(10%) Problem 7: Bird bones have air pockets in them to reduce their weight. Thi
ID: 1796355 • Letter: #
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(10%) Problem 7: Bird bones have air pockets in them to reduce their weight. This also gives them an average density significantly less than that of the bones of other animals. Suppose an ornithologist weighs a bird bone in air and in water and finds its mass is 475 g and its apparent mass when submerged is 3.75 g (the bone is watertight). 33% Part (a) what mass, in grams, of water is displaced? Grade Summary Deductions0 Potential 100 us Submissions Attempts remaining cotan0 asin acosO atano ac sinh0 oh tan cotan °Degrees Radians 4 5 6 1 2 3 (1% detailed view per atempt) Submit Hint Hinte l% deduction per hint. Hints remaining:- Feedback: deduction per feedback. ii 33% Part) what is the volume, in cubic centimeters, of the bone? 33% Part (c) what is the average density of the bone, in grams per cubic centinneter? Il coma17 Expn TA.LLCExplanation / Answer
mass in air ma = 47.5 g
apparent mass when submerged m = 3.75g
a) mass of the water displaced = apparant mass loss
= mass in air - apparant mass
= 47.5 - 3.75
= 43.75g
b) from Archimedes principle weight of the water displaced = buoyant force
mg = d.g.V
so the volume of the water displaced v = m/d = mass of the water displaced/ density of water
= 43.75 g / 1000 kg/m3
= 43.75 x 10-6 m3 = 43.75cm3
which is equal to the volume of the bone.
hence volume of the bone V = 43.75cm3
c) average density of the bone = mass of the bone in air / Volume
= 47.5 / 43.75
= 1.09 g/cm3
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