Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 1, Problem 3PQ
To determine
The age of the Earth in SI units.
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A rock sample which originally contained 400 grams of radioactive isotope X now contains 25 grams of the material. The half-life of isotope X is 10,000 years. How old is the rock sample? (Give your answer without any punctuation or lables. For example: 15000).
A radioactive isotope has a half-life of 1.2 billion years. As measured by the presence of the isotope and its stable decay product, a rock originally contained 10 grams of the radioactive isotope, and now contains 1.25 grams. Approximately how many years old is the rock?
a parent isotope has a half-life of 500,000 years. if a rock contained 10mg of the parent isotope when it formed, how much parent isotope would be left after 1.5 million years?
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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- A radioactive nucleus has a half-life of 5108 years. Assuming that a sample of rock (say, in an asteroid) solidified right after the solar system formed, approximately what fraction of the radioactive element should be left in the rock today?arrow_forwardGiven that the half-life of carbon-14 is 5,730 years. Consider a sample of fossilized wood that when alive, would have contained 24 gm of carbon-14. It now contains 1.5 gm of carbon-14. How old is the sample?arrow_forwardOne of the fossilized remains of the Taong Tabon you found contains 153 grams of Carbon-14 at time t = 0. If the half-life of Carbon-14 is 5 730 years, how much Carbon-14 remains after 500 years?arrow_forward
- Which of the following is the best way to measure the age of the Earth? Examine rocks collected in my backyard. Analyze maps of all known fossil sites in the United States. Test the rate of decay of specific elements in rock samples. Explore leaves embedded in ash from recent volcanic eruptions.arrow_forwardA fossilized leaf contains 70% Of its normal amount of carbon- 14. How old is the fossil? Use 5730 yesrs as the half-life of carbon- 14.arrow_forwardThe half-life of carbon-14 is 5,730 years. Suppose a fossil is found with 30 percent as much of its carbon -14 as compared to a living sample. How old is the fossil?arrow_forward
- if the amount of the parent isotope in the original sample of a rock had been 48 grams, about how much would have been left after three half-lives?arrow_forwardThe Earth's mid-ocean ridges create about 1.029 cm of new crust over their 1943 km length every year. How much new crustal area (in km2) will this process create in 108 years?arrow_forwardIn a certain rock, the ratio of lead atoms to uranium atoms is 0.300.Assume that uranium has a half-life of 4.47 × 10^9 y and that the rock had no lead atoms when it formed. How old is the rock?arrow_forward
- What is epoch?arrow_forwardA sample of carbon-14 has a mass of 2.0 × 10–6 g. Carbon-14 has a half-life of 6000 years. How much carbon-14 will be left after 24 000 years? How would I sovle this?arrow_forwardThe length (in centimeters) of a typical Pacific halibut t yr old is given approximately by the following. f(t) = 210 (1-0.959e-0.2t) What is the length of a typical 8-yr old Pacific halibut? (Round your answer to the nearest whole number.) ______________cmarrow_forward
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