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Question

A tank with a flat bottom of area A and vertical sides is filled to a depth h with water. The pressure is Po at the top surface.

(a) What is the absolute pressure at the bottom of the tank?

(b) Suppose an object of mass M and density less than the density of water is placed into the tank and floats. No water overflows.

What is the resulting increase in pressure at the bottom of the tank?

Solution

VerifiedAnswered 7 months ago

Answered 7 months ago

Step 1

1 of 5We are given a tank whose bottom has an area $A$, the height of the liquid in the tank is $h$, and at the top of the liquid surface is $P_0$.
**a)** We have to determine the absolute pressure at the bottom.
**b)** Now additional object with a density less than the density of water $(\rho_0<\rho_w)$ is placed on the top of the liquid. The mass of the object is $M$. We have to determine the increase in absolute pressure at the bottom of the tank.

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