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## Homework Statement

The formula is w(object)/F(buoy) = [density(object) * V * g] / [density (fluid) * V * g] = [density(object)] / [density(fluid)]

This is way I thought they did it:

w(object) = F(buoy)

w(object) / F(buoy) = 1

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Vsub/V = density(object) / density(fluid)

Since Vsub = V

density(object) / density(fluid) = 1

Since w(object) / F(buoy) = 1 and density(object) / density(fluid) = 1 they must both equal each other.

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Finally we know that w(object) = density(object) * V * g

and F(buoy) = density(object) * V(sub) which is the same as V * g

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Now that I have explained my reasoning onto the question!

Does that mean for any object that is sinking that the ratio of the density of the object will always be equal to the density of fluid, because obviously that isn't always the case but according to this formula that is what it says right?