We know the ice cube weighed 10 grams initially, and we know it's density (1g/cm^3), so let's apply the formula to determine how much volume the melted ice cube takes. The mass just becomes more dense and smaller - similar to putting blocks back into their original positions in our Jenga tower. Note that the weight will not (and cannot) change. ![]() 92g/cm^3 to that of liquid water (1g/cm^3). So what happens when the ice cube melts? The ice shrinks (decreases volume) and becomes more dense. You can't squeeze a 10.9cm^3 ice cube into a 10cm^3 space, so the rest of the ice cube (about 9% of it) will be floating above the water line. The floating ice cube has a mass of 10 grams, so based on Archimedes' Principle 1, it is displacing 10 grams of water (which has 10cm^3 of volume). Again, the volume of 10 grams of frozen water is more than the volume of 10 grams of its liquid counterpart. 92 grams per cubic centimeter will take up about 10.9 cubic centimeters of space (10g /. By the formula above, 10 grams of mass that has a density of. So let's say that our 10 gram ice cube has a density of only. By the formula above (Mass / Density = Volume) and basic logic, we know that 10 grams of liquid water would take up 10 cubic cm of volume (10g / 1g/cm^3 = 10cm^3). When you start playing it contains a fixed number of blocks, but as you pull out blocks and place them on top, the tower becomes bigger, yet it still has the same mass/weight and number of blocks.įresh, liquid water has a density of 1 gram per cubic centimeter (1g = 1cm^3, every cubic centimeter liquid water will weigh 1 gram). This is why water bottles expand in the freezer. If you take a one pound bottle of water and freeze it, it will still weigh one pound, but the molecules will have spread apart a bit and it will be less dense and take up more volume or space. Water is one of the very few solids that is less dense than when in its liquid form. We know the density (or compactness, weight per unit) of the ice cube is less than that of the liquid water, otherwise it wouldn't be floating. ![]() So, if the ice cube has a mass of 10 grams, then the mass of the water it has displaced will be 10 grams. The ice cube is floating, so based on Archimedes' Principle 1 above, we know that the volume of water being displaced (moved out of the way) is equal in mass (weight) to the mass of the ice cube. If you place water and an ice cube in a cup so that the cup is entirely full to the brim, what happens to the level of water as the ice melts? Does it rise (overflow the cup), stay the same, or lower? Any submerged object displaces a volume of water equal to the object's VOLUME.Any floating object displaces a volume of water equal in weight to the object's MASS.or a fun exploration of volume, mass, density, floatation, global warming, and how to float in a swimming pool. Melting ice and its effect on water levels Melting ice and its effect on water levels
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