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 18P
A rod moving with a speed v along the horizontal direction is observed to have length ℓ and to make an angle θ with respect to the horizontal as shown in Figure P38.17. (a) Show that the length of the rod as measured by an observer at rest with respect to the rod is ℓp = ℓ[1−( v2/c2) cos2 θ]1/2. (b) Show that the angle θp that the rod makes with the x axis according to an observer at rest with respect to the rod can be found from tan θp = γ tan θ. These results show that the rod is observed to be both contracted and rotated. (Take the lower end of the rod to be at the origin of the coordinate system in which the rod is at rest.)
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Chapter 38 Solutions
Physics for Scientists and Engineers
Ch. 38.1 - Which observer in Figure 38.1 sees the balls...Ch. 38.1 - A baseball pitcher with a 90-mi/h fastball throws...Ch. 38.4 - Suppose the observer O on the train in Figure 38.6...Ch. 38.4 - A crew on a spacecraft watches a movie that is two...Ch. 38.4 - You are packing for a trip to another star. During...Ch. 38.4 - You are observing a spacecraft moving away from...Ch. 38.6 - You are driving on a freeway at a relativistic...Ch. 38.8 - The following pairs of energiesparticle 1: E, 2E;...Ch. 38 - In a laboratory frame of reference, an observer...Ch. 38 - Prob. 2P
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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