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

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SUMMARY

The discussion focuses on the application of Newton's Third Law to a system of three stacked blocks (3 kg, 2 kg, and 1 kg) in a stationary elevator. The forces acting between the blocks and the floor are analyzed, specifically the interactions denoted as F of 3 on 2, F of 2 on 3, F of 3 on 1, F of 1 on 3, F of 2 on 1, F of 1 on 2, F of 1 on floor, and F of floor on 1. The correct ranking of these forces from largest to smallest is established as follows: F of floor on 1, F of 1 on floor, F of 3 on 2, F of 2 on 3, F of 2 on 1, F of 1 on 2, F of 3 on 1, and F of 1 on 3.

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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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can anyone offer any insight if the order stated is correct.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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