Newtons third law and elevators

In summary, when two objects are stacked in an accelerating elevator, the force equal and opposite to the normal force on the top object is the contact force from the bottom object, which is equal to the force of gravity plus the force of acceleration. This follows from Newton's third law, which states that all force pairs are equal and opposite.
  • #1
kthejohnster
23
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If two objects are stacked in an accelerating elevator what is the force equal and opposite to the normal force on the top object?

I was thinking that it has to be either the force of gravity or contact force between the two objects could it be anything else?
 
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  • #2
kthejohnster said:
If two objects are stacked in an accelerating elevator what is the force equal and opposite to the normal force on the top object?

I was thinking that it has to be either the force of gravity or contact force between the two objects could it be anything else?

Hi welcome to physicforums. :smile:

Here you are dealing with four (or even five) objects: the earth, the elevator (and the cable that holds it up) and two objects inside the elevator. The force of gravity, using classical physics, is pulling on he elevator and the two objects.

Newton's third law applies to all force pairs. In this case you can just focus on the force pair [top object] <-> [bottom object]. The force that is felt by the top object is the contact force from the bottom object; inversely the bottom object feels the same force (but of course in opposite direction) from the top object at its top surface.

The magnitude is equal to the force from gravitation plus the force from acceleration.

See also https://www.physicsforums.com/showthread.php?t=250895
 

FAQ: Newtons third law and elevators

What is Newton's Third Law of Motion?

Newton's Third Law 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 elevators?

In elevators, Newton's Third Law can be seen in action when the elevator is moving. As the elevator moves up or down, the cables pull on the elevator car with a certain amount of force. In response, the car exerts an equal and opposite force on the cables, allowing the elevator to move smoothly.

Does Newton's Third Law apply to elevators when they are stationary?

Yes, Newton's Third Law still applies when the elevator is stationary. When you push the button to call the elevator, you are exerting a force on the button. In response, the button exerts an equal and opposite force on your finger.

How does the weight of the elevator affect Newton's Third Law?

The weight of the elevator does not affect Newton's Third Law. The law states that the forces between two objects are equal and opposite, regardless of their weights. Therefore, the weight of the elevator does not impact the forces between the elevator car and the cables.

Can you give an example of Newton's Third Law in elevators?

One example of Newton's Third Law in elevators is when the elevator is going down and you feel a slight weightlessness. This is because the force of gravity pulling you down is equal to the force of the elevator pushing you up, creating an equal and opposite reaction.

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