Concept explainers
At a height of 10 km (33 000 ft) above sea level, atmospheric pressure is about 210 mm of mercury. What is the net resultant normal force on a 600 cm2 window of an airplane flying at this height? Assume the pressure inside the plane is 760 mm of mercury. The density of mercury is 13 600 kg.
(a)
The mass of the dust in a
Answer to Problem 34SP
Solution:
Explanation of Solution
Given data:
The specific gravity of the dust particle is
The diameter of the spherical particle is
The size of the room is
The number of dust particles in
Formula used:
Write the expression of the specific gravity of the material:
Here,
Write the expression for density of the material:
Here,
Explanation:
Calculation for the one dust particle:
Calculate the radius of the dust particle:
Here,
Substitute
Recall the expression of the specific gravity of the dust:
Here,
Rearrange for
Understand that the specific density of the water is
Substitute
Recall the expression of density of the dust.:
Here,
Rearrange for
Understand that the volume is spherical. Hence, calculate the volume of the dust particle by using the formula:
Substitute
Substitute
This is the mass of one dust particle.
Understand that the total number of dust particle in
Therefore, the mass in
Substitute
This is the mass of the dust particle in
The mass of the dust particle in
Here,
This is the total mass of the dust particle in
Conclusion:
Therefore, the mass of the dust particle in
(b)
The mass of the dust in each average breath of
Answer to Problem 34SP
Solution:
Explanation of Solution
Introduction:
If the number of the particle in the volume
Here,
Explanation:
Understand that the mass of the dust particle in
From the previous part, the mass of the dust particle in
The volume of averagebreadth of the air is
Then, mass of the dust particle in
Convert it into small unit:
Conclusion:
Therefore, the mass of the dust in each average breath of
Want to see more full solutions like this?
Chapter 12 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
- A spherical submersible 2.00 m in radius, armed with multiple cameras, descends under water in a region of the Atlantic Ocean known for shipwrecks and finds its first shipwreck at a depth of 1.75 103 m. Seawater has density 1.03 103 kg/m3, and the air pressure at the oceans surface is 1.013 105 Pa. a. What is the absolute pressure at the depth of the shipwreck? b. What is the buoyant force on the submersible at the depth of the shipwreck?arrow_forwardA horizontal pipe 10.0 cm in diameter has a smooth reduction to a pipe 5.00 cm in diameter. If the pressure of the water in the larger pipe is 8.00 104 Pa and the pressure in the smaller pipe is 6.00 104 Pa, at what rate does water flow through the pipes?arrow_forwardThe gravitational force exerted on a solid object is 5.00 N. When the object is suspended from a spring scale and submerged in water, the scale reads 3.50 N (Fig. P15.24). Find the density of the object. Figure P15.24 Problems 24 and 25.arrow_forward
- A tank with a flat bottom of area A and vertical sides is filled to a depth h with water. The pressure is P0 at the top surface. (a) What is the absolute pressure at the bottom of the tank? (b) Suppose an object of mass M and density less than the density of water is placed into the tank and floats. No water overflows. What is the resulting increase in pressure at the bottom of the tank?arrow_forwardHow tall must a water-filled manometer be to measure blood pressures as high as 300 mm Hg?arrow_forwardA spherical weather balloon is filled with hydrogen until its radius is 3.00 m. Its total mass including the instruments it carries is 15.0 kg. (a) Find the buoyant force acting on the balloon, assuming the density of air is 1.29 kg/m3. (b) What is the net force acting on the balloon and its instruments after the balloon is released from the ground? (c) Why does the radius of the balloon tend to increase as it rises to higher altitude?arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College