Calculate the magnitude of the net force on each charge

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To calculate the net force on each charge in a rhombus arrangement, the formula F = Kq1q2/r^2 is applied, considering the distances between charges. Each charge experiences forces due to the other three charges, which must be resolved into x and y components. The symmetry of the rhombus simplifies calculations, allowing for easier summation of forces. Participants in the discussion confirm that breaking down the forces into components is a crucial step in solving the problem. The final goal is to determine the magnitude of the net force acting on each charge.
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Homework Statement


Four objects, each with a positive charge of 1.0 3 1025 C,
are placed at the corners of a 45° rhombus with sides of
length 1.0 m, as in Figure 13. Calculate the magnitude of
the net force on each charge.


Homework Equations


F = Kq1q2/r^2


The Attempt at a Solution

 

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Spinnor said:
Does this get you started?

yes, thank you I was thinking of something like this.
All I got to do now is do find the component of x and y
 
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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