A solid cylinder of uniform density of 0.85 g/cm 3 floats in a glass of water ti
ID: 1401998 • Letter: A
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.) Increase Decrease No change A liquid with a density of 0.76 g/cm3 is poured into the glass.
2.) Increase Decrease No change The cylinder is replaced with one that has the same density and diameter, but with half the height.
3.) Increase Decrease No change A liquid with a density of 1.06 g/cm3 is poured into the glass.
4.) Increase Decrease No change More tinted water is added to the glass.
5.) Increase Decrease No change The cylinder is replaced with one that has the same density and height, but 1.5× the diameter.
6.) Increase Decrease No change The cylinder is replaced with one that has the same height and diameter, but with density of 0.89 g/cm3.
THE FOLLOWING IS WHAT I HAVE AND IS INCORRECT
1.) Dec
2.) Dec
3.) Inc
4.) No change
5.) No Change
6.)Decrease
I've looked at everyone else's answers who have asked the same question and they all seem to be wrong. Please double check and make sure youre answer is right please!!
Explanation / Answer
(1) Increase , since the density of addded liquid is less.
(2) When height is half then the height above the surface becomes half to that what was the earlier.So
Decreases.
(3) Decreases
Initial case
pbgAH = pwgAH1
0.86 H = H1
After addition of liquid
0.86gAH = 1*gAH1'+ 1.06gA H2
0.86 H = H1'+ 1.06 H2
H1' = 0.86 H - 1.06 H2
where 0.86 H = H1 therefore new height will be less than earlier.
(4) No change
Sorry we are allowed to answer only four subparts.
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