close solutoin list

One interesting (unbelievable?) implication of time dilation is contained in what is called the twin paradox. Imagine identical twins who decide to perform an experiment to test the accuracy of Einstein’s predictions about time dilation. After synchronizing their (identical) clocks, one of the twins enters a spaceship and travels to a distant star at a speed 95 percent that of light. Upon arrival, the traveling twin immediately turns around and heads home at the same speed. According to the twin on Earth, the clock aboard the spaceship runs slower than the one on Earth, SO that the traveling twin ages less than the Earth-hound sibling. But according to the space-faring twin, it is the clock on Earth that is running too slowly, making the stay-at-home twin the younger of the two. This is the paradox: each twin argues that the other will be younger at the end of the trip. How can this paradox be resolved? Which of the two twins is correct in their analysis, and why? If the trip requires a total time of 5 years to make as measured by the clock on Earth, what will be the time recorded for the trip by the clock on board the spaceship?

Chapter 12, Problem 7C
Textbook Problem

One interesting (unbelievable?) implication of time dilation is contained in what is called the twin paradox. Imagine identical twins who decide to perform an experiment to test the accuracy of Einstein’s predictions about time dilation. After synchronizing their (identical) clocks, one of the twins enters a spaceship and travels to a distant star at a speed 95 percent that of light. Upon arrival, the traveling twin immediately turns around and heads home at the same speed. According to the twin on Earth, the clock aboard the spaceship runs slower than the one on Earth, SO that the traveling twin ages less than the Earth-hound sibling. But according to the space-faring twin, it is the clock on Earth that is running too slowly, making the stay-at-home twin the younger of the two. This is the paradox: each twin argues that the other will be younger at the end of the trip. How can this paradox be resolved?

Which of the two twins is correct in their analysis, and why? If the trip requires a total time of 5 years to make as measured by the clock on Earth, what will be the time recorded for the trip by the clock on board the spaceship?

Expert Solution

Want to see this answer and more?

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

See solution

Chapter 12 Solutions

Inquiry into Physics
Show all chapter solutions
Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - (Indicates a review question, which means it...Ch. 12 - The lifetime of a certain type of elementary...Ch. 12 - How fast would a muon have to be traveling...Ch. 12 - The lifetime of a free neutron is 886 s. If a...Ch. 12 - A computer in a laboratory requires to make a...Ch. 12 - The formula for length contraction gives the...Ch. 12 - If an electron is speeding down the two-mile-long...Ch. 12 - Calculate the rest energy of a proton in joules...Ch. 12 - The tau is the heaviest of all the known leptons,...Ch. 12 - If a 1.0-kg mass is completely converted into...Ch. 12 - . In a particular beam of protons, each particle...Ch. 12 - . A particle of rest energy 140 MeV moves at a...Ch. 12 - . If the relativistic kinetic energy of a particle...Ch. 12 - . If a proton and an antiproton, both at rest,...Ch. 12 - . Determine the redshift of a photon whose...Ch. 12 - . Spectral measurements of a distant galaxy show...Ch. 12 - . How many years would you have to wait to observe...Ch. 12 - . If a galaxy is found to have a recessional speed...Ch. 12 - . Sirius B has a mass and radius of kg and m,...Ch. 12 - . A compact neutron star has a mass of kg (about...Ch. 12 - . A 0.1-kg ball connected to a fixed point b a...Ch. 12 - . What is the quark combination corresponding to...Ch. 12 - . Give three (3) combinations of quarks (not...Ch. 12 - . Give all the quark-antiquark pairs that result...Ch. 12 - . Distinguish a particle composed of a combination...Ch. 12 - . The (delta minus) is a short-lived baron with...Ch. 12 - . The F- meson possesses —1 unit of charge, —1...Ch. 12 - . The D- meson is a charmed particle with charge...Ch. 12 - . What is the quark composition of the baryon? It...Ch. 12 - . Analyze the following reactions in terms of...Ch. 12 - . Analyze the following decays in terms of the...Ch. 12 - . The properties of the top quark have been...Ch. 12 - . If the average lifetime of a proton was 1033...Ch. 12 - Show that in the limit of low speeds the...Ch. 12 - Compare the strength of the electric force to that...Ch. 12 - When a proton—antiproton pair at rest annihilates,...Ch. 12 - If the average lifetime of the proton were 10...Ch. 12 - Although doubly charged baryons have been found...Ch. 12 - In the electroweak theory, symmetry breaking...Ch. 12 - One interesting (unbelievable?) implication of...Ch. 12 - Suppose you perform a scattering experiment in...Ch. 12 - The concept of a black hole, that is, an object...Ch. 12 - . Show that time stands still at the Schwarzschild...

Additional Science Textbook Solutions

Find more solutions based on key concepts
Show solutions
Dairy foods such as butter cream, and cream cheese are good sources of calcium, whereas vegetable such as brocc...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

Does every lithospheric plate include a continent?

Fundamentals of Physical Geography

What are the relationships among the terms cofactor, active enzyme, and apoenzyme?

Chemistry for Today: General, Organic, and Biochemistry

Figure P11.13 represents a small, flat puck with mass m = 2.40 kg sliding on a frictionless, horizontal surface...

Physics for Scientists and Engineers, Technology Update (No access codes included)

Can constructive or destructive interference ever be seen on a casual visit to the beach?

Oceanography: An Invitation To Marine Science, Loose-leaf Versin