A \(50~\text{kg}\) girl wearing high-heeled shoes balances on a single heel. The heel is circular with a diameter of \(1.0~\text{cm}.\) What is the pressure exerted by the heel on the horizontal floor:
1. \( 6.24 \times 10^6 ~\text{Nm}^{-2} \)
2. \( 4.21 \times 10^5 ~\text{Nm}^{-2} \)
3. \( 20 \times 10^6 ~\text{Nm}^{-2}\)
4. \( 1.01 \times 10^5~\text{Nm}^{-2}\)
Subtopic:  Pressure |
 71%
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Toricelli’s barometer used mercury. Pascal duplicated it using French wine of density \(984~\text{kg/m}^3.\) The height of the wine column for normal atmospheric pressure is:
1. \(11.5~\text{m}\)
2. \(10.5~\text{m}\)
3. \(9.00~\text{m}\)
4. \(15.0~\text{m}\)

Subtopic:  Pressure |
 71%
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A hydraulic automobile lift is designed to lift cars with a maximum mass of \(3000\) kg. The area of the cross-section of the piston carrying the load is \(425\) cm2. What maximum pressure would the smaller piston have to bear?
1. \(3.12\times10^{5}\) Pa
2. \(1.01\times10^{5}\) Pa
3. \(2.94\times10^{5}\) Pa
4. 
\(6.92\times10^{5}\) Pa

Subtopic:  Pressure |
 79%
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A U-tube contains water and methylated spirit separated by mercury. The mercury columns in the two arms are in level with \(10.0~\text{cm}\) of water in one arm and \(12.5~\text{cm}\) of spirit in the other. What is the specific gravity of the spirit?

1. \(0.8\)
2. \(0.3\)
3. \(0.5\)
4. \(0.7\)

Subtopic:  Pressure |
 69%
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A tank with a square base of an area of 1.0 m2 is divided by a vertical partition in the middle. The bottom of the partition has a small-hinged door of area 20 cm2. The tank is filled with water in one compartment, and an acid (of relative density 1.7) in the other, both to a height of 4.0 m. What is the force necessary to keep the door close?

1. 54.88 N
2. 56.0 N
3. 60.0 N
4. 45.5 N

Subtopic:  Pressure |
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During a blood transfusion, the needle is inserted in a vein where the gauge pressure is \(2000~\text{Pa}.\) At what height must the blood container be placed so that blood may just enter the vein?
(the density of whole blood is \(1.06\times10^{3}~\text{kg/m}^3\))
1. \(0.163~\text m\) 
2. \(0.192~\text m\)
3. \(0.157~\text m\)
4. \(0.754~\text m\)

Subtopic:  Pressure |
 82%
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