University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 37, Problem 37.12E
An unstable particle is created in the upper atmosphere from a cosmic ray and travels straight down toward the surface of the earth with a speed of 0.99540c relative to the earth. A scientist at rest on the earth’s surface measures that the particle is created at an altitude of 45.0 km. (a) As measured by the scientist, how much time does it take the particle to travel the 45.0 km to the surface of the earth? (b) Use the length-contraction formula to calculate the distance from where the particle is created to the surface of the earth as measured in the particle’s frame, (c) In the particle’s frame, how much time does it take the particle to travel from where it is created to the surface of the earth? Calculate this time both by the time dilation formula and from the distance calculated in part (b). Do the two results agree?
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Chapter 37 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 37.1 - As a high-speed spaceship flies past you, it fires...Ch. 37.2 - Stanley, who works for the rail system shown in...Ch. 37.3 - Samir (who is standing on the ground) starts his...Ch. 37.4 - A miniature spaceship is flying past you, moving...Ch. 37.5 - (a) In frame S events P1 and P2 occur at the same...Ch. 37.7 - According to relativistic mechanics, when you...Ch. 37.8 - A proton is accelerated from rest by a constant...Ch. 37 - You are standing on a train platform watching a...Ch. 37 - If simultaneity is not an absolute concept, does...Ch. 37 - A rocket is moving to the right at 12 the speed of...
Ch. 37 - A spaceship is traveling toward the earth from the...Ch. 37 - The average life span in the United States is...Ch. 37 - Prob. 37.6DQCh. 37 - Two events occur at the same space point in a...Ch. 37 - A high-speed train passes a train platform. Larry...Ch. 37 - Prob. 37.9DQCh. 37 - A student asserts that a material particle must...Ch. 37 - The speed of light relative to still water is 2.25...Ch. 37 - Prob. 37.12DQCh. 37 - Prob. 37.13DQCh. 37 - Why do you think the development of Newtonian...Ch. 37 - What do you think would be different in everyday...Ch. 37 - Suppose the two lightning bolts shown in Fig....Ch. 37 - The positive muon (), an unstable particle, lives...Ch. 37 - How fast must a rocket travel relative to the...Ch. 37 - A spaceship flies past Mars with a speed of 0.985c...Ch. 37 - The negative pion () is an unstable particle with...Ch. 37 - As you pilot your space utility vehicle at a...Ch. 37 - A spacecraft flies away from the earth with a...Ch. 37 - An alien spacecraft is flying overhead at a great...Ch. 37 - A spacecraft of the Trade Federation rites past...Ch. 37 - A meter stick moves past you at great speed. Its...Ch. 37 - Why Are We Bombarded by Muons? Muons are unstable...Ch. 37 - An unstable particle is created in the upper...Ch. 37 - As measured by an observer on the earth, a...Ch. 37 - A rocket ship flies past the earth at 91.0% of the...Ch. 37 - An observer in frame S is moving to the right...Ch. 37 - Space pilot Mavis zips past Stanley at a constant...Ch. 37 - A pursuit spacecraft from the planet Tatooine is...Ch. 37 - An enemy spaceship is moving toward your...Ch. 37 - Two particles are created in a high-energy...Ch. 37 - Two particles in a high-energy accelerator...Ch. 37 - Two particles in a high-energy accelerator...Ch. 37 - An imperial spaceship, moving at high speed...Ch. 37 - Tell It to the Judge. (a) How fast must you be...Ch. 37 - Electromagnetic radiation from a star is observed...Ch. 37 - A source of electromagnetic radiation is moving in...Ch. 37 - Relativistic Baseball. Calculate the magnitude of...Ch. 37 - A proton has momentum with magnitude p0 when its...Ch. 37 - When Should You Use Relativity? As you have seen,...Ch. 37 - Prob. 37.29ECh. 37 - An electron is acted upon by a force of 5.00 1015...Ch. 37 - What is the speed of a particle whose kinetic...Ch. 37 - If a muon is traveling at 0.999c, what are its...Ch. 37 - A proton (rest mass 1.67 1027 kg) has total...Ch. 37 - (a) How much work must be done on a particle with...Ch. 37 - An Antimatter Reactor. When a particle meets its...Ch. 37 - Electrons are accelerated through a potential...Ch. 37 - A particle has rest mass 6.64 1027 kg and...Ch. 37 - Creating a Particle. Two protons (each with rest...Ch. 37 - Compute the kinetic energy of a proton (mass 1.67 ...Ch. 37 - What is the kinetic energy of a proton moving at...Ch. 37 - (a) Through what potential difference does an...Ch. 37 - Prob. 37.42ECh. 37 - After being produced in a collision between...Ch. 37 - Inside a spaceship flying past the earth at...Ch. 37 - The starships of the Solar Federation are marked...Ch. 37 - A cube of metal with sides of length a sits at...Ch. 37 - A space probe is sent to the vicinity of the star...Ch. 37 - A muon is created 55.0 km above the surface of the...Ch. 37 - The Large Hadron Collider (LHC). Physicists and...Ch. 37 - The net force F on a particle of mass m is...Ch. 37 - Everyday Time Dilation. Two atomic clocks are...Ch. 37 - The distance to a particular star, as measured in...Ch. 37 - CP erenkov Radiation. The Russian physicist P A....Ch. 37 - Prob. 37.54PCh. 37 - CP A nuclear bomb containing 12.0 kg of plutonium...Ch. 37 - In the earths rest frame, two protons are moving...Ch. 37 - In certain radioactive beta decay processes, the...Ch. 37 - Two events are observed in a frame of reference S...Ch. 37 - One of the wavelengths of light emitted by...Ch. 37 - Albert in Wonderland. Einstein and Lorentz, being...Ch. 37 - Measuring Speed by Radar. A baseball coach uses a...Ch. 37 - Prob. 37.62PCh. 37 - CP In a particle accelerator a proton moves with...Ch. 37 - CP The French physicist Armand Fizeau was the...Ch. 37 - DATA As a research scientist at a linear...Ch. 37 - Prob. 37.66PCh. 37 - DATA You are a scientist studying small aerosol...Ch. 37 - CP Determining the Masses of Stars. Many of the...Ch. 37 - CP Kaon Production. In high-energy physics, new...Ch. 37 - Prob. 37.70CPCh. 37 - An airplane has a length of 60 m when measured at...Ch. 37 - If the airplane of Passage Problem 37.71 has a...Ch. 37 - In our universe, the rest energy of an electron is...Ch. 37 - In the alternate universe, how fast must an object...
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Length contraction: the real explanation; Author: Fermilab;https://www.youtube.com/watch?v=-Poz_95_0RA;License: Standard YouTube License, CC-BY