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04/11/2021 11:55 am
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(a) How does a boat float in water?
(b) A piece of steel has a volume of 12 cm3, and a mass of 96 g. What is its density:
(i) in g/cm3?
(ii) in kg/m3?
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04/11/2021 12:01 pm
(a) A floating boat displaces water equal to its own weight. This displaced water exerts buoyant force to balance the weight of boat and keep it afloat.
(b) (i) Mass = 96 g
Volume = 12 cm3
Density of substance = \(\frac{Mass\;of\;substance}{volume\;of\;substance}\)
Density of substance = \(\frac{96}{12}\) = 8 g/cm3
(ii) Mass = 96 x 10-3 kg
Volume = 12 x 10-6 m3
Density of substance = \(\frac{Mass\;of\;substance}{volume\;of\;substance}\)
Density of substance = \(\frac{96 \times 10^{-3}}{12 \times 10^{-6}}\)
= 8 x 103 kg/m3