What is the magnitude of each charge?

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To find the magnitude of each charge, the equation for the force between two point charges is applied: F = k*(q1*q2/d^2). Given that the attractive force is 16 N and the distance between the charges is 5 cm (0.05 m), the equation simplifies to 16 N = (9 x 10^9 N*m^2/C^2)(q^2/(0.05 m)^2). Solving for q results in q = √((16 N * (0.05 m)^2) / (9 x 10^9 N*m^2/C^2)). The final calculation yields the magnitude of each charge in Coulombs.
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Homework Statement


Two point charges are separated by 5 cm. The attractive force between them is 16 N. If the two charges attracting each other have equal magnitude, what is the magnitude of each charge?
Enter a number.
Coulombs



Homework Equations


Force =k*(q1*q2/d^2)



The Attempt at a Solution


16N=(9*10^9 N*m^2/C^2)(q1*q2/.223 m)
 
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Just solve for q.
 
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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