What does 'Explain Quantitatively' Mean?

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"Explain quantitatively" requires providing an explanation that includes measurable data and numerical values to support the argument. The term "quantitative" emphasizes the importance of using specific measurements rather than just outlining concepts. This approach contrasts with qualitative explanations, which focus more on descriptive aspects. The discussion highlights a common misunderstanding of the term, clarifying that it involves detailed numerical analysis. Understanding this distinction is crucial for accurately addressing the homework question.
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Homework Statement



I have a question that states "Explain quantitatively why BLAH is true". What does "Explain quantitatively" mean?

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The Attempt at a Solution



I think it means give an outline of the argument, however the word quantity makes me think it might mean the opposite; work out the exact numbers for the argument.

Thanks
 
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Well, think about it. Quantitative sounds like quantity/quantify. Long idea short, it means to explain your answer with the use of measurements and quantifiable data.
 
Thanks for the quick reply. I asked because thinking about it gave me a different answer to the one I have always thought it was. Thanks.
 
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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