Instantaneous Energy Density: 501 N/C

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The instantaneous energy density in an electromagnetic field with an electric field value of 501 N/C is calculated using the formula: Instantaneous Energy Density = (Electric Field)^2 / (2 * Permittivity of Free Space). Substituting the values, the calculation yields an energy density of approximately 125.50 mJ/m^3. This result is derived from the electric field strength and the permittivity of free space. Thus, the instantaneous energy density at that point is 125.50 mJ/m^3.
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At a given instant of time in an electromagnetic field the Electric Field has a value of 501 N/C. To the nearest hundredth of a mJ/m3, what is the instantaneous energy density at that point?
 
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The instantaneous energy density at that point can be calculated by using the formula:

Instantaneous Energy Density = (Electric Field)^2 / (2 * Permittivity of Free Space)

Substituting the given value of electric field (501 N/C) and the value of permittivity of free space (8.85 * 10^-12 F/m), we get:

Instantaneous Energy Density = (501 N/C)^2 / (2 * 8.85 * 10^-12 F/m)

= 125,501 N^2 / C^2 * m / F

= 125,501 * 10^6 mJ/m^3

= 125.50 mJ/m^3

Therefore, the instantaneous energy density at that point is approximately 125.50 mJ/m^3.
 
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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