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ScrubTier
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A solid cylinder of uniform density of 0.85 g/cm3 floats in a glass of water tinted light blue by food coloring.
https://s4.lite.msu.edu/enc/74/b3c49e2ca8cb7c509e3042e72ba7ea7017a9952689b6f0e427ff558774d5f3fbf098898cb4b4f2de9035623ceb3cd36ea31f7d51c48cb6ba67d249dfd4687472f9dc5f4ac2ae0c859d1d39714a7373604f270a8c685ef41773164e58fe8763aa.gif
Its circular surfaces are horizontal. What effect will the following changes, each made to the initial system, have on X, the height of the upper surface above the water? The liquids added do not mix with the water, and the cylinder never hits the bottom.
1. More tinted water is added to the glass.
2. A liquid with a density of 0.76 g/cm3 is poured into the glass.
3. The cylinder is replaced with one that has the same density and diameter, but with 1.5× the height.
4. The cylinder is replaced with one that has the same density and height, but 1.5× the diameter.
5. The cylinder is replaced with one that has the same height and diameter, but with density of 0.83 g/cm3.
6. A liquid with a density of 1.06 g/cm3 is poured into the glass.
Density = Mass/Volume
[/B]
1. No Change- Both densities are the same so no change occurs
2. X Decreases- The lower density liquid will sit on top of the water and the cylinder
3. X increases- A proportional amount to before will be above water and because it is longer more will stick out
4. No Change- Diameter has no effect on density
5. X increases- Since it is now less dense it will float higher
6. No Change- The denser liquid will sink to the bottom and not effect the cylinder
https://s4.lite.msu.edu/enc/74/b3c49e2ca8cb7c509e3042e72ba7ea7017a9952689b6f0e427ff558774d5f3fbf098898cb4b4f2de9035623ceb3cd36ea31f7d51c48cb6ba67d249dfd4687472f9dc5f4ac2ae0c859d1d39714a7373604f270a8c685ef41773164e58fe8763aa.gif
Its circular surfaces are horizontal. What effect will the following changes, each made to the initial system, have on X, the height of the upper surface above the water? The liquids added do not mix with the water, and the cylinder never hits the bottom.
1. More tinted water is added to the glass.
2. A liquid with a density of 0.76 g/cm3 is poured into the glass.
3. The cylinder is replaced with one that has the same density and diameter, but with 1.5× the height.
4. The cylinder is replaced with one that has the same density and height, but 1.5× the diameter.
5. The cylinder is replaced with one that has the same height and diameter, but with density of 0.83 g/cm3.
6. A liquid with a density of 1.06 g/cm3 is poured into the glass.
Homework Equations
Density = Mass/Volume
The Attempt at a Solution
[/B]
1. No Change- Both densities are the same so no change occurs
2. X Decreases- The lower density liquid will sit on top of the water and the cylinder
3. X increases- A proportional amount to before will be above water and because it is longer more will stick out
4. No Change- Diameter has no effect on density
5. X increases- Since it is now less dense it will float higher
6. No Change- The denser liquid will sink to the bottom and not effect the cylinder