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Magazine Problem 26
Estimate the average blood pressure in a person's foot, if the foot is \(1.37 \mathrm{m}\) below the aorta, where the average blood pressure is 104 mm Hg. For the purposes of this estimate, assume the blood isn't flowing.
Problem 27
A Canada goose floats with \(25 \%\) of its volume below water. What is the average density of the goose?
Problem 28
A flat-bottomed barge, loaded with coal, has a mass of $3.0 \times 10^{5}
\mathrm{kg} .\( The barge is \)20.0 \mathrm{m}\( long and \)10.0 \mathrm{m}$ wide.
It floats in fresh water. What is the depth of the barge below the waterline?
(W) tutorial: boat)
Problem 29
(a) When ice floats in water at \(0^{\circ} \mathrm{C},\) what percent of its
volume is submerged? (b) What is the specific gravity of ice?
Problem 30
(a) What is the density of an object that is \(14 \%\) submerged when floating in water at \(0^{\circ} \mathrm{C} ?\) (b) What percentage of the object will be submerged if it is placed in ethanol at \(0^{\circ} \mathrm{C} ?\)
Problem 31
(a) What is the buoyant force on \(0.90 \mathrm{kg}\) of ice floating freely in
liquid water? (b) What is the buoyant force on \(0.90 \mathrm{kg}\) of ice held
completely submerged under water?
Problem 32
A block of birch wood floats in oil with \(90.0 \%\) of its volume submerged.
What is the density of the oil? The density of the birch is $0.67 \mathrm{g} /
\mathrm{cm}^{3} .$
Problem 34
A cylindrical disk has volume \(8.97 \times 10^{-3} \mathrm{m}^{3}\) and mass
\(8.16 \mathrm{kg} .\) The disk is floating on the surface of some water with
its flat surfaces horizontal. The area of each flat surface is $0.640
\mathrm{m}^{2} .$ (a) What is the specific gravity of the disk? (b) How far
below the water level is its bottom surface? (c) How far above the water level
is its top surface?
Problem 35
An aluminum cylinder weighs \(1.03 \mathrm{N}\). When this same cylinder is
completely submerged in alcohol, the volume of the displaced alcohol is $3.90
\times 10^{-5} \mathrm{m}^{3} .$ If the cylinder is suspended from a scale
while submerged in the alcohol, the scale reading is \(0.730 \mathrm{N}\). What
is the specific gravity of the alcohol? (tutorial: ball in beaker).
Problem 36
A fish uses a swim bladder to change its density so it is equal to that of
water, enabling it to remain suspended under water. If a fish has an average
density of \(1080 \mathrm{kg} / \mathrm{m}^{3}\) and mass \(10.0 \mathrm{g}\) with
the bladder completely deflated, to what volume must the fish inflate the swim
bladder in order to remain suspended in seawater of density $1060 \mathrm{kg}
/ \mathrm{m}^{3} ?$
