car exerts on it. This is why both cars can sustain damage in a car crash.

What are some examples of Newton's Third Law in a car crash?

One example is when two cars collide head-on. The force of the impact on both cars is equal and opposite, causing both cars to come to a stop. Another example is when a car crashes into a wall. The car exerts a force on the wall, and the wall exerts an equal and opposite force on the car, causing it to come to a stop.

How can understanding Newton's Third Law help prevent car crashes?

Understanding Newton's Third Law can help drivers to anticipate the equal and opposite force that will occur in a car crash. This can encourage drivers to be more cautious on the road and to maintain a safe distance from other vehicles, reducing the chances of a car crash.

Are there any exceptions to Newton's Third Law in car crashes?

While Newton's Third Law applies to most car crashes, there are some exceptions. For example, if one car is significantly larger or heavier than the other, the force of the impact may not be equal and opposite. Additionally, if one car is stationary and the other is in motion, the force of the impact may not be equal and opposite due to the difference in momentum.

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