What is the Correct Solution to a Work, Power, and Energy Problem?

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The discussion centers on a specific work, power, and energy problem where the original poster seeks assistance in finding the correct solution. They mention that their attempt at solving the problem was close but ultimately incorrect. A response indicates that the mistake lies in the calculations for acceleration. The correct answer, according to a reference book, is option (A). Clarification on the acceleration equations is crucial for arriving at the correct solution.
thunderhadron
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Hi friend please help me in solving this issue.
Thank you all in advance.

The problem is as such:


Attempt to the problem:





But the book says answer of the question is option (A)
 
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You did almost everything correctly, but made a mistake solving the equations for acceleration.
 
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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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