Do you know Bernoulli's?

Classical Mechanics Level pending

A fixed cylindrical tank with a large cross sectional area is filled with two liquids of density \(P\) and \(2P\) in equal volume, as shown in the diagram below. A small hole of area \(\sqrt{6}\text{ cm}^2\) is made at height \(15\text{ m}\) from the bottom, and we assume that the gravity is \(g=10\text{ m/s}^2\).

(a) the speed of efflux (in \(\text{SI}\) units)
(b) the cross sectional area (in \(\text{ cm}^2\)) of the stream of the liquid just before it hits the ground.

Provide your answer as the sum of the values found in (a) and (b).


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