EBK PHYSICS FOR SCIENTISTS AND ENGINEER
10th Edition
ISBN: 8220106906149
Author: Jewett
Publisher: Cengage Learning US
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Chapter 38, Problem 14P
You have an assistantship with a math professor in a future world where space travel is common and spacecraft regularly achieve near-light speeds. A spacecraft has taken of recently to carry individuals to colonize an Earth-like planet around a nearby star. Your professor, who remains on Earth, is teaching the students on the spacecraft via the future version of distance learning. It is time for the students on the spacecraft to take a math exam. The professor wishes the students to have a time interval Δtp = 2.00 h to complete the exam, so just as the spacecraft passes Earth on its last trip around the Sun at its constant cruising speed of 0.960c, she sends a signal to the proctor to have the students begin the exam. Knowing of your experience in physics courses, the professor asks you to determine the time interval through which she should wait before sending a radio signal to the departing spacecraft to tell the proctor to have the students stop working on the exam.
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Taking a Hike
A hiker begins a trip by first walking 21.0 km southeast from her car. She stops and sets up her tent for the night. On the second day, she walks 46.0 km in a direction 60.0° north of east, at which point she discovers a forest ranger's tower.
y (km)
Can
N
W-DE
45.0°
60.0°
Tent
Tower
B
x (km)
☹
(a) Determine the components of the hiker's displacement for each day.
SOLUTION
Conceptualize We conceptualize the problem by drawing a sketch as in the figure. If we denote the displacement vectors on the first and second days by A and B, respectively, and use the ---Select-- as the origin of coordinates, we obtain the vectors shown in the figure. The sketch allows us to estimate the resultant vector as shown.
Categorize Drawing the resultant R, we can now categorize this problem as one we've solved before: --Select-- of two vectors. You should now have a hint of the power of categorization in that many new problems are very similar to problems we have already solved if we are…
Chapter 38 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
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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