# of Nodes / Branches of a Circuit

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The circuit in question is claimed to have 7 branches and 5 nodes, but several participants are only counting 4 nodes. There is uncertainty about the presence of a node between the voltage source and the 2-ohm resistor. Confirmation is provided that there is indeed a node in that location. The discussion highlights the importance of accurately identifying nodes and branches in circuit analysis.
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Is there one between the voltage source and the 2 ohm resistor?
 
eurekameh said:
Is there one between the voltage source and the 2 ohm resistor?

Yes.
 
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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