Forces in a Line: Examining the Relationship Between Mass and Force

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The discussion revolves around the relationship between mass and force, specifically questioning whether S1 equals mg/2 in a given scenario. Participants analyze the forces acting on the system, focusing on the implications of mass distribution and gravitational force. The reasoning includes examining the equilibrium of forces and the application of Newton's laws. Clarifications on the correct interpretation of the forces involved are provided to support the argument. The conversation emphasizes the importance of understanding fundamental physics principles to solve such problems accurately.
Heexit
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Hello!
1679570465759.png

In the following image, is it true that S1 = mg/2.
Thanks for answears!
 
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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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