PROBLEMS : A cube of wood floats in oil with a relative density of 0,78 so that half of the cube is out of the oil. The mass of 4.1 the cube is 2 kg. (a) Determine the dimensions of the cube. [0,172 m] (b) To what depth will a 3 kg cube of the same wood sink in sea water with a density of 1 025 kg/m³. [0,075 m] (c) Determine the mass to be added to a 6 kg block of the" same wood so that the block will sink in sea water. [9,765 kg]

PROBLEMS : A cube of wood floats in oil with a relative density of 0,78 so that half of the cube is out of the oil. The mass of 4.1 the cube is 2 kg. (a) Determine the dimensions of the cube. [0,172 m] (b) To what depth will a 3 kg cube of the same wood sink in sea water with a density of 1 025 kg/m³. [0,075 m] (c) Determine the mass to be added to a 6 kg block of the" same wood so that the block will sink in sea water. [9,765 kg]

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

In the United States, electricity is sold using the SI units of kilowatt (kW) or megawatt (MW), and fuel for power generation stations is generally purchased using English units, e.g., British thermal unit (Btu), gallon (gal), and ton. An industrial power plant has an average annual load of 100 MW (electrical). If the overall thermal efficiency is 33% (based on HHV), what is the annual cost of fuel if the plant is fired with (a) natural gas, (b) No. 2 fuel oil, and (c) bituminous coal? Use the data from Tables 2.2, 2.7, and 2.13. Assume the cost of natural gas is $5/million Btu, the cost of No. 2 fuel oil is $3/gal, and the cost of bituminous coal is $60/ton (1 ton = 2000 lbm)
Acetone (nail polish remover) has a density of 0.7857 g/cm^3. What is the volume, in mL, of 6.54 g of acetone?
1. If you place 10.0 L of methanol (CH4O) in a sealed room that is 4.75 m long, 2.5 m wide, and 2.5 m high, will all the methanol evaporate? If some liquid remains, how much will there be? The vapor pressure of methanol is 127 torr at 25 °C, and the density of the liquid at this temperature is 0.791 g/mL. Treat the room dimensions as exact numbers.
1. A special-purpose piece of laboratory glassware, called a pyncnometer; is used to measureLiquid densities. It has a volume of 25 cc, and a mass of 17 .24 g when it is full of air. Whenfilled with a liquid of unknown density, its mass = 45.00 g. What is the density of this liquid?How large an error do we make if we ignore the mass of the air that was in it when we weighed itand found m = 17.24 g?
Acetone (nail polish remover) has a density of 0.7857 g/cm^3. What is the mass, in g, of 28.56 mL of acetone?
Four hundred cubic centimeters of a gas at 740 mm Hg absolute and 18℃ undergoes a process until the pressure becomes 760 mm Hg absolute and the temperature 0℃. What is the final volume of the gas in cc?
For most gases at standard or near standard conditions, the relationshipamong pressure, density, and temperature is given by the perfect gasequation of state: p = ρRT, where R is the specific gas constant. For airat near standard conditions, R = 287 J/(kg · K) in the International System of Units and R = 1716 ft · lb/(slug · ◦R) in the English Engineering System of Units. Using the above information, consider the following two cases: a. At a given point on the wing of a Boeing 727, the pressure andtemperature of the air are 1.9 × 104 N/m2 and 203 K, respectively.Calculate the density at this point.b. At a point in the test section of a supersonic wind tunnel, the pressureand density of the air are 1058 lb/ft2 and 1.23 × 10−3 slug/ft3,respectively. Calculate the temperature at this point.
Fluid mechanics A manometer, utilizing a pitot probe, measures 10 mm of mercury. If the velocity is desired in a pipe transporting water to which the manometer is attached, what additional information in the following list is needed? I. The temperature of the water II. The pressure in the pipe III. The density of the mercury IV. The diameter of the pipe A. I and II B.II and III C.III and IV D.II and IV
An object (SG = 7.3) floats in mercury (SG = 13.6) such that a certain portion is above the liquid surface. If the volume of the object below the liquid surface is 0.014 m3, what is the weight, in kN, of the object? Round off to two decimal places.
In medical work, pressures are often measured in units of mm of H2O because body fluids, including the cerebrospinal fluid, typically have nearly the same density as water. The pressure of the cerebrospinal fluid can be measured by means of a spinal tap. A hollow tube is inserted into the spinal column, and the height to which the fluid rises is observed. If the fluid rises to a height of 160 mm, we write its gauge pressure as 160 mm H2O. (a) Express this pressure in pascals, in atmospheres, and in millimeters of mercury.
In medical work, pressures are often measured in units of mm of H2O because body fluids, including the cerebrospinal fluid, typically have nearly the same density as water. The pressure of the cerebrospinal fluid can be measured by means of a spinal tap. A hollow tube is inserted into the spinal column, and the height to which the fluid rises is observed. If the fluid rises to a height of 160 mm, we write its gauge pressure as 160 mm H2O. a) Sometimes it is necessary to determine whether an accident victim has suffered a crushed vertebra that is blocking the flow of cerebrospinal fluid in the spinal column. In other cases, a physician may suspect that a tumor or other growth is locking the spinal column and inhibiting the flow of cerebrospinal fluid. Such conditions can be investigated by means of the Queckensted test. In this procedure the veins in the patient’s neck are compressed, to make the blood pressure rise in the brain. The increase in pressure in the blood vessels is…
Aeronautical engineers measure the pitching moment M0of a wing and then write it in the following form for use inother cases:M0 =βV2 AC ρ where V is the wing velocity, A the wing area, C the wingchord length, and ρ the air density. What are the dimensionsof the coeffi cient β ?