Modern Physics for Scientists and Engineers
4th Edition
ISBN: 9781133103721
Author: Stephen T. Thornton, Andrew Rex
Publisher: Cengage Learning
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Chapter 2, Problem 11P
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Modern Physics for Scientists and Engineers
Ch. 2 - Michelson used the motion of the Earth around the...Ch. 2 - If you wanted to set out today to find the effects...Ch. 2 - Prob. 3QCh. 2 - Prob. 4QCh. 2 - Prob. 5QCh. 2 - Prob. 6QCh. 2 - Prob. 7QCh. 2 - Prob. 8QCh. 2 - Devise a system for you and three colleagues, at...Ch. 2 - In the experiment to verify time dilation by...
Ch. 2 - Can you think of an experiment to verify length...Ch. 2 - Would it be easier to perform the muon decay...Ch. 2 - On a spacetime diagram, can events above t = 0 but...Ch. 2 - Prob. 14QCh. 2 - What would be a suitable name for events connected...Ch. 2 - Prob. 16QCh. 2 - Prob. 17QCh. 2 - Explain how in the twin paradox, we might arrange...Ch. 2 - In each of the following pairs, which is the more...Ch. 2 - Prob. 20QCh. 2 - Prob. 21QCh. 2 - A salesman driving a very fast car was arrested...Ch. 2 - A salesman driving a very fast car was arrested...Ch. 2 - Show that the form of Newtons second law is...Ch. 2 - Prob. 2PCh. 2 - Prob. 3PCh. 2 - A swimmer wants to swim straight across a river...Ch. 2 - Prob. 5PCh. 2 - Prob. 6PCh. 2 - Prob. 7PCh. 2 - Prob. 8PCh. 2 - Prove that the constancy of the speed of light...Ch. 2 - Prob. 10PCh. 2 - Prob. 11PCh. 2 - Prob. 12PCh. 2 - Two events occur in an inertial system K as...Ch. 2 - Is there a frame K in which the two events...Ch. 2 - Prob. 15PCh. 2 - An event occurs in system K at x = 2 m, y = 3.5 m,...Ch. 2 - Prob. 17PCh. 2 - Prob. 18PCh. 2 - A rocket ship carrying passengers blasts off to go...Ch. 2 - Prob. 20PCh. 2 - Particle physicists use particle track detectors...Ch. 2 - The Apollo astronauts returned from the moon under...Ch. 2 - A clock in a spaceship is observed to run at a...Ch. 2 - A spaceship of length 40 m at rest is observed to...Ch. 2 - Prob. 25PCh. 2 - A mechanism on Earth used to shoot down...Ch. 2 - Prob. 27PCh. 2 - Imagine that in another universe the speed of...Ch. 2 - Prob. 29PCh. 2 - Prob. 30PCh. 2 - Prob. 31PCh. 2 - A proton and an antiproton are moving toward each...Ch. 2 - Imagine the speed of light in another universe to...Ch. 2 - Prob. 34PCh. 2 - Three galaxies are aligned along an axis in the...Ch. 2 - Prob. 36PCh. 2 - Prob. 37PCh. 2 - Consider a reference system placed at the U.S....Ch. 2 - Prob. 39PCh. 2 - Prob. 40PCh. 2 - Use the Lorentz transformation to prove that s2 =...Ch. 2 - Prob. 42PCh. 2 - Prove that for a spacelike interval, two events...Ch. 2 - Given two events, (x1, t1) and (x2, t2), use a...Ch. 2 - Prob. 45PCh. 2 - Consider a fixed and a moving system with their...Ch. 2 - Prob. 47PCh. 2 - An astronaut is said to have tried to get out of a...Ch. 2 - Prob. 49PCh. 2 - Do the complete derivation for Equation (2.33)...Ch. 2 - A spacecraft traveling out of the solar system at...Ch. 2 - Prob. 52PCh. 2 - Prob. 53PCh. 2 - Prob. 54PCh. 2 - Newtons second law is given by F=dp/dt. If the...Ch. 2 - Use the result of the previous problem to show...Ch. 2 - Prob. 57PCh. 2 - Prob. 58PCh. 2 - A particle having a speed of 0.92c has a momentum...Ch. 2 - A particle initially has a speed of 0.5c. At what...Ch. 2 - Prob. 61PCh. 2 - Prob. 62PCh. 2 - Prob. 63PCh. 2 - Prob. 64PCh. 2 - Prob. 65PCh. 2 - Prob. 66PCh. 2 - Prob. 67PCh. 2 - Prob. 68PCh. 2 - Prob. 69PCh. 2 - Prob. 70PCh. 2 - What is the speed of an electron when its kinetic...Ch. 2 - Prob. 72PCh. 2 - Prob. 73PCh. 2 - Prob. 74PCh. 2 - Prob. 75PCh. 2 - Calculate the energy needed to accelerate a...Ch. 2 - Prob. 77PCh. 2 - Prob. 78PCh. 2 - Prob. 79PCh. 2 - Prob. 80PCh. 2 - The Large Hadron Collider at Europes CERN facility...Ch. 2 - What is the kinetic energy of (a) an electron...Ch. 2 - A muon has a mass of 106 MeV/c2. Calculate the...Ch. 2 - Prob. 84PCh. 2 - The reaction 2H + 3H → n + 4He is one of the...Ch. 2 - Instead of one positive charge outside a...Ch. 2 - Prob. 87PCh. 2 - Show that the following form of Newton’s second...Ch. 2 - Prob. 89PCh. 2 - For the twins Frank and Mary described in Section...Ch. 2 - Frank and Mary are twins. Mary jumps on a...Ch. 2 - A police radar gun operates at a frequency of 10.5...Ch. 2 - Prob. 93PCh. 2 - Prob. 94PCh. 2 - A proton moves with a speed of 0.90c. Find the...Ch. 2 - A high-speed K0 meson is traveling at a speed of...Ch. 2 - Prob. 97PCh. 2 - The International Space Federation constructs a...Ch. 2 - Prob. 99PCh. 2 - Prob. 100PCh. 2 - A spaceship is coming directly toward you while...Ch. 2 - Quasars are among the most distant objects in the...Ch. 2 - One possible decay mode of the neutral kaon is K0...Ch. 2 - Prob. 104PCh. 2 - Prob. 105PCh. 2 - Small differences in the wavelengths in the sun’s...
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Suppose the primed and laboratory observers want to measure the length of a rod that rests on the ground horizontally in the space between the helicopter and the tower (Fig. 39.8B). To derive the length transformation L = L (Eq. 39.5), we had to assume that the positions of the two ends were determined simultaneously. What happens to the length transformation equation if both observers measure the end below the helicopter at one time t1 and the other end at a later time t2?
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At what speed does a clock move if it is measured to run at a rate one-half the rate of a clock at rest with respect to an observer?
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As seen from Earth, two spaceships A and B are approaching along perpendicular directions. If A is observed by an Earth observer to have velocity uy = 0.90c and B to have a velocity ux = +0.90c, find the speed of ship A as measured by the pilot of B.
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Owen and Dina are at rest in frame S, which is moving at 0.600c with respect to frame S. They play a game of catch while Ed, at rest in frame S, watches the action (Fig. P9.63). Owen throws the ball to Dina at 0.800c (according to Owen), and their separation (measured in S) is equal to 1.80 1012 m. (a) According to Dina, how fast is the ball moving? (b) According to Dina, what time interval is required for the ball to reach her? According to Ed, (c) how far apart are Owen and Dina, (d) how fast is the ball moving, and (e) what time interval is required for the ball to reach Dina? Figure P9.63
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Suppose our Sun is about to explode. In an effort to escape, we depart in a spaceship at v = 0.80c and head toward the star Tau Ceti, 12 lightyears away. When we reach the midpoint of our journey from the Earth, we see our Sun explode and, unfortunately, at the same instant we see Tau Ceti explode as well. (a) In the spaceship’s frame of reference, should we conclude that the two explosions occurred simultaneously? If not, which occurred first? (b) In a frame of reference in which the Sun and Tau Ceti are at rest, did they explode simultaneously? If not, which exploded first?
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What happens to the relativistic Doppler effect when relative velocity is zero? Is this the expected result?
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A spacecraft is launched from the surface of the Earth with a velocity of 0.600c at an angle of 50.0° above the horizontal, positive x-axis. Another spacecraft is moving past with a velocity of 0.700c in the negative x direction. Determine the magnitude and direction of the velocity of the first spacecraft as measured by the pilot of the second spacecraft.
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Two astronomical events are observed to occur at a time of 0.30 s apart and a distance separation of 2.0109m from each other. How fast must a spacecraft travel from the site of one event toward the other to make the events occur at the same time when measured in the frame of reference of the spacecraft?
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The mass of the fuel in a nuclear reactor decreases by an observable amount as it puts out energy. Is the same true for the coal and oxygen combined in a conventional power plant? If so, is this observable in practice for the coal and oxygen? Explain.
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If the ship moves past the observer at 0.01000c, what length will the observer measure?
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As measured by observers in a reference frame S, a particle having charge q moves with velocity v in a magnetic field B and an electric field E. The resulting force on the particle is then measured to be F = q(E + v × B). Another observer moves along with the charged particle and measures its charge to be q also but measures the electric field to be E′. If both observers are to measure the same force, F, show that E′ = E + v × B.
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A clock on a moving spacecraft runs 1 s slower per day relative to an identical clock on Earth. What is the relative speed of the spacecraft? (Hint: For v/c << 1, note that γ ≈ 1 + v2/2c2.)
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