3) If you double the pressure on the surface of a can of water, the buoyant forc

Question

3) If you double the pressure on the surface of a can of water, the buoyant force on a stone placed in that water will
A) Increase, but not double.
B) Double.
C) Decrease, but not by one-half.
D) Not change.

6) A 50-cm3 block of wood is floating partially submerged in water, and a 50-cm3 block of iron is totally submerged in water. Which block has the greater buoyant force on it?
A) the wood
B) the iron
C) Both have the same buoyant force.
D) The answer cannot be determined without knowing the densities of the blocks.

26) Water, of density 1000 kg/m3, is flowing in a drainage channel of rectangular cross-section. The width of the channel is 15 m, the depth of the water is 8.0 m and the speed of the flow is 2.5 m/s. At what rate is water flowing in this channel? Show your work!
A) 2.0

Explanation / Answer

3) Answer - (D) Not change.

Since neither the water or the stone are considered to be compressible, neither will change volume, and the buoyant force Fb = ?*g*V will remain constant.

6) Answer - (B) the iron

buoyant force = rho * g * V
iron has more V submerged therefore has more buoyancy force.

9) The pressure at the bottom = (3*1000*+ h *510)*9.8

=> 5.0 x 10^4 Pa = (3*1000*+ h *510)*9.8 => h = 4.121 m

26) rate of flow = rho*A*v = 1000*(15*8)*(2.5) = 300000 kg/s => Answer is (C) 3.0

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