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Group Name: Blue Group Members: Olga Drogomiretskiy, Ingrid Lee, Asch Warner, Katie Thompson, Rajesh Awal, Drew Barnett 9/29/11

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What is the relation between mass and volume for various objects chosen from a physics laboratory bin?

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Density Equation When the mass of an object increases, the volume should also increase proportionately There should be a linear relationship between the mass and volume of objects with the same densities

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ItemMass (g) Volume (cm^3) Density (g/cm^3) 1210.2 2420.2 3630.2 4840.2 51050.2 Table and graph that illustrate the linear relationship between the mass and volume in this experiment

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Obtain all needed materials Measure and record the mass of each of the metal objects using the electronic scale Fill a 250mL graduated cylinder with150 mL water Drop one object into the graduated cylinder, and record the water displacement Repeat steps 3-4 for each remaining object Calculate and record the densities of each object

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Large cylinder: shiny silver color with tube-like shape Small cylinder: shorter than large cylinder with same shape and shiny silver color Thin cylinder: long skinny cylinder with shiny silver color Rect. cube: rectangular shaped cube, shiny silver color

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ItemMass (g)Volume ()Density () Large cylinder61.447222.8 Small cylinder15.38363 Thin cylinder25.64939 Rect. cube21.67483

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Graph 1: Mass vs. Volume with all four objects including outlier

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Graph 2: Mass vs. Volume for three objects excluding outlier

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Three of the objects (the large cylinder, the small cylinder, and the rect. cube) had very similar densities of approx 3 In the second graph, the three data points that have similar density all fall on the same trend line and have the same slope of 2.9 All three objects with similar densities, the mass increased proportionately to the increase in volume, proving our theory correct The data point excluded from the second graph was the thin cylinder object. Having a density of 8 with a higher density than the other three, this data point was not included in the best fit line and marked as outlier The outlier does not conflict with our theory because its density did not correspond to the other measured objects

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The measurements of four objects were recorded and three of them had the same density. Graphing these three indicated a linear relationship between mass and volume; thus, proving our hypothesis correct. The equation for the best fit line was y = 2.8654x - 1.5514, indicating that the slope, as density, is about 2.9. With the fourth data point seen as an outlier, the average density is the same number.

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