Absolute value of acceleration Help

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The absolute value of acceleration refers to its magnitude without considering direction. In this case, the calculated acceleration is -1.94 m/s², so the absolute value would be 1.94 m/s². The discussion clarifies that the sign indicates direction, but for absolute value, only the numerical part is relevant. It also notes that the mass will not move based on the computed value. Understanding absolute value is essential for correctly interpreting acceleration in physics problems.
Machinehead73
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Absolute value of acceleration Help!

Homework Statement


I am getting a value of -1.94 m/s^2 for my acceleraton. An it wants to know the absolute value of acceleration what do I put down. It also state that the plus or minus is just to indicate direction. But the way the problems is computed the mass will not move.


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The Attempt at a Solution

 
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Absolute value means the magnitude (numerical value) without the sign.
 
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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