A solid cylinder of uniform density of 0.85 g/cm 3 floats in a glass of water ti

Question

A solid cylinder of uniform density of 0.85 g/cm3 floats in a glass of water tinted light blue by food coloring.

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 A liquid with a density of 0.76 g/cm3 is poured into the glass.
2 The cylinder is replaced with one that has the same density and height, but 1.5

A solid cylinder of uniform density of 0.85 g/cm3 floats in a glass of water tinted light blue by food coloring. 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 A liquid with a density of 0.76 g/cm3 is poured into the glass. 2 The cylinder is replaced with one that has the same density and height, but 1.5 A? the diameter. 3 A liquid with a density of 1.06 g/cm3 is poured into the glass. 4 The cylinder is replaced with one that has the same density and diameter, but with 1.5 A? the height. 5 The cylinder is replaced with one that has the same height and diameter, but with density of 0.89 g/cm3. 6 More tinted water is added to the glass.

Explanation / Answer

1. The block will be totally immersed in the new liquid. x will become 0.

2. x is unchanged. Only density and height matters.

3. x increases, as the cylinder will float more.

4. x will also multiply by 1.5. It will increase.

5. x will decrease, as it will sink more.

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