University Physics (14th Edition)
University Physics (14th Edition)
14th Edition
ISBN: 9780133969290
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 32, Problem 32.47P

CP Interplanetary space contains many small particles referred to as interplanetary dust. Radiation pressure from the sun sets a lower limit on the size of such dust particles. To see the origin of this limit, consider a spherical dust particle of radius R and mass density ρ. (a) Write an expression for the gravitational force exerted on this particle by the sun (mass M) when the particle is a distance r from the sun. (b) Let L represent the luminosity of the sun, equal to the rate at which it emits energy in electromagnetic radiation. Find the force exerted on the (totally absorbing) particle due to solar radiation pressure, remembering that the intensity of the sun's radiation also depends on the distance r. The relevant area is the cross-sectional area of the particle, not the total surface area of the particle. As part of your answer, explain why this is so. (c) The mass density of a typical interplanetary dust particle is about 3000 kg/m3. Find the particle radius R such that the gravitational and radiation forces acting on the particle are equal in magnitude. The luminosity of the sun is 3.9 × 1026 W. Does your answer depend on the distance of the particle from the sun? Why or why not? (d) Explain why dust particles with a radius less than that found in part (c) are unlikely to be found in the solar system. [Hint: Construct the ratio of the two force expressions found in parts (a) and (b).

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Interplanetary space contains many small particles referred to as interplanetary dust. Radiation pressure from the sun sets a lower limit on the size of such dust particles. To see the origin of this limit, consider a spherical dust particle of radius R and mass density r. (a) Write an expression for the gravitational force exerted on this particle by the sun (mass M) when the particle is a distance r from the sun. (b) Let L represent the luminosity of the sun, equal to the rate at which it emits energy in electromagnetic radiation. Find the force exerted on the (totally absorbing) particle due to solar radiation pressure, remembering that the intensity of the sun’s radiation also depends on the distance r. The relevant area is the cross-sectional area of the particle, not the total surface area of the particle. As part of your answer, explain why this is so. (c) The mass density of a typical interplanetary dust particle is about 3000 kg/m3 . Find the particle radius R such that the…
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Chapter 32 Solutions

University Physics (14th Edition)

Ch. 32 - Prob. Q32.11DQCh. 32 - Prob. Q32.12DQCh. 32 - Does an electromagnetic standing wave have energy?...Ch. 32 - (a) How much time does it take light to travel...Ch. 32 - Consider each of the electric- and magnetic-field...Ch. 32 - Prob. 32.3ECh. 32 - Consider each of the following electric- and...Ch. 32 - BIO Medical X rays. Medical x rays are taken with...Ch. 32 - BIO Ultraviolet Radiation. There are two...Ch. 32 - Prob. 32.7ECh. 32 - Prob. 32.8ECh. 32 - Prob. 32.9ECh. 32 - Prob. 32.10ECh. 32 - Prob. 32.11ECh. 32 - Prob. 32.12ECh. 32 - Prob. 32.13ECh. 32 - An electromagnetic wave with frequency 65.0 Hz...Ch. 32 - Prob. 32.15ECh. 32 - BIO High-Energy Cancer Treatment. Scientists are...Ch. 32 - Prob. 32.17ECh. 32 - A sinusoidal electromagnetic wave from a radio...Ch. 32 - A space probe 2.0 1010 m from a star measures the...Ch. 32 - The energy flow to the earth from sunlight is...Ch. 32 - The intensity of a cylindrical laser beam is 0.800...Ch. 32 - A sinusoidal electromagnetic wave emitted by a...Ch. 32 - Prob. 32.23ECh. 32 - Television Broadcasting. Public television station...Ch. 32 - An intense light source radiates uniformly in all...Ch. 32 - In the 25-ft Space Simulator facility at NASAs Jet...Ch. 32 - BIO Laser Safety. If the eye receives an average...Ch. 32 - A laser beam has diameter 1.20 mm. What is the...Ch. 32 - Laboratory Lasers. He-Ne lasers are often used in...Ch. 32 - Prob. 32.30ECh. 32 - Microwave Oven. The microwaves in a certain...Ch. 32 - Prob. 32.32ECh. 32 - Prob. 32.33PCh. 32 - Prob. 32.34PCh. 32 - Prob. 32.35PCh. 32 - Prob. 32.36PCh. 32 - The sun emits energy in the form of...Ch. 32 - Prob. 32.38PCh. 32 - CP Two square reflectors, each 1.50 cm on a side...Ch. 32 - A source of sinusoidal electromagnetic waves...Ch. 32 - Prob. 32.41PCh. 32 - CP A circular wire loop has a radius of 7.50 cm. A...Ch. 32 - Prob. 32.43PCh. 32 - Prob. 32.44PCh. 32 - CP Global Positioning System (GPS). The GPS...Ch. 32 - Prob. 32.46PCh. 32 - CP Interplanetary space contains many small...Ch. 32 - Prob. 32.48PCh. 32 - DATA Because the speed of light in vacuum (or air)...Ch. 32 - DATA As a physics lab instructor, you conduct an...Ch. 32 - Prob. 32.51CPCh. 32 - Prob. 32.52CPCh. 32 - Prob. 32.53CPCh. 32 - BIO SAFE EXPOSURE TO ELECTROMAGNETIC WAVES. There...Ch. 32 - BIO SAFE EXPOSURE TO ELECTROMAGNETIC WAVES. There...Ch. 32 - Prob. 32.56PP
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