10. Create a 4-5 step dimensional analysis question that involves density. Write your question and the solution.
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Convert the density of the metal object from grams per cubic centimeter (g/cm³) to kilograms per cubic meter (kg/m³). Show more…
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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 $\textbf{Fig. P12.86.}$ 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). Figure P12.86 (FIGURE CAN'T COPY)
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You have a bucket containing an unknown liquid. You also have a cube-shaped wooden block that you measure to be $8.0 \mathrm{~cm}$ 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 inFig. P12.86 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 $\mathrm{kg} / \mathrm{m}^{3}$ ) and (b) the mass of the block (in $\mathrm{kg}$ ).
A cubic block with a density of 3 g/cm3 and the side of 20 cm, is floating on the surface a fluid. 14% of the volume of the block is above the surface of the fluid. 1- Draw the free body diagram of the block. 2- Calculate the weight of the block. 3- Calculate the buoyancy force. 4- Calculate the density of the fluid.
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