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mass of One way of restating Archimedes Principle is that the mass of a block that is floating in a fuid is equal to the the fluid displaced by the block. Imagine that we have a solid block in which all of the sides are 1 cm long-a cube with a volume of 1 cm (Fig.A1.4.2A). We set it in a beaker of pure water and find that, when the block and water come to rest, 70% of the block is submerged under water, so a 0.7 cm and b-1.0 cm (Fig. A1.4.2, block (a cube) b Va 1 cm water density (p) - 1.0 g/cm Figure A1.4.2 1. What is the volume of water displaced by the block?cm 2. The density of the water (Pener) is 1.0 g/cm, so what is the mass of water displaced by the block? Multiply the volume of water by the density of the water. The mass of water displaced by the block is g 3. Using the previous answer, apply Archimedes Principle to find the mass of the block. The mass of the entire block (m) 4. The block is a cube with a volume of 1 cm. Now that you know the mass and the volume of the block, what is the density 5. The submerged part of the block is 70% of the total volume of the block, what is the ratio ofthe density of the block to the density of the water; that is, what is Ph k divided by pwam? Express your answer as a percentage (eg.. 0.7-70%) 6. Using words rather than numbers, compare the ratio of the volume of the submerged part of the lock (Vna) to the total volume of the block (Voa) with the ratio of the density of the block (Priock) to the density of the water The ratio lubemerged/Itoal is . _ the ratio Phics/pater- (P. 27
If your teacher has provided a block of wood and a beaker or bond of water, try the fleating block es I. Carefully measure the three dimensions of the woód block and record the lengths 2. Determine the volume of the Mock VS.832 m 3. If one is aalalle, ine a pan balance to measure the mass (m) ofthe block. mwwk-- --g.Now determine the Pkcm density of the blok( which is equal to the wolume diided by the muass 4. Gently place the block in water and wait until it comes to rest. Mark the waterline on the block, and measure the distance the block essended below the waterline. s. Detenmine the volume of the block that was submerged. 6. Calculate the ratio of the volume of the subenerged part of the Mock to the total volume of the block 1. Use Archimedes Principle to find the density of the block m 8. Compare your anwers fos parts C3 and C7, and comment on which seems like i might be a more reliable or simpler method to measare the density of the block ei daul The arag cerut w of ocean water varies with semperature and salinity saltiness), but we will assume a density of 1,025 g/cm 1. Uhe Archimedes Principle to cakculate how much of an iceberng is submerged below sea level Shonw your work Use Archimedes Principle to calculate how much of an iceberg is exposed above sea level Show your work. S. Notice the graph paper grid overlay on the picture of an icebeng in Fig. 1.98 Uise this grid to determine and recond the crosssectional area of this iceberg that is below sea level and the cross-sectional area that is above sea level by together all of the wbole boxes and fractions of boxes iceberg. Use these data to calculate the percentage of tdhe iceberg that is below sea level and the above sea level. How do your results compare to your calculations in sieps DI and DZ adding that overlay the root of the iceberg or the exposed top of the pencentage that is 4. What do you think might happen as the top of the iceberg melt? REFLECT &DISCUSS How much does the melting of an icebeng floating fne Does the liquid level change when an ice cube Beating in in the ocean contribute to sea level rise. mels2)
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0.72 3. Accoy hing Archiwe des Prinaple, the mam c the blodke that XAよ deam b lorr

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