Physics (5th Edition)
5th Edition
ISBN: 9780321976444
Author: James S. Walker
Publisher: PEARSON
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Chapter 29, Problem 76GP
A clock at rest has a rectangular shape, with a width of 24 cm and a height of 12 cm. When this clock moves parallel to its width with a certain speed u its width and height are the same. Relative to a clock at rest, how much time does it take for the moving clock to advance by 1.0 s?
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Subatomic particles called pions are created when protons, accelerated to speeds very near c in a particle accelerator, smash into the nucleus of a target atom. Charged pions are unstable particles that decay into muons with a half-life of 1.8 x 10-8 s. Pions have been investigated for use in cancer treatment because they pass through tissue doing minimal damage until they decay, releasing significant energy at that point. The speed of the pions can be adjusted so that the most likely place for the decay is in a tumor.Suppose pions are created in an accelerator, then directed into a medical bay 30 m away. The pions travel at the very high speed of 0.99995c. Without time dilation, half of the pions would have decayed after traveling only 5.4 m, not far enough to make it to the medical bay. Time dilation allows them to survive long enough to reach the medical bay, enter tissue, slow down, and then decay where they are needed, in a tumor.
The proton collision that creates the pion also…
Subatomic particles called pions are created when protons, accelerated to speeds very near c in a particle accelerator, smash into the nucleus of a target atom. Charged pions are unstable particles that decay into muons with a half-life of 1.8 x 10-8 s. Pions have been investigated for use in cancer treatment because they pass through tissue doing minimal damage until they decay, releasing significant energy at that point. The speed of the pions can be adjusted so that the most likely place for the decay is in a tumor.Suppose pions are created in an accelerator, then directed into a medical bay 30 m away. The pions travel at the very high speed of 0.99995c. Without time dilation, half of the pions would have decayed after traveling only 5.4 m, not far enough to make it to the medical bay. Time dilation allows them to survive long enough to reach the medical bay, enter tissue, slow down, and then decay where they are needed, in a tumor.
What is the half-life of a pion in the reference…
Subatomic particles called pions are created when protons, accelerated to speeds very near c in a particle accelerator, smash into the nucleus of a target atom. Charged pions are unstable particles that decay into muons with a half-life of 1.8 x 10-8 s. Pions have been investigated for use in cancer treatment because they pass through tissue doing minimal damage until they decay, releasing significant energy at that point. The speed of the pions can be adjusted so that the most likely place for the decay is in a tumor.Suppose pions are created in an accelerator, then directed into a medical bay 30 m away. The pions travel at the very high speed of 0.99995c. Without time dilation, half of the pions would have decayed after traveling only 5.4 m, not far enough to make it to the medical bay. Time dilation allows them to survive long enough to reach the medical bay, enter tissue, slow down, and then decay where they are needed, in a tumor.
According to the pion, what is the distance it…
Chapter 29 Solutions
Physics (5th Edition)
Ch. 29.1 - Observer 1 shines a beam of light toward observer...Ch. 29.2 - Two identical atomic clocks are manufactured at a...Ch. 29.3 - A horizontal meterstick moving to the right is...Ch. 29.4 - A passenger jogs toward the front of a train with...Ch. 29.5 - Is the relativistic momentum of an object moving...Ch. 29.6 - An object of mass m moves with speed u. Rank the...Ch. 29.7 - If the speed of light were infinite, would the...Ch. 29.8 - Prob. 8EYUCh. 29 - Some distant galaxies are moving away from us at...Ch. 29 - Prob. 2CQ
Ch. 29 - When we view a distant galaxy, we notice that the...Ch. 29 - Prob. 4CQCh. 29 - Give an argument that shows that an object of...Ch. 29 - Section 29-1 The Postulates of Special Relativity ...Ch. 29 - Albert is piloting his spaceship heading east with...Ch. 29 - A street performer tosses a ball straight up into...Ch. 29 - Prob. 4PCECh. 29 - Predict/Explain Suppose you are a traveling...Ch. 29 - A neon sign in front of a cafe flashes on and off...Ch. 29 - A lighthouse sweeps its beam of light around in a...Ch. 29 - As a spaceship flies past with speed u, you...Ch. 29 - How fast should your spacecraft travel so that...Ch. 29 - Usain Bon set a world record for the 100-m dash on...Ch. 29 - (a) Find the average distance (in the Earths frame...Ch. 29 - Referring to Example 29-3, (a) how much does Benny...Ch. 29 - The Pi Meson An elementary particle called a pi...Ch. 29 - Predict/Calculate (a) Is it possible for you to...Ch. 29 - In order to cross the galaxy quickly, a spaceship...Ch. 29 - An observer moving toward Earth with a speed of...Ch. 29 - Predict/Calculate An astronaut moving with a speed...Ch. 29 - BIO Newly sprouted sunflowers can grow at the rate...Ch. 29 - As measured in earths frame of reference, the...Ch. 29 - Captain Jean Luc is piloting the USS Enterprise...Ch. 29 - Prob. 21PCECh. 29 - How fast does a 275-m spaceship move relative to...Ch. 29 - Suppose the speed of light in a vacuum were only...Ch. 29 - A rectangular painting is W = 117 cm wide and H =...Ch. 29 - Prob. 25PCECh. 29 - A cubical box is 0.75 m on a side (a) What are the...Ch. 29 - When parked, your car is 5 8 m long....Ch. 29 - An astronaut travels to a distant star with a...Ch. 29 - Predict/Calculate Laboratory measurements show...Ch. 29 - You and a friend travel through space in identical...Ch. 29 - A ladder 5.0 m long leans against a wall inside a...Ch. 29 - When traveling past an observer with a relative...Ch. 29 - Predict/Calculate The starships Picard and La...Ch. 29 - A spaceship moving toward Earth with a speed of...Ch. 29 - Suppose the probe in Problem 34 is launched in the...Ch. 29 - Suppose the speed of light is 35 mi/h. A paper...Ch. 29 - Two asteroids head straight for Earth from the...Ch. 29 - Two rocket ships approach Earth from opposite...Ch. 29 - A spaceship and an asteroid are moving in the same...Ch. 29 - An electron moves to the right in a laboratory...Ch. 29 - A uranium nucleus is traveling at 0.95c in the...Ch. 29 - Predict/Calculate Two rocket ships are racing...Ch. 29 - A 2.8 106-kg spaceship moves away from Earth with...Ch. 29 - An asteroid with a mass of 8.2 1011-kg is...Ch. 29 - An object has a relativistic momentum that is 8.50...Ch. 29 - A football player with a mass of 88 kg and a speed...Ch. 29 - A space probe with a rest mass of 8 2 107 kg and...Ch. 29 - At what speed does the classical momentum, p = mu,...Ch. 29 - A proton has 1836 times the rest mass of an...Ch. 29 - Star A has a mass of 3 0 1023 kg kg and is...Ch. 29 - Particles A through D have the following rest...Ch. 29 - Find the work that must be done on a proton to...Ch. 29 - A spring with a force constant of 595 N/m is...Ch. 29 - The 15 gallons of gasoline required to refuel your...Ch. 29 - Prob. 55PCECh. 29 - When a proton encounters an antiproton, the two...Ch. 29 - If a neutron moves with a speed of 0.99c, what are...Ch. 29 - A rocket with a mass of 2.7 106 kg has a...Ch. 29 - An object has a total energy that is 4.8 times its...Ch. 29 - Prob. 60PCECh. 29 - A nuclear power plant converts fuel energy at an...Ch. 29 - Prob. 62PCECh. 29 - What is the percent difference between the...Ch. 29 - Predict/Calculate Consider a baseball with a rest...Ch. 29 - A lump of putty with a mass of 0.240 kg and a...Ch. 29 - Prob. 66PCECh. 29 - Prob. 67PCECh. 29 - Prob. 68GPCh. 29 - CE You are standing next to a runway as an...Ch. 29 - CE An apple drops from the bough of a tree to the...Ch. 29 - CE Predict/Explain Consider two apple pies that...Ch. 29 - CE Predict/Explain An uncharged capacitor is...Ch. 29 - Cosmic Rays Protons in cosmic rays have been...Ch. 29 - At the CERN particle accelerator in Geneva,...Ch. 29 - A 14C nucleus, initially at rest, emits a beta...Ch. 29 - A clock at rest has a rectangular shape, with a...Ch. 29 - A starship moving toward Earth with a speed of...Ch. 29 - Prob. 78GPCh. 29 - A 2.5-m titanium rod in a moving spacecraft is at...Ch. 29 - Electrons are accelerated from rest through a...Ch. 29 - The rest energy, m0c2, of a particle with a...Ch. 29 - Predict/Calculate Consider a relativistic air...Ch. 29 - Predict/Calculate In Conceptual Example 29-7...Ch. 29 - A pulsar is a collapsed, rotating star that sends...Ch. 29 - Prob. 85GPCh. 29 - Decay of the Particle When at rest, the particle...Ch. 29 - Prob. 87PPCh. 29 - Prob. 88PPCh. 29 - Prob. 89PPCh. 29 - Prob. 90PPCh. 29 - Referring to Example 29-9 The Picard approaches...Ch. 29 - Referring to Example 29-9 Faraway Point starbase...
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