What is the mass Density of fluid #3? You have an object of mass M, cross-sectio

Question

What is the mass Density of fluid #3?

You have an object of mass M, cross-sectional area A, and height H. You also know g and F, When this object is placed in liquid #1, it sinks to a depth of H/4 as shown at the right. When the object is placed in liquid #2, a force F is needed to just keep it submerged (i. e. the top of the block is at the same level as the top of the liquid #2). See the figure at right. When the object is placed in liquid #1 and then liquid #3 is carefully poured in on top of liquid #1, the situation is as shown at the right Determine the following in terms of M, A, H, g and F. Show your work and write your answer in the space

Explanation / Answer

Density1*g*(AH/4) = mg

Density2*g*(AH) = mg + F

Density1*g*(AH/6) + Density3*g*(5AH/6) = mg

Hence, Density3 = 2m/5AH

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