A solid cylinder of uniform density of 0.85 g/cm3 floats in a glass of water tin

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 Increase A liquid with a density of 0.76 g/cm3 is poured into the glass. No changeThe cylinder is replaced with one that has the same density and diameter, but with half the height. No change B A liquid with a density of 1.06 g/cm3 is poured into the glass. I . Increase The cylinder is replaced with one that has the same height and diameter, but with density of 0.89 g/cm No changeSome of the water is removed from the glass No change The cylinder is replaced with one that has the same density and height, but 1.5x the diameter. Submit Answer Incorrect. Tries 3/12 Previous Tries

Explanation / Answer

1. as other liquied is poured onto it then it liquid also provide buoyant force that is why block will move upward to reduce it buoyant force to be in balance.

x will increase.

2. mass of cylinder is halved and submered volume have to halved to retain equilibrium.

total height is halved.

h = (X + h_sub)

h/2 = x/2 + h_sub/2

x will be halved.

Ans: decrease

3. that liquid will settle at bottom so no change.

4. density is increased so mass also increases.

so buoyant force will increase so its submerged volume.

x will decrease.

5. x will be same. (No change)

6. NO change

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