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1) A swimming pool has the dimensions 31 m long × 7.2 m wide × 2.1 m deep. When

ID: 1404830 • Letter: 1

Question

1) A swimming pool has the dimensions 31 m long × 7.2 m wide × 2.1 m deep. When it is filled with water, what is the force (resulting from the water alone) on (a) the bottom, (b) each short side, and (c) each long side?

2) In Figure (a), a rectangular block is gradually pushed face-down into a liquid. The block has height d; on the bottom and top the face area is A = 5.90 cm2. Figure (b) gives the apparent weight Wapp of the block as a function of the depth h of its lower face. The scale on the vertical axis is set by Ws = 0.12 N. What is the density (in g/cm3) of the liquid?

Explanation / Answer

Pressure = hg
P = 2.1 * 1000 * 9.8
P = 20,580 N/m^2

Pressure = Force/Area
Force = Pressure* Area
Force = 20,580 * 31 * 7.2 N
Force at the bottom= 4593456 N

Pressure = Force/Area
Force = Pressure* Area
Force = 1/2 * 20,580 * 2.1 * 7.2 N
Force at the short side = 155585 N

Pressure = Force/Area
Force = Pressure* Area
Force = 1/2 * 20,580 * 2.1 * 31 N
Force at the long side = 669879 N



Please post seperate question in seperate post