h (cm) 3.5 3.0 2.5 2.0 1.5 1.0 F 5 10 15 20 25 30 Number of quarters
You have a bucket containing an unknown liquid. You
also have a cube-shaped wooden block that you measure to be 8.0 cm
on a side, but you don’t know the mass or density of the block. To find
the density of the liquid, you perform an experiment. First you place
the wooden block in the liquid and measure the height of the top of the
floating block above the liquid surface. Then you stack various numbers
of U.S. quarter-dollar coins onto the block and measure the new value
of h. The straight line that gives the best fit to the data you have collected
is shown in Fig. . Find the mass of one quarter (see www.
usmint.gov for quarters dated 2012). Use this information and the slope
and intercept of the straight-line fit to your data to calculate (a) the density
of the liquid (in kg/m3) and (b) the mass of the block (in kg).
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