What Does the Slope Represent in a Force vs. Acceleration Graph?

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In a Force vs. Acceleration graph, the slope represents the mass of an object, derived from the equation F=ma. The force is plotted on the Y-axis while acceleration is on the X-axis. This relationship shows that mass can be calculated as the ratio of force to acceleration. Rearranging the formula allows for different graphing approaches, but the fundamental interpretation of the slope remains consistent. Understanding this concept is crucial for analyzing the dynamics of motion.
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What does the slope of acceleration and mass mean?

What would be on the Y axis and X axis?
 
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F=ma. m=F/a, which shows that if you use the force applied on the y-axis, with the acceleration on the x-axis, the mass of the object will merely be the slope. You can rearrange that formula in other manners if you want to graph it differently.
 
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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