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11.06.2009

Pepsi vs. Diet Pepsi






In class we compared Pepsi and Diet Pepsi and found some differences. Based on our intial observations, we formed a hypothesis about what would happen when the two cans are submerged in water (our point of reference for density). In order to provide evidence for our claim we measured the mass of each can and the volume was known (given on label). We were then able to calculate the density for Pepsi and Diet Pepsi. The density of Pepsi was calculated to be 1.1g/ml and the density for Diet Pepsi was 1.0g/ml. We observed the cans submerged in water and we noticed that the Pepsi sank to the bottom and the Diet Pepsi floated. As a class we determined the relationship between the densities of the cans and the their floatability. If an object is greater than 1g/ml it will sink in water , if it is equal to zero it will float within the water, and if it is less than 1g/ml it will float . We also determined that Pepsi is denser (heavy for its volume) than Diet Pepsi.

If two objects have the same mass but their volumes differ, which object will be denser?
Explain how "we are driving toward successfully measuring density by using the DMV pyramid".

5 comments:

  1. If two objects have the same mass but their volume is larger it will float and if the mass is the same and the volume is less than the object will sink. The pyramid tells you what to do if we cover what we are looking for. For example is we are looking for density we hide it and we will know that we to divide mass by volume.

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  2. I also agree with kirandeep. If the volume is smaller than youor divisor will be smaller. The smaller your divider is the more bigger quotient you get, in this case density. The density is our quotient the volume is divisor and the mass is the dividend. So if our dividend is same and the divisor is bigger so we have a smaller quotient which means smaller density and the object will float. Now if the divisor is smaller the quotient is bigger and the object sinks because it is heavier.

    Math Lover Yusuf Khan

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  3. I agree with Karendeep. If two objects have the same mass but their volume is larger it will float, and if the mass is the same and the volume is less than the object will sink. To find either the density, volume, or mass you need two out of the three to figure out the third. The way that you do this is that you used the pyramid and cover up the one that you are trying to find. Then you multiply the other two and convert the measuremenet to whichever you require and you have an answer.

    The Pyramid:
    M
    D V

    M- Mass
    D- Density
    V- Volume

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  4. Yusuf you should know that your not the only math lover. As I am also a math lover as well. The thing that is great is that math and science go hand in hand and that really makes you learn more about a subject like volume in both subjects. But as Yusuf said Kirandeep did get it correct. First off the two objects must have the same mass. If the volume is lesser then the mass the object will definitely sink. Same rules apply if there is hte same mass and the volume is greater then it will at least float.

    You can use what Ms. Lindsay likes to call "driving our way to success" the DMV. You cover the D-Density. Then you would have to do mass divided by volume to get our density.

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  5. If two objects have the same mass but their volumes differ, to choose which object is denser depends on how large the volume is. Its like a fraction, mass on top volume on bottom. If the volume is larger than the mass, the object will float on water because water's volume is 1. For example, 9/12 means it will float while 12/9 means it will sink.
    Its pretty easy using the DMV pyramid. on the bottom is D and V and on the top is M. If you have to find out the volume, cover up the V, so it will look like a fraction. Your left with M and D. It looks like M/D because that means you, like with any other fraction, have to divide the top by the bottom. Same thing covering up the D, but different covering up the M. For figuring out M, you have to look at D and V. It looks like the lines on the sides and between the letters look like barracks(parenthesis). It looks like[D[V]. This looks like a multiplication problem, so you have to multiply D x V and this gets you M.

    D=Density
    M=Mass
    V=Volume

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