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Slide Notes

How are the moon's craters related to the collision of a fly and a train?

A Diesel engine train speeding along a stretch of rail runs headlong into a fly traveling directly opposite the train - the fly striking the engine's windshield. As unlikely as it is to believe that the forces of the train and the fly are equal, Newton's Third Law says that is exactly the case. Asteroids and comets that strike the moon (note our picture) follow the same principle.

What is the key to understanding this seemingly inexplicable phenomenon? Well, an understanding of the second law of motion (Newton's Second Law) helps. It states that the acceleration change experienced by both objects will be equal to the ratio of each object's force and its mass; that is: a = F/m. How does this explain the conundrum? It's obvious that the two masses are drastically different - the preponderance of mass belonging to the train. And when you think about it, it's equally obvious to see that the acceleration of the train will change, only imperceptibly, while the change in the acceleration of the fly upon impact is large and deadly.

Therefore, the train has a tremendously greater mass while the fly has tremendously greater acceleration change. In the meantime, the forces of each one upon the other is the same. Do the math!
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How Can Forces Be Equal And Opposite When A Fly Hits The Windshield?

Published on Nov 18, 2015

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PRESENTATION OUTLINE

EQUAL AND OPPOSITE.

  • How are the moon's craters related to the collision of a fly and a train?
  • Can a free-body diagram provide an explanation?
  • Is the tiny fly as powerful as a diesel train?
How are the moon's craters related to the collision of a fly and a train?

A Diesel engine train speeding along a stretch of rail runs headlong into a fly traveling directly opposite the train - the fly striking the engine's windshield. As unlikely as it is to believe that the forces of the train and the fly are equal, Newton's Third Law says that is exactly the case. Asteroids and comets that strike the moon (note our picture) follow the same principle.

What is the key to understanding this seemingly inexplicable phenomenon? Well, an understanding of the second law of motion (Newton's Second Law) helps. It states that the acceleration change experienced by both objects will be equal to the ratio of each object's force and its mass; that is: a = F/m. How does this explain the conundrum? It's obvious that the two masses are drastically different - the preponderance of mass belonging to the train. And when you think about it, it's equally obvious to see that the acceleration of the train will change, only imperceptibly, while the change in the acceleration of the fly upon impact is large and deadly.

Therefore, the train has a tremendously greater mass while the fly has tremendously greater acceleration change. In the meantime, the forces of each one upon the other is the same. Do the math!
Photo by markkilner

FREE-BODY DIAGRAM DIA

CAN A FREE-BODY DIAGRAM PROVIDE AN EXPLANATION?
Can a free-body diagram provide an explanation?

Consider the free-body diagram for a similar situation: the impact between a hammer and a nail. Remember, this diagram demonstrates the forces acting on "an" object. Inherently, when considering the dynamics of impact forces (like the unfortunate little fly against a windshield), we want to place the forces of the two objects that are in opposition to one another into that diagram. STOP!

Instead consider the forces, first, acting on the nail and, secondly, those acting on the hammer; but separately. (Refer the the slide.)

THE MIGHTY HOUSEFLY.

IS THE TINY FLY AS POWERFUL AS A DIESEL TRAIN?
Is the tiny fly as powerful as a diesel train?

Ok, slow down! Let's just agree that the force of the fly would be "equal and opposite" to the force of the train that it impacts. But when we decide to consider "mightiness", energy (force over a distance) and power (energy in a time frame) come into play. And as you might imagine, the train will win out every time. But, that's another story.

For the time being, just convince your favorite fly to stay far away from any train tracks.