1. A force of 600 N is applied to the small piston of a hydraulic press which area is 12 cm2. What must be the diameter of the large piston if it is applied a force of 8 400N?
2. A cube of 9 cm on each side weighs 50.36 N. What is the mass and the material that it is made up of when it is submerged in alcohol (790 kg/m3)?
3. What volume will 400 g of alcohol occupy? What is the weight and weight density of this volume if the density of the alcohol is 0.79 g/cm3?
4 Calculate the force to be applied on an area of 10 cm2, to produce a pressure of 500 N/m2?
5. A 50 mL test tube is filled with mercury up to a height of 37 cm. Determine the hydrostatic pressure at the bottom and the force being exerted there if the inner radius of the test tube is 1.46 cm. The density of mercury is 13 600 kg/m3
6. Calculate the diameter of the small piston of a hydraulic press that produces a force of 600 N, and the large piston, which diameter is 50 cm, occurs a force of magnitude equal to 5 600 N.
7. A cube of aluminum weighs 0.20 N in the air, if its density is 2.9 g/cm3. What is its apparent weight if it is submerged in a liquid which density is 1.35 g/cm3?
8. An iron cube of 17.5 cm on each side is submerged into water. If it weighs 56 N in air, what is its weight in water?
9. An irregular piece of metal has a weight of 1.544 kg. When it is submerged completely in water, it weighs 14.3472 N. Determine the density of the object and the kind of material it is made of.
10. It was observed that the mass of a fragment of a rock is 9.17 g in the air. When the piece is immersed in a fluid of 873 Kg/m3 of density, its apparent mass is only 7.26 g. What is the density of the rock?
11. A solid object weighs 8 N in the air, when this object is hung from a spring scale and it is submerged into water, its apparent weight is only 6.5 N. What is the density of the object?
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