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Two objects of equal volume V=1 ~m ^3 and different densities d₁=500 ~kg / m ^3 and d ₂=1000 ~kg / m ^3 are glued to each other so that their contact surface is flat and has an area A =0.1 ~m ^2 . When the objects are submerged completely in a certain liquid, they float in stable equilibrium, the contact surface being parallel to the surface of the liquid (see the diagram).

Correct answer

3

Step-by-step solution

We have _ 2 g=1500 ~g _ =750 ~kg / m ^3 The area joined by glue is not exposed to the liquid. P is the pressure at glued part = _ g H For not breaking _ V g- _ g H A=F+ ₁ g V H=3 ~m

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