Physics for Scientists and Engineers
Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 38, Problem 15P

Police radar detects the speed of a car (Fig. P38.15) as follows. Microwaves of a precisely known frequency are broadcast toward the car. The moving car reflects the microwaves with a Doppler shift. The reflected waves are received and combined with an attenuated version of the transmitted wave. Beats occur between the two microwave signals. The beat frequency is measured. (a) For an electromagnetic wave reflected back to its source from a mirror approaching at speed v, show that the reflected wave has frequency

f = c + v c v f

where f is the source frequency. (b) Noting that v is much less than c, show that the beat frequency can be written as fbeat = 2v/λ. (c) What beat frequency is measured for a car speed of 30.0 m/s if the microwaves have frequency 10.0 GHz? (d) If the beat frequency measurement in part (c) is accurate to ±5.0 Hz, how accurate is the speed measurement?

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Chapter 38 Solutions

Physics for Scientists and Engineers

Ch. 38 - A meterstick moving at 0.900c relative to the...Ch. 38 - A muon formed high in the Earths atmosphere is...Ch. 38 - A deep-space vehicle moves away from the Earth...Ch. 38 - An astronaut is traveling in a space vehicle...Ch. 38 - For what value of does = 1.010 0? Observe that...Ch. 38 - You have been hired as an expert witness for an...Ch. 38 - A spacecraft with a proper length of 300 m passes...Ch. 38 - A spacecraft with a proper length of Lp passes by...Ch. 38 - A light source recedes from an observer with a...Ch. 38 - A cube of steel has a volume of 1.00 cm3 and mass...Ch. 38 - Review. In 1963, astronaut Gordon Cooper orbited...Ch. 38 - You have an assistantship with a math professor in...Ch. 38 - Police radar detects the speed of a car (Fig....Ch. 38 - Shannon observes two light pulses to be emitted...Ch. 38 - A moving rod is observed to have a length of =...Ch. 38 - A rod moving with a speed v along the horizontal...Ch. 38 - A red light flashes at position xR = 3.00 m and...Ch. 38 - You have been hired as an expert witness in the...Ch. 38 - Figure P38.21 shows a jet of material (at the...Ch. 38 - A spacecraft is launched from the surface of the...Ch. 38 - Calculate the momentum of an electron moving with...Ch. 38 - Prob. 24PCh. 38 - Prob. 25PCh. 38 - Prob. 26PCh. 38 - An unstable particle at rest spontaneously breaks...Ch. 38 - (a) Find the kinetic energy of a 78.0-kg...Ch. 38 - Prob. 29PCh. 38 - Prob. 30PCh. 38 - Protons in an accelerator at the Fermi National...Ch. 38 - You are working for an alternative energy company....Ch. 38 - The total energy of a proton is twice its rest...Ch. 38 - When 1.00 g of hydrogen combines with 8.00 g of...Ch. 38 - The rest energy of an electron is 0.511 MeV. The...Ch. 38 - Prob. 36PCh. 38 - Prob. 37PCh. 38 - Prob. 38PCh. 38 - Prob. 39PCh. 38 - An unstable particle with mass m = 3.34 1027 kg...Ch. 38 - Review. A global positioning system (GPS)...Ch. 38 - Prob. 42APCh. 38 - An astronaut wishes to visit the Andromeda galaxy,...Ch. 38 - Prob. 44APCh. 38 - Prob. 45APCh. 38 - The motion of a transparent medium influences the...Ch. 38 - An object disintegrates into two fragments. One...Ch. 38 - Prob. 48APCh. 38 - Review. Around the core of a nuclear reactor...Ch. 38 - Prob. 50APCh. 38 - Prob. 51APCh. 38 - Prob. 52APCh. 38 - Prob. 53CPCh. 38 - A particle with electric charge q moves along a...Ch. 38 - Suppose our Sun is about to explode. In an effort...
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