Group Name: Blue Group Members: Olga Drogomiretskiy, Ingrid Lee,

Asch Warner, Katie Thompson, Rajesh Awal, Drew Barnett

9/29/11

What is the relation between mass and volume for various objects chosen

from a physics laboratory bin?

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

Item Mass (g) Volume

(cm^3)

Density

(g/cm^3)

1 2 10 .2

2 4 20 .2

3 6 30 .2

4 8 40 .2

5 10 50 .2

Table and graph that illustrate the linear relationship between the mass and volume in this experiment

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

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

Item Mass (g) Volume () Density ()

Large cylinder 61.447 22 2.8

Small cylinder 15.383 6 3

Thin cylinder 25.649 3 9

Rect. cube 21.674 8 3

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

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

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

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.