College Physics: A Strategic Approach (4th Edition)
College Physics: A Strategic Approach (4th Edition)
4th Edition
ISBN: 9780134609034
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
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Chapter 27, Problem 83MSPP

MCAT-Style Passage Problems

Pion Therapy

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 × 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 creates a gamma-ray photon traveling in the same direction as the pion. The photon will get to the medical bay first because it is moving faster. What is the speed of the photon in the pion’s reference frame?

A. 0.00005c

B. 0.5c

C. 0.99995c

D. c

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Chapter 27 Solutions

College Physics: A Strategic Approach (4th Edition)

Ch. 27 - Prob. 12CQCh. 27 - In Figure Q27.12, clocks C1 and C2, in frame S are...Ch. 27 - Prob. 14CQCh. 27 - Prob. 15CQCh. 27 - Prob. 16CQCh. 27 - Prob. 17CQCh. 27 - The rocket speeds shown in Figure Q27.18 are...Ch. 27 - Can a particle of mass m have total energy less...Ch. 27 - In your chemistry classes, you have probably...Ch. 27 - Lee and Leigh are twins. At their first birthday...Ch. 27 - A space cowboy wants to eject from his spacecraft...Ch. 27 - Prob. 23MCQCh. 27 - Prob. 24MCQCh. 27 - A particle moving at speed 0.40c has momentum p0....Ch. 27 - A particle moving at speed 0.40c has kinetic...Ch. 27 - A sprinter crosses the finish line of a race. The...Ch. 27 - A baseball pitcher can throw a ball with a speed...Ch. 27 - A boy on a skateboard coasts along at 5 m/s. He...Ch. 27 - A boat takes 3.0 hours to travel 30 km down a...Ch. 27 - When the moving sidewalk at the airport is broken,...Ch. 27 - Prob. 6PCh. 27 - An out-of-control alien spacecraft is diving into...Ch. 27 - Prob. 8PCh. 27 - A starship blasts past the earth at 2.0 103 m/s....Ch. 27 - You are flying at 0.99c with respect to Kara. At...Ch. 27 - Prob. 11PCh. 27 - Bianca is standing at x = 600 m. Firecracker 1, at...Ch. 27 - You are standing at x = 9.0 km Lightning bolt 1...Ch. 27 - A light flashes at position x = 0 m. One...Ch. 27 - Jose is baking to the east. Lightning bolt 1...Ch. 27 - Your 1000-m-long starship has warning lights at...Ch. 27 - There is a lightbulb exactly halfway between the...Ch. 27 - Prob. 18PCh. 27 - A cosmic ray travels 60 km through the earths...Ch. 27 - Prob. 20PCh. 27 - At what speed relative to a laboratory does a...Ch. 27 - Prob. 22PCh. 27 - Prob. 23PCh. 27 - An astronaut travels to a star system 4.5 ly away...Ch. 27 - A subatomic particle moves through the laboratory...Ch. 27 - At what speed as a fraction of c, will a moving...Ch. 27 - Jill claims that her new rocket is 100 m long. As...Ch. 27 - Prob. 28PCh. 27 - A muon travels 60 km through the atmosphere at a...Ch. 27 - Prob. 30PCh. 27 - The Stanford Linear Accelerator (SLAC) accelerates...Ch. 27 - Our Milky Way galaxy is 100,000 ly in diameter. A...Ch. 27 - The X-15 rocket-powered plane holds the record for...Ch. 27 - Youre standing on an asteroid when you see your...Ch. 27 - A rocket cruising past earth at 0.800c shoots a...Ch. 27 - Prob. 36PCh. 27 - A base on Planet X fires a missile toward an...Ch. 27 - Prob. 38PCh. 27 - Prob. 39PCh. 27 - Prob. 40PCh. 27 - Prob. 41PCh. 27 - Prob. 42PCh. 27 - What are the kinetic energy, the rest energy, and...Ch. 27 - Prob. 44PCh. 27 - A quarter-pound hamburger with all the fixings has...Ch. 27 - Prob. 46PCh. 27 - How fast much an electron move so that its total...Ch. 27 - Prob. 48PCh. 27 - At what speed is a particle's kinetic energy twice...Ch. 27 - Prob. 50PCh. 27 - Prob. 51PCh. 27 - Prob. 52PCh. 27 - The chemical energy of gasoline is 46 MJ/kg. If...Ch. 27 - A standard nuclear power plant generates 3.0 GW of...Ch. 27 - A firecracker explodes at x = 0 m, t = 0 s. A...Ch. 27 - Prob. 56GPCh. 27 - Prob. 57GPCh. 27 - A very fast-moving train car passes you, moving to...Ch. 27 - A spaceship heads directly toward an asteroid at a...Ch. 27 - Prob. 60GPCh. 27 - Prob. 61GPCh. 27 - Prob. 62GPCh. 27 - A spaceship flies past an experimenter who...Ch. 27 - Marissas spaceship approaches Josephs at a speed...Ch. 27 - At a speed of 0.90c, a spaceship travels to a star...Ch. 27 - Prob. 66GPCh. 27 - A rocket traveling at 0.500c sets out for the...Ch. 27 - A distant quasar is found to be moving away from...Ch. 27 - A space beacon on Planet Karma emits a pulse of...Ch. 27 - Two rockets, A and B, approach the earth from...Ch. 27 - Prob. 71GPCh. 27 - What is the speed of an electron after being...Ch. 27 - What is the speed of a proton after being...Ch. 27 - Prob. 74GPCh. 27 - What is the total energy, in MeV, of a. A proton...Ch. 27 - Prob. 76GPCh. 27 - The sun radiates energy at the rate 3.8 1026 W....Ch. 27 - The radioactive element radium (Ra) decays by a...Ch. 27 - Prob. 79GPCh. 27 - Prob. 80GPCh. 27 - MCAT-Style Passage Problems Pion Therapy Subatomic...Ch. 27 - MCAT-Style Passage Problems Pion Therapy Subatomic...Ch. 27 - MCAT-Style Passage Problems Pion Therapy Subatomic...Ch. 27 - MCAT-Style Passage Problems Pion Therapy Subatomic...
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