Concept explainers
Density and pressure in Earth’s atmosphere are proportional: ρ = p/h0g, where h0 = 8.2 km is a constant called the scale height and g is the gravitational acceleration. (a) Integrate Equation 15.2 for this case to show that atmospheric pressure as a function of height h above the surface is given by p = p0e−h/h0, where p0 is the surface pressure. (b) At what height will the pressure have dropped to half its surface value?
Want to see the full answer?
Check out a sample textbook solutionChapter 15 Solutions
Essential University Physics, Volume 1 and Volume 2 - With Access
Additional Science Textbook Solutions
Cosmic Perspective Fundamentals
Lecture- Tutorials for Introductory Astronomy
University Physics with Modern Physics (14th Edition)
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
University Physics Volume 1
Physics: Principles with Applications
- 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_forwardThe weight of Earths atmosphere exerts an average pressure of 1.01 105 Pa on the ground at sea level. Use the definition of pressure to estimate the Height of Earths atmosphere by approximating Earth as a sphere of radius RE = 6.38 106 m and surface area A = 4RE2.arrow_forwardBecause atmospheric pressure is about 105 N/m2 and the area of a persons chest is about 0.13 m2, the force of the atmosphere on ones chest is around 13 000 N. In view of this enormous force, why dont our bodies collapse?arrow_forward
- Acceleration due to gravity is 9.8 m/s2 throughout, unless otherwise stated. Atmospheric pressure is 1.01 x 105 Pa unless otherwise stated. 1. Suppose the pressure at a depth of 5.11 m at a freshwater lake is 142,593. What is the atmospheric pressure in Pascal at the lake's surfaces? 2. What is the pressure at a depth of 6.6 m at a freshwater lake, if the atmospheric is 99,645 at the lake's surface? 3. Metal A has density 4,618 kg/m3 and metal B density 4,618 kg/m3 . Estimate the density of an alloy made of 2.36 m3 of metal A and 2.46 m3 of metal B.arrow_forwardScuba divers want to explore the Mariana Trench, the deepest location on Earth, at 11,034m deep. Assuming the pressure at the boat is atmospheric pressure (101,000Pa) and the water density is 1000kg/m3, what pressure would they feel at this depth? If the human body is able to withstand up to 3x106Pa of pressure, based on your answer, would a person be able to scuba dive to that depth?arrow_forwardEstimate the total mass of the Earth's atmosphere? (The radius of the Earth is 6.37 E6 m, and atmospheric pressure at the surface is 1.01 E5 N/m2.) okay so Im not so sure how to go about this question, i feel like Im missing a constant, perhaps the distance away from the surface of the earth the atmosphere extends?arrow_forward
- 21.Calculate absolute pressure at an ocean depth of 2.4 km. Assume that the density of Water, Pwater is 1.025 x 10^3 kg / m^3 and the atmospheric pressure, Patmosphere = 1.01 10^5 Pa. (Use: acceleration due to gravity, g = 9.8 m / s^2) ?? a. 2.42 x 107 Pa b. 2.02 x 106 Pa c. 1.45 x 105 Pa Oarrow_forwardCalculate the absolute pressure at an ocean depth of 1000m. Assume the density of water as 1.0*10000kg /m3 and 1 atm =1.01*1000000N/m2.arrow_forwardStarting with an atmospheric pressure of 101,325 Pa, express the magnitude of the pressure in the following units: (a) millimeters of mercury (mm Hg), (b) centimeters of mercury (in Hg), and (c) meters of water . The densities of water and mercury are ρH2O = 1,000 kg⁄m3 and ρHg =13,550 kg⁄m3 respectively.arrow_forward
- The Mariana Trench is the deepest oceanic trench on earth. Mt. Everest would comfortably fit in its maximum known depth of 36,037 ft. If the atmospheric pressure is 1 atm, and assuming the density of sea water is a constant 1,020 kg/m3 all the way down, what would be the total pressure on a living organism at the bottom of the trench? 1 m = 3.3 ft a. 1,072 atm b. 1,077 atm c. 3,555 atm d. 3,556 atm e. 1,078 atmarrow_forwardWhat is the pressure experienced by a diver, 20-m below ocean water/s surface? Assume atmospheric pressure of 103 kPa, density of ocean water is 1030 kg/m° A. 103kPa B. 202kPa C. 305kPaarrow_forwardIf the gauge pressure at some depth in the ocean is 3.5 atm, what is the absolute pressure at three times the depth?arrow_forward
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning