The Cosmic Perspective (9th Edition)
9th Edition
ISBN: 9780134874364
Author: Jeffrey O. Bennett, Megan O. Donahue, Nicholas Schneider, Mark Voit
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter S2, Problem 50EAP
Time Dilation.
- A student, after learning about the theory of relativity, decides to try to prolong his life by spending the rest of his life traveling in a car at 55 miles per hour (89 km/hr). If he does this while 70 years pass in his house, how much time will pass in the car? (Hint: If you are unable to find a difference, be sure to explain why.)
- A more clever student decides to prolong her life by cruising among the stars at a speed of 0.95c. How much time will pass on her spacecraft during a period in which 70 years pass on Earth? Will she feel as if her life span has been extended? Explain.
- Suppose you stay home on Earth while your twin sister takes a trip to a distant star and back in a spaceship that travels at 99% of the
speed of light . If both of you are 25 years old when she leaves and you are 45 years old when she returns, how old is your sister when she gets back?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A severely injured Peter can only live for the next 3.5 hours. Before dying, he wants to go back to Earth which is 5 light-hours away. What should be the minimum cruise speed of the Peter's spaceship so that at least he can make it before he runs out of time?
HINT: The answer is NOT 4.29x108 m/s.
The fastest spacecraft ever launched was the Helios probe, which travelled approximately 70,000 m/s as it passed close to the Sun. The speed of light is 3x 10^8 m/s. Suppose the Helios probe passed by a stationary observer on Earth. The observer can see an accurate clock ticking on the side of the Helios Probe.How many seconds on Earth are equivalent to one second on the Helios probe?
In 2030, the Australian Space Agency launches a spaceship to our nearest neighbour Alpha Centauri, approximately 4 lightyears
away.
According to a clock on Earth how long will the rocket take to get there if it travels at v=0.999c=299482km/s (where 'c' is the
speed of light equal to 299782km/s)?
About 2 years.
O About 6 years.
O About 4 years.
Zero time.
Chapter S2 Solutions
The Cosmic Perspective (9th Edition)
Ch. S2 - Prob. 1EAPCh. S2 - Prob. 2EAPCh. S2 - Prob. 3EAPCh. S2 - Prob. 4EAPCh. S2 - Prob. 5EAPCh. S2 - Suppose you see a friend moving by you at some...Ch. S2 - Prob. 7EAPCh. S2 - Prob. 8EAPCh. S2 - Prob. 9EAPCh. S2 - Prob. 10EAP
Ch. S2 - 11. What is mass increase? How does the mass of an...Ch. S2 - Prob. 12EAPCh. S2 - Prob. 13EAPCh. S2 - Prob. 14EAPCh. S2 - Prob. 15EAPCh. S2 - Prob. 16EAPCh. S2 - Prob. 17EAPCh. S2 - Prob. 18EAPCh. S2 - Prob. 19EAPCh. S2 - Prob. 20EAPCh. S2 - Prob. 21EAPCh. S2 - Prob. 22EAPCh. S2 - Prob. 23EAPCh. S2 - Does It Make Sense? Decide whether the statement...Ch. S2 - Does It Make Sense? Decide whether the statement...Ch. S2 - Prob. 26EAPCh. S2 - Prob. 27EAPCh. S2 - Prob. 28EAPCh. S2 - Prob. 29EAPCh. S2 - Prob. 30EAPCh. S2 - Choose the best answer to each of the following....Ch. S2 - Prob. 32EAPCh. S2 - Prob. 33EAPCh. S2 - 34. What provides the strongest evidence that...Ch. S2 - Prob. 35EAPCh. S2 - Prob. 36EAPCh. S2 - Prob. 38EAPCh. S2 - Prob. 39EAPCh. S2 - Prob. 40EAPCh. S2 - Prob. 42EAPCh. S2 - Prob. 43EAPCh. S2 - Prob. 44EAPCh. S2 - Relative Motion Practice II. In all the following,...Ch. S2 - Prob. 46EAPCh. S2 - Prob. 47EAPCh. S2 - Prob. 48EAPCh. S2 - Prob. 49EAPCh. S2 - Time Dilation. A student, after learning about the...Ch. S2 - Length Contraction. Marta has a spaceship that...Ch. S2 - Mass Increase. A spaceship has a rest mass of...Ch. S2 - Time Dilation with Subatomic Particles. A + meson...Ch. S2 - Time Dilation on the Space Station. The...Ch. S2 - Prob. 56EAPCh. S2 - Racing a Light Beam II. Following his humiliation...
Additional Science Textbook Solutions
Find more solutions based on key concepts
Describe the role and impact of microbes on the earth.
Microbiology Fundamentals: A Clinical Approach
Why are mutants used as test organisms in the Ames test?
Laboratory Experiments in Microbiology (12th Edition) (What's New in Microbiology)
Why do scientists think that all forms of life on earth have a common origin?
Genetics: From Genes to Genomes
Separate the list P,F,V,,T,a,m,L,t, and V into intensive properties, extensive properties, and nonproperties.
Fundamentals Of Thermodynamics
Identify each of the following reproductive barriers as prezygotic or postzygotic. a. One lilac species lives o...
Campbell Essential Biology with Physiology (5th Edition)
Q2. Which statement best defines chemistry?
a. The science that studies solvents, drugs, and insecticides
b. Th...
Introductory Chemistry (6th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- An alien spaceship traveling at 0.600c toward the Earth launches a landing craft. The landing craft travels in the same direction with a speed of 0.800c relative to the mother ship. As measured on the Earth, the spaceship is 0.200 ly from the Earth when the landing craft is launched. (a) What speed do the Earth-based observers measure for the approaching landing craft? (b) What is the distance to the Earth at the moment of the landing crafts launch as measured by the aliens? (c) What travel time is required for the landing craft to reach the Earth as measured by the aliens on the mother ship? (d) If the landing craft has a mass of 4.00 105 kg, what is its kinetic energy as measured in the Earth reference frame?arrow_forward(a) All but the closest galaxies are receding from our own Milky Way Galaxy. If a galaxy 12.0x109ly away is receding from us at 0.900c, at what velocity relative to us must we send an exploratory probe to approach the other galaxy at 0.990c as measured from that galaxy? (b) How long will it take the probe to reach the other galaxy as measured from Earth? You may assume that the velocity of the other galaxy remains constant. (c) How long will it then take for a radio signal to be beamed back? (All of this is possible in principle, but not practical.)arrow_forwardAn observer in a coasting spacecraft moves toward a mirror at speed v relative to the reference frame labeled S in Figure P39.85. The mirror is stationary with respect to S. A light pulse emitted by the spacecraft travels toward the mirror and is reflected back to the spacecraft. The spacecraft is a distance d from the mirror (as measured by observers in S) at the moment the light pulse leaves the spacecraft. What is the total travel time of the pulse as measured by observers in (a) the S frame and (b) the spacecraft?arrow_forward
- A severely injured Peter can only live for the next 3.5 hours. Before dying, he wants to go back to Earth which is 5 light-hours away. What should be the minimum cruise speed of the Peter's spaceship so that at least he can make it before he runs out of time? HINT: The answer is NOT 4.29x108 m/s. Wrong answers will be downvoted. Thank you.arrow_forwardAn astronaut wants to take a trip to a planet that is 10 light-years away from Earth, in the frame of the Earth. (Assume the distance between Earth and the Planet is constant.) a. How fast must the astronaut travel (at constant speed) to arrive at the planet 15 years older? (Express the answer as a fraction of the speed of light.) b. If Earth tells the astronaut just before they leave to send a return radio signal back to Earth, how long should Earth expect to wait for the signal.arrow_forwardAn alien spaceship travels at v=0.999c-299482km/s (where 'c' is the speed of light equal to 299782 km/s) past the International Space Station (ISS) which orbits the Earth. According to NASA, the ISS is approximately 109m long when they finished building it. What length would the alien spaceship measure? Just under 5m. Just over 200m. The same length, 109m. Just under 100m.arrow_forward
- I asked this problem already but was given the wrong solution. We are studying relativity Imagine two civilizations from different planets that have started an intergalactic war. During a space battle, a missile is shot from spaceship one toward spaceship two. The missile leaves the spaceship one at 0.960c (in spaceship one's reference frame) and approaches spaceship two at 0.752c (in spaceship two's reference frame). What is the relative velocity of the two spaceships in units of c? Hint: keep in mind that the two spaceships are approaching each other. Round your answer to three decimal places.arrow_forwardA pirate starship in the distant future is being chased by the space police. The pirates are traveling at 1153 km/h while the police are traveling at 1289 km/h. The pirate ship needs 25 minutes to turn on its faster-than-light drive so it can jump into hyperspace to escape. How long, in minutes, will it take the space police to catch up to the pirates if they are 50 km away from one another?arrow_forwardA law enforcement officer in an intergalactic “police car” turns on a red flashing light and sees it generate a flash every 3.5 s. A person on Earthmeasures that the time between flashes is 4.5 s. How fast is the “policecar” moving relative to the earth?arrow_forward
- A starship voyages to a distant planet 10 ly away. The explorers stay 1 yr, return at the same speed, and arrive back on earth 26 yr after they left. Assume that the time needed to accelerate and decelerate is negligible.a. What is the speed of the starship?b. How much time has elapsed on the astronauts’ chronometers?arrow_forwardA spaceship moves by Earth at 2.8×108 m/s. A satellite moves by Earth in the opposite direction at 1.3×108 m/s. Use the Galilean transformation to calculate the speed vsatellite,x of the satellite relative to the spaceship. vsatellite,x = ? m/sarrow_forward1. Pam is inside a rocket ship flying at a speed of 2.4 x 10^8 m/srelative to Earth. The moment that he flies past Quentin onEarth, their clocks read exactly 12 noon. According toQuentin, what is the time in Pam’s clock when one hourhas elapsed in his clock? 2. A spaceship flies past a space station. An observer in the spaceship measures the spaceship’s length to be 65 m, while an observer in the space station measures the spaceship’s length to be 25 m. Find the spaceship’s speed with respect to the space station. 3. Compute the kinetic energy of a proton (mass 1.67×10^−27 kg) using both the nonrelativistic and relativistic expressions, and compute the ratio of the two results (relativistic divided by nonrelativistic) for speed of 8.00×107 m/s8.00×107 m/s. 4. What is the speed of a proton whose kinetic energy equals its rest energy? 5. An electron moves at 2.85 x 10^8 m/s. Calculate (a) rest energy of the electron, (b) total energy of the electron and (c) kinetic energy of the…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
College PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College
Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
Time Dilation - Einstein's Theory Of Relativity Explained!; Author: Science ABC;https://www.youtube.com/watch?v=yuD34tEpRFw;License: Standard YouTube License, CC-BY