Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Question
Chapter 1, Problem 16PQ
To determine
Of the statements a and b which one nevertheless uses the term light year correctly.
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Answer both of the following questions regarding Special Relativity:
a) An astronaut leaves their twin behind on Earth and departs on a journey on a spacecraft travelling at a speed of 0.840c. After 40.0 years pass on Earth, the astronaut returns to Earth to find that their age is now different from their twin. How old is the astronaut upon returning to Earth?
b) A muon, travelling at a speed of 0.999c, travels a distance of 10.0 km from the Earth’s atmosphere to a muon detector on the surface of Earth (these distances are considered from Earth’s perspective). How far does the muon travel from its own perspective?
The star 61 Cygni A is 11.4 light-years from Earth. Imagine a spaceship that travels from Earth to 61 Cygni A at a constant speed of 0.921c. On Earth, we would measure the time it takes for the ship to reach the star to be
11.4 ly
0.921c
= 12.4 years.
(a)
How much time (in years) would it take the ship to travel from the Earth to the star as measured by a traveler aboard the ship?
years
(b)
What is the distance to the star (in light years) as measured by a traveler aboard the ship?
ly
The star Epsilon Eridani is 10.4 light-years from Earth. Imagine a spaceship that travels from Earth to Epsilon Eridani at a constant speed of 0.921c. On Earth, we would measure the time it takes for the ship to reach the star to be (10.4ly/0.921c)= 11.2 years.
(a) How much time (in years) would it take the ship to travel from the Earth to the star as measured by a passenger aboard the ship?
years
(b) What is the distance to the star (in light years) as measured by a passenger aboard the ship?
Chapter 1 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 1.5 - To practice using the prefixes in Table 1.1,...Ch. 1.5 - Prob. 1.2CECh. 1.6 - In Einsteins famous equation E = mc2, m stands for...Ch. 1.6 - Prob. 1.4CECh. 1.6 - Prob. 1.5CECh. 1.7 - How many significant figures does each number...Ch. 1.7 - Prob. 1.7CECh. 1 - The average life expectancy in Japan is 81 years....Ch. 1 - If you live in the United States, you probably...Ch. 1 - Prob. 3PQ
Ch. 1 - How many cubic centimeters (cm3) are in one cubic...Ch. 1 - Prob. 5PQCh. 1 - Prob. 6PQCh. 1 - A certain pure 0.9999 gold bullion bar with a mass...Ch. 1 - In Jules Vernes novel, Twenty Thousand Leagues...Ch. 1 - The distance to the Sun is 93 miIlion miles. What...Ch. 1 - A popular unit of measure in the ancient world was...Ch. 1 - CASE STUDY On planet Betatron, mass is measured in...Ch. 1 - Use your weight in pounds to find your mass in...Ch. 1 - A garden snail named Archie, owned by Carl...Ch. 1 - As part of a biology field trip, you have taken an...Ch. 1 - Prob. 15PQCh. 1 - Prob. 16PQCh. 1 - The kilogram Standard is a circular cylinder whose...Ch. 1 - Acceleration a has the dimensions of length per...Ch. 1 - Prob. 19PQCh. 1 - Prob. 20PQCh. 1 - Prob. 21PQCh. 1 - Prob. 22PQCh. 1 - A Later in this book, you will study oscillating...Ch. 1 - Prob. 24PQCh. 1 - Prob. 25PQCh. 1 - Convert 13.7 billion yeans (the age of the...Ch. 1 - How many significant figures does 0.00130 m have?Ch. 1 - A distance with two significant figures divided by...Ch. 1 - Prob. 29PQCh. 1 - Prob. 30PQCh. 1 - Perform the following arithmetic operations,...Ch. 1 - Calculate the result for each of the following...Ch. 1 - Prob. 33PQCh. 1 - In a laboratory, a researcher fails to start a...Ch. 1 - Prob. 35PQCh. 1 - Prob. 36PQCh. 1 - Prob. 37PQCh. 1 - Prob. 39PQCh. 1 - Prob. 41PQCh. 1 - Prob. 43PQCh. 1 - Prob. 44PQCh. 1 - In 2011, artist Hans-Peter Feldmann covered the...Ch. 1 - Prob. 49PQCh. 1 - Convert the following distances into SI units....Ch. 1 - Prob. 51PQCh. 1 - Later in this book, you will learn that sound is a...Ch. 1 - Two decorative spheres are carved from the same...Ch. 1 - Prob. 54PQCh. 1 - Prob. 55PQCh. 1 - Prob. 56PQCh. 1 - During a visit to New York City, Lil decides to...Ch. 1 - Prob. 58PQCh. 1 - You are part of a team in an engineering class...Ch. 1 - Prob. 60PQCh. 1 - A unit of distance used in astronomy is the parsec...
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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
- If astronauts could travel at v = 0.950c, we on Earth would say it takes (4.20/0.950) = 4.42 years to reach Alpha Centauri, 4.20 light-years away. The astronauts disagree. (a) How much time passes on the astronauts clocks? (b) What is the distance to Alpha Centauri as measured by the astronauts?arrow_forwardIf astronauts could travel at v = 0.950c, we on Earth would say it takes (4.20/0.950) = 4.42 years to reach Alpha Centauri, 4.20 light-years away. The astronauts disagree. (a) How much time passes on the astronauts clocks? (b) What is the distance to Alpha Centauri as measured by the astronauts?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_forward
- How could you travel far into the future without aging significantly? Could this method also allow you to travel into the past?arrow_forward. How many years would you have to wait to observe a 1° angular shift in the perihelion of Mercury due to general relativistic effects?arrow_forwardWhich of Einstein’s postulates of special relativity includes a concept that does not ?t with the ideas of classical physics? Explain.arrow_forward
- Suppose a spaceship heading straight toward the at 0.750c can shoot a canister at 0.500c relative to the ship. (a) What is the velocity of the canister relative to Earth, if it is shot directly at Earth? (b) If it is shot directly away from Earth?arrow_forwardIf you use an Earth-based telescope to project a laser beam onto the Moon, you can move the spot across the Moon's surface at a velocity greater than the speed of light. Does this Violate modern relativity? (Note that light is being sent from the Earth to the Moon, not across the surface of the Moon.)arrow_forwarda- A certain star is 18.618.6 light-years away. How long would it take a spacecraft traveling 0.950c to reach that star from Earth, as measured by observers on Earth? 19.6 years b- How long would it take a spacecraft traveling 0.950c to reach that star from Earth, as measured by observers on the spacecraft? 6.11 years c-What is the distance traveled according to observers on the spacecraft? d-What will the spacecraft occupants compute their speed to be from the results of (b) and (c)?arrow_forward
- In 2100, a space ship is sent from Earth to Epsilon Eridini, 10.5 light years away, travelling at a constant speed of 0.6c. Immediately upon arrival the space ship sends a radio signal back to Earth. i. For those who travelled on the space ship, what is the date when the signal is sent? ii. For those on the Earth, what is the date when the signal is received?arrow_forwardA 36,000-kg spaceship is to travel to the vicinity of a star6.6 light-years from Earth. Passengers on the ship want the(one-way) trip to take no more than 1.0 year. How muchwork must be done on the spaceship to bring it to thespeed necessary for this trip?arrow_forwardIf astronauts could travel at v = 0.956c, we on Earth would say it takes (4.20/0.956) = 4.39 years to reach Alpha Centauri, 4.20 light-years away. The astronauts disagree. (a) How much time passes on the astronauts' clocks? years(b) What is the distance to Alpha Centauri as measured by the astronauts? light-yearsarrow_forward
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