Rank in order, from largest to smallest, the densities of blocks a, b, and c in FIGURE Q14.6. Explain.
Density in descending order is ρa > ρc > ρb
Given figure shows three blocks floating in liquid.
We know that buoyant force acting on a mass floating in a liquid depends on density or object, submerged volume of object and gravity.
Lets assume three blocks are floating have Volume Va, Vb and Vc and density ρa, ρb and ρc
So density depends on the ratio of submerged volume to the total volume.
From the figure we can see that
This means the densities are in the order
ρa > ρc > ρb
A plastic "boat" with a square cross section floats in a liquid. One by one, you place masses inside the boat and measure how far the boat extends below the surface. Your data are as follows:
Draw an appropriate graph of the data and, from the slope and intercept of the best-fit line, determine the mass of the boat and the density of the liquid.
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