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. \(15.0~\text{m}\)
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
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. \(0.7\)
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
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. \(0.754~\text m\)