Explain and derive a formula for the block density

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Reference no: EM13550061

A rectangle block of height L and horizontal cross-section area A floats at the interface between two immiscible liquids.

(a) Derive a formula for the block density, pb, in terms of the fluid densities p1 and p2, the height h0, h1, and h2, and the cross-sectional area A. (It's not necessary that all of these variables appear in the final result.)

(b) Force balances on the block can be calculated in two ways: (1) in terms of the weight of the block and the hydrostatic forces on the upper and lower block surfaces; and (2) in terms of the weight of the block and the buoyant force on the block as expressed by Archimedes' principle. Prove that these two approaches are equivalent.

Reference no: EM13550061

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