Physics Fundamentals
2nd Edition
ISBN: 9780971313453
Author: Vincent P. Coletta
Publisher: PHYSICS CURRICULUM+INSTRUCT.INC.
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Chapter 0, Problem 25P
To determine
The volume of earth’s atmosphere.
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How many cubic meters of helium are required to lift a light balloon with a 370-kg payload to a height of 7,998 m? Take pu. = 0.179 kg/m3. Assume the balloon maintains a constant volume and the density of air decreases with the altitude z according to the expression
Pair = Poe-z/8,000, where z is in meters and Po = 1.20 kg/m is the density of air at sea level.
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Calculate the average density of the earth in terms of g, G and R.
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Chapter 0 Solutions
Physics Fundamentals
Ch. 0 - Prob. 1PCh. 0 - Prob. 2PCh. 0 - Prob. 3PCh. 0 - Prob. 4PCh. 0 - Prob. 5PCh. 0 - Prob. 6PCh. 0 - Prob. 7PCh. 0 - Prob. 8PCh. 0 - Prob. 9PCh. 0 - Prob. 10P
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- How many cubic meters of helium are required to lift a balloon with a 400-kg payload to a height of 8 000 m? Take He = 0.179 kg/m3. Assume the balloon maintains a constant volume and the density of air decreases with the altitude z according to the expression air = 0ez/8, where z is in meters and 0 = 1.20 kg/m3 is the density of air at sea level.arrow_forwardHow many cubic meters of helium are required to lift a light balloon with a 400-kg payload to a height of 8 000 m? Take Hc = 0.179 kg/m3. Assume the balloon maintains a constant volume and the density of air decreases with the altitude z according to the expression pair = 0e-z/8 000, where z is in meters and 0 = 1.20 kg/m3 is the density of air at sea level.arrow_forwardGrains of fine California beach sand are approximately spheres with an average radius of 50 μm and are made of silicon dioxide, which has a density of 2.8 × 103 kg/m3. What mass of sand grains would have a total surface area (the total area of all the individual spheres) equal to the surface area of a cube 1.1 m on an edge?arrow_forward
- Variation of Pressure in the atmosphere. The pressure of the atmosphere decreases as we move higher in the atmosphere. The decrease in pressure is proportional to the decrease in density of air. р = 2|2° P P Where P = pressure at any point in the atmosphere, and p = density of air at any point in the atmosphere Po pressure at sea level = 1.013 x 105 Pa, and Po air density at sea level = 1.3 kg/m³. a) What is the density p in terms of po, P, and Po? b) Start from the formula dP = - p g dy to determine the pressure at any height y. Note: P is variable c) What is the pressure if the height is 5.0 km above sea level? d) At what height above sea level is the pressure equal to ½ Po ?arrow_forwardIn the fall of 2002, scientists at Los Alamos National Laboratory determined that the critical mass of neptunium-237 is about 60 kg. The critical mass of a fissionable material is the minimum amount that must be brought together to start a nuclear chain reaction. Neptunium-237 has a density of 19.5 g/cm3. What would be the radius of a sphere of this material that has a critical mass?arrow_forwardDensity of the atmosphere For altitudes h up to 10,000 me- ters, the density D of Earth's atmosphere (in kg/m) can be approximated by the formula D = 1.225 – (1.12 x 10-9)h + (3.24 x 10-)F. Approximate the altitude if the density of the atmosphere is 0.74 kg/m.arrow_forward
- Raw milk is stored at a dairy farm in a refrigerated cylindrical vat 6.50 feet wide and 12.5 feet high. If the vat contains 3.3 x 10² ft³ of milk, how many kg of milk does the vat contain, given that raw milk has a density of 1030 kg/m ? STARTING AMOUNT ADD FACTOR ANSWER RESET ( ) 1030 (0.001) 9.34 12 (2.54)3 0.01 (12) 0.1 1000 9600 10 0.001 (100) 0.083 (0.01) 103000 2.54 100 330 kg/m cm ft in ft in cm kgarrow_forwardAn accomplished silversmith needs an extremely thin sheet of silver. If he starts with a 2.70-kg sheet of silver, and pounds it to a thickness of 5.00 10-7 m (a small fraction of the thickness of a sheet of paper), determine the area of the sheet he has formed. Use 10.1 ⨯ 103 kg/m3 as the density of silver.arrow_forwardAssuming biological substances are 100% water, estimate the mass of a human kidney. Take a kidney to be roughly a sphere with a radius of 4 cm. kgarrow_forward
- The atmospheric pressure (P), in pounds per square inch, at x miles above sea level is given approximately by P = 17.2e -0.21x 0. At what height will the atmospheric pressure be half If sea level pressure is the pressure at x = the sea level pressure?arrow_forwardThe weight of Earth's atmosphere exerts an average pressure of 1.01 ✕ 105 Pa on the ground at sea level. Use the definition of pressure to estimate the weight of Earth's atmosphere (in N) by approximating Earth as a sphere of radius RE = 6.38 ✕ 106 m and surface area A = 4πRE2. Apply the definition of pressure.arrow_forwardOceans cover 71% of the surface of the Earth, and have an average depth of 3700 m. The planet has an average radius of 6370 km, so that the oceans form a very thin layer overall! The deepest known part of the ocean is the Mariana Trench, north of Papua New Guinea and east of the Phillipines, with a depth of almost 11000 m. If Mount Everest was placed at the bottom of the Mariana Trench, it would still be submerged by more than 2000 m! Estimate the volume of water contained in all of the oceans on Earth, and give the result in SI units. Be sure to state your assumptions with your calculation. Oceansarrow_forward
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