How Does Newton's Third Law Apply to Stacked Blocks in an Elevator?

In summary, the conversation discusses the forces present in a stacked block scenario inside an elevator. The eight forces are defined as the force of one block on another, as well as the force of the floor on the blocks. Given that the elevator is at rest, the question asks for the ranking of the magnitude of these forces from largest to smallest. The correct order is determined to be: F of floor on 1, F of 3 on 2 and F of 2 on 3, F of 1 on 2 and F of 2 on 1, and F of 3 on 1 and F of 1 on 3.
  • #1
jessemarquez
2
0

Homework Statement


Three blocks are stacked on top of each other inside an elevator as shown in the figure.
Answer the following questions with reference to the eight forces defined as follows.

the force of the 3kg block on the 2kg block, F of 3 on 2,
the force of the 2kg block on the 3kg block, F of 2 on 3,
the force of the 3kg block on the 1kg block, F of 3 on 1,
the force of the 1kg block on the 3kg block, F of 1 on 3,
the force of the 2kg block on the 1kg block, F of 2 on 1,
the force of the 1kg block on the 2kg block, F of 1 on 2,
the force of the 1kg block on the floor, F of 1 on floor, and
the force of the floor on the 1kg block, F of floor on 1.

Assume the elevator is at rest. Rank the magnitude of the forces.
Rank from largest to smallest.

__________
| |
| |
| 3 kg |
|________|
| |
| 2 Kg |
|______ |
| |
| 1 kg |
|______|______

The Attempt at a Solution


F of floor on 1 and F 1 on floor, F of 3 on 2 and F of 2 on 3, F of 2 on 1 and F of 1 on 2, F of 3 on 1 and F of 1 on 3.
 
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  • #2
can anyone offer any insight if the order stated is correct.
 
  • #3


I understand that Newton's Third Law states that for every action, there is an equal and opposite reaction. In this scenario, the action would be the force exerted by one block on another, and the reaction would be the force exerted by the other block on the first one. Therefore, the magnitude of the forces between the blocks will be equal and opposite.

Based on this understanding, the ranking of the forces from largest to smallest would be:
1. F of floor on 1 and F of 1 on floor - these forces are equal in magnitude and act in opposite directions, so they cancel each other out and have no net effect on the blocks.
2. F of 3 on 2 and F of 2 on 3 - these forces are also equal in magnitude and act in opposite directions, so they cancel each other out and have no net effect on the blocks.
3. F of 2 on 1 and F of 1 on 2 - these forces are equal in magnitude and act in opposite directions, so they cancel each other out and have no net effect on the blocks.
4. F of 3 on 1 and F of 1 on 3 - these forces are equal in magnitude and act in opposite directions, so they cancel each other out and have no net effect on the blocks.

Therefore, the ranking of the forces from largest to smallest would be: F of floor on 1 and F of 1 on floor, F of 3 on 2 and F of 2 on 3, F of 2 on 1 and F of 1 on 2, F of 3 on 1 and F of 1 on 3.
 

Related to How Does Newton's Third Law Apply to Stacked Blocks in an Elevator?

1. What is Newton's Third Law?

Newton's Third Law, also known as the Law of Action and Reaction, 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.

2. How does Newton's Third Law apply to everyday life?

Newton's Third Law can be observed in many everyday situations, such as when we walk. When we take a step forward, our foot exerts a force on the ground, and the ground exerts an equal and opposite force on our foot, allowing us to move forward. It also explains the recoil of a gun when it is fired, as the force of the bullet moving forward is matched by an equal force pushing the gun backward.

3. Is Newton's Third Law always true?

Yes, Newton's Third Law is a fundamental law of physics and is always true. It applies to all types of forces, including gravitational, electromagnetic, and contact forces.

4. How is Newton's Third Law related to the law of conservation of momentum?

Newton's Third Law is closely related to the law of conservation of momentum, which states that the total momentum of a system remains constant in the absence of external forces. This means that when two objects interact, the total momentum of the system will not change, as the forces they exert on each other are equal and opposite.

5. Can Newton's Third Law be violated?

No, Newton's Third Law cannot be violated. It is a fundamental law of nature and has been proven to hold true in all observed situations. However, there may be situations where it appears to be violated, such as when an object is resting on a surface and doesn't appear to have an equal and opposite reaction force. In reality, the surface is exerting a force, but it may be balanced by other forces acting on the object.

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