College Physics
2nd Edition
ISBN: 9780134601823
Author: ETKINA, Eugenia, Planinšič, G. (gorazd), Van Heuvelen, Alan
Publisher: Pearson,
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Textbook Question
Chapter 26, Problem 11P
26.3-26.6 Simultaneity, Time Dilation, Length Contraction, and Spacetime Diagrams
Extending life? Free neutrons have an average lifetime of about 1000 s before transforming into an electron, a proton, and an anti-neutrino. If a neutron leaves the Sun at a speed of 0.999c, (a) how long does it live according to an Earth observer? (b) Will such a neutron reach Pluto (
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Part 1: Impossible Statements
Which of the following statements are IMPOSSIBLE? Choose all that are.
The rocket's speed was measured to be 0.15c.
The rocket's rest length is 685 m. An observer flying by measured the rocket to be 185 m long.
A rocket flying away from the Sun at 0.53c measured the speed of the photons (particles of light) emitted by the Sun to be c.
An inertial reference frame had an acceleration of 3 m/s².
The proper time interval between two events was measured to be 237 s. The time interval between the same two events (as measured by an observer not in the proper frame) was 167 s.
Part 2: True Statements
Which of the following statements are TRUE? Choose all that are.
The Lorentz factor, y, has a range that extends from zero to infinity.
The range for the velocity of an object extends from 0 m/s to the speed of light.
The elapsed time between two events (as seen in any frame) can never be less than the proper time for those two events.
An object's length (as seen in…
TRUE OR FALSE
1. An object's length will be the same when it travels close to the speed of light.
2. The time will noticeably slow down when travelling at speed close to c.
3. Length and height are being changed because of Special Theory of Relativity.
4. Relativistic mass increases with the speed of an object relative to the reference frame.
5. Relativistic effects are significant only at high speeds or close to the speed of light.
Activity 2.1. Resolving Twin Paradox
Deniece is one of the most promising young Physicist in our country. At the age of
20, she participated on a space journey with a speed of .85c leaving her twin brother Liam
who facilitated the conduct of the said space exploration. In addition, the space journey took
35 years based on Earth's time. Based on this situation, identify the age of the twins after
Deniece successfully returned to Earth. In addition, describe how time dilation affects aging
in the outer space.
Chapter 26 Solutions
College Physics
Ch. 26 - Review Question 26.1 Why is the historical role of...Ch. 26 - Review Question 26.2 Alice is standing on the...Ch. 26 - Review Question 26.3 You hear in your physics...Ch. 26 - Review Question 26.4 You are on a train eating an...Ch. 26 - Prob. 5RQCh. 26 - Prob. 6RQCh. 26 - Prob. 7RQCh. 26 - Review Question 26.8 Why must the classical...Ch. 26 - Prob. 9RQCh. 26 - Prob. 10RQ
Ch. 26 - Prob. 11RQCh. 26 - Prob. 12RQCh. 26 - Prob. 1MCQCh. 26 - Multiple Choice Questions
2. On what did Michelson...Ch. 26 - Multiple Choice Questions Physicists explained the...Ch. 26 - Multiple Choice Questions
4. What is a proper time...Ch. 26 - Prob. 5MCQCh. 26 - Prob. 6MCQCh. 26 - Prob. 7MCQCh. 26 - Prob. 8MCQCh. 26 - Multiple Choice Questions
9. The measurement of...Ch. 26 - Prob. 10MCQCh. 26 - Prob. 11MCQCh. 26 - Multiple Choice Questions Which of the blue world...Ch. 26 - What is an inertial reference frame? How can you...Ch. 26 - 14. Give an example of a phenomenon that an...Ch. 26 - 15. Explain the difference between a proper...Ch. 26 - Prob. 16CQCh. 26 - What does it mean to say that the speed of...Ch. 26 - You move toward a star at a speed of 0.99c. At...Ch. 26 - 19. You pass Earth in a spaceship that moves at...Ch. 26 - It takes light approximately 1010 years to reach...Ch. 26 - Prob. 21CQCh. 26 - Name several ways in which your life would be...Ch. 26 - Prob. 23CQCh. 26 - The classical equation for calculating kinetic...Ch. 26 - How did the Doppler effect for light help...Ch. 26 - Prob. 26CQCh. 26 - Prob. 27CQCh. 26 - Prob. 1PCh. 26 - Prob. 2PCh. 26 - Prob. 3PCh. 26 - Prob. 4PCh. 26 - Prob. 5PCh. 26 - Prob. 6PCh. 26 - Prob. 7PCh. 26 - Prob. 8PCh. 26 - Prob. 9PCh. 26 - Prob. 10PCh. 26 - 26.3-26.6 Simultaneity, Time Dilation, Length...Ch. 26 - Prob. 12PCh. 26 - Prob. 13PCh. 26 - 26.3-26.6 Simultaneity, Time Dilation, Length...Ch. 26 - 26.3-26.6 Simultaneity, Time Dilation, Length...Ch. 26 - 26.3-26.6 Simultaneity, Time Dilation, Length...Ch. 26 - Prob. 17PCh. 26 - 26.3-26.6 Simultaneity, Time Dilation, Length...Ch. 26 - 26.3–26.6 Simultaneity, Time Dilation, Length...Ch. 26 - Prob. 20PCh. 26 - Prob. 21PCh. 26 - 26.3-26.6 Simultaneity, Time Dilation, Length...Ch. 26 - Prob. 23PCh. 26 - Prob. 26PCh. 26 - Prob. 27PCh. 26 - Prob. 28PCh. 26 - Prob. 30PCh. 26 - Prob. 31PCh. 26 - Prob. 32PCh. 26 - 26.9 Relativistic Energy
33. Determine the ratio...Ch. 26 - Prob. 34PCh. 26 - 26.9 Relativistic Energy * At what speed must an...Ch. 26 - Prob. 36PCh. 26 - Prob. 37PCh. 26 - Prob. 38PCh. 26 - Prob. 39PCh. 26 - Prob. 40PCh. 26 - Relativistic Energy * A particle originally moving...Ch. 26 - Prob. 42PCh. 26 - 26.9 Relativistic Energy
43. ** A particle of mass...Ch. 26 - Prob. 44PCh. 26 - Relativistic Energy * Mass equivalent of energy to...Ch. 26 - Prob. 46PCh. 26 - Prob. 47PCh. 26 - Prob. 48PCh. 26 - Prob. 49PCh. 26 - Relativistic Energy 109kg of mass to energy (b)...Ch. 26 - 26.10 Doppler Effect for EM Waves
52. Why no color...Ch. 26 - Prob. 53PCh. 26 - Prob. 54PCh. 26 - Prob. 55PCh. 26 - Prob. 56PCh. 26 - Prob. 57PCh. 26 - 58.* Boat trip A boat's speed is 10 m/s. It makes...Ch. 26 - * Space travel An explorer travels at speed...Ch. 26 - ** A pilot and his spaceship of rest mass 1000 kg...Ch. 26 - * Alice's friends Bob and Charlie are having a...Ch. 26 - Prob. 65GPCh. 26 - 66. ** Space travel A pilot and her spaceship have...Ch. 26 - Prob. 67GPCh. 26 - Prob. 68GPCh. 26 - Prob. 69RPPCh. 26 - Prob. 70RPPCh. 26 - Prob. 71RPPCh. 26 - Prob. 72RPPCh. 26 - Prob. 73RPPCh. 26 - Prob. 74RPPCh. 26 - Prob. 75RPPCh. 26 - Prob. 76RPPCh. 26 - Prob. 77RPPCh. 26 - Prob. 78RPPCh. 26 - Prob. 79RPPCh. 26 - Prob. 80RPP
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- (a) All but the closest galaxies are receding from our own Milky Way Galaxy. If a galaxy 12.0109ly ly away is receding from us at 0. 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 the 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_forward(a) Wliat is the approximate velocity relative to us of a galaxy near the edge of the known universe, some 10 Gly away? (b) What fraction of the speed of light is this? Note that we have observed galaxies moving away from us at greater than 0.9c.arrow_forwardA pulsar is a stellar object that emits light in short bursts. Suppose a pulsar with a speed of 0.950c approaches Earth, and a rocket with a speed of 0.995c heads toward the pulsar. (Both speeds are measured in Earth's frame of reference.) If the pulsar emits 10.0 pulses per second in its own frame of reference, at what rate are the pulses emitted in the rockets frame of reference?arrow_forward
- Near the center of our galaxy, hydrogen gas is moving directly away from us in its orbit about a black hole. We receive 19(N) nm electromagnetic radiation and know that it was 1875 nm when emitted by the hydrogen gas. What is the speed of the gas?arrow_forwardA spacecraft built in the shape of a sphere moves past an observer on the Earth with a speed of 0.500c. What shape does the observer measure for the spacecraft as it goes by? (a) a sphere (b) a cigar shape, elongated along the direction of motion (c) a round pillow shape, flattened along the direction of motion (d) a conical shape, pointing in the direction of motionarrow_forwardAn astronaut is traveling in a space vehicle moving at 0.500c relative to the Earth. The astronaut measures her pulse rate at 75.0 beats per minute. Signals generated by the astronauts pulse are radioed to the Earth when the vehicle is moving in a direction perpendicular to the line that connects the vehicle with an observer on the Earth. (a) What pulse rate does the Earth-based observer measure? (b) What If? What would be the pulse rate if the speed of the space vehicle were increased to 0.990c?arrow_forward
- (a) Calculate the relativistic quantity =11v2/c2for 1.00-TeV protons produced at Fermilab. (b) If such a proton created a +having the same speed, how long would its life be in the laboratory? (c) How far could it travel in this time?arrow_forwardAn interstellar space probe is launched from Earth. After a brief period of acceleration, it moves with a constant velocity, 70.0% of the speed of light. Its nuclear-powered batteries supply the energy to keep its data transmitter active continuously. The batteries have a lifetime of 15.0 years as measured in a rest frame. (a) How long do the batteries on the space probe last as measured by mission control on Earth? (b) How far is the probe from Earth when its batteries fail as measured by mission control? (c) How far is the probe from Earth as measured by its built-in trip odometer when its batteries fail? (d) For what total time after launch are data received from the probe by mission control? Note dial radio waves travel at the speed of light and fill the space between the probe and Earth at the time the battery fails.arrow_forward(a) How long does it take the astronaut in Example 28.2 to travel 4.30 ly at 0.99944c (as measured by the Earth-bound observer)? (b) How long does it take according to the astronaut? (c) Verify that these two times are related through time dilation with =30.00 as given.arrow_forward
- Imagine an astronaut on a trip to Sirius, which lies 8 light-years from Earth. Upon arrival at Sirius, the astronaut finds that the trip lasted 6 years. If the trip was made at a constant speed of 0.8c, how can the 8-light-year distance be reconciled with the 6-year duration?arrow_forwardYou have been hired as an expert witness in the future by an attorney representing the driver of a spacecraft. The driver is accused of exceeding the galactic speed limit of 0.700c relative to the Earth while being chased by a galactic police spacecraft. The driver claims he is innocent, that his speed was well below that limit. You have been provided with the following data: the police spacecraft was traveling at 0.600c while chasing the driver and a technician on the police spacecraft measured the suspected spacecraft as traveling at 0.300c relative to the police spacecraft. What advice should you give the attorney?arrow_forward(a) How fast would an athlete need to be running for a 100-m race to look 100 yd long? (b) Is the answer consistent with the fact that relativistic effects are difficult to observe in ordinary circumstances? Explain.arrow_forward
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Time Dilation - Einstein's Theory Of Relativity Explained!; Author: Science ABC;https://www.youtube.com/watch?v=yuD34tEpRFw;License: Standard YouTube License, CC-BY