Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 1, Problem 39GP
Global positioning satellites (GPS) can be used to determine positions with great accuracy. If one of the satellites is at a distance of 20,000 km from you, what percent uncertainty in the distance does a 2-m uncertainty represent? How many significant figures are needed in the distance?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
(a)
How many significant figures are in the numbers 999.0 and 1000.0?
999.01000.0
(b)
If the uncertainty in each number is 10, what is the percent uncertainty in each? (Give your answer to 4 significant figures.)
999.0 %1000.0 %
(c)
Which is a more meaningful way to express the accuracy of these two numbers, significant figures or percent uncertainties?
You measure the radius of a sphere as (6.30 ± 0.25) cm, and you measure its mass as (1.72 ± 0.05) kg. What is the density and uncertainty in the density of the sphere, in kilograms per cubic meter?
What is the percent uncertainty in the area of a circle whose radius is 1.8 × 104 cm?
Chapter 1 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 1.3 - The area of a rectangle 4.5 cm by 3.25 cm is...Ch. 1.3 - Do 0.00324 and 0.00056 have the same number of...Ch. 1.3 - For each of the following numbers, state the...Ch. 1.3 - Write each of the following in scientific notation...Ch. 1.5 - There are only 14 eight-thousand-meter peaks in...Ch. 1.5 - Would a driver traveling at 15 m/s in a 35 mi/h...Ch. 1 - Why is it incorrect to think that the more digits...Ch. 1 - When traveling a highway in the mountains, you may...Ch. 1 - What is wrong with this road sign: Memphis 7 mi...Ch. 1 - For an answer to be complete, the units need to be...
Ch. 1 - Discuss how the notion of symmetry could be used...Ch. 1 - You measure the radius of a wheel to be 4.16 cm....Ch. 1 - Express the sine of 30.0 with the correct number...Ch. 1 - A recipe for a souffl specifies that the measured...Ch. 1 - List assumptions useful to estimate the number of...Ch. 1 - Suggest a way to measure the distance from Earth...Ch. 1 - Can you set up a complete set of base quantities,...Ch. 1 - (I) The age of the universe is thought to be about...Ch. 1 - (I) How many significant figures do each of the...Ch. 1 - (I) Write the following numbers in powers of ten...Ch. 1 - (I) Write out the following numbers in full with...Ch. 1 - (II) What is the percent uncertainty in the...Ch. 1 - (II) Time intervals measured with a stopwatch...Ch. 1 - (II) Add (9.2 103 s) + (8.3 104 s) + (0.008 106...Ch. 1 - (II) Multily 2.079 102 m by 0.082 101, taking...Ch. 1 - (III) For small angles , the numerical value of...Ch. 1 - Prob. 10PCh. 1 - (I) Write the following as full (decimal) numbers...Ch. 1 - (I) Express the following using the prefixes of...Ch. 1 - (I) Determine your own height in meters, and your...Ch. 1 - The Sun, on average, is 93 million miles from...Ch. 1 - What is the conversion factor between (a) ft2 and...Ch. 1 - (II) An airplane travels at 950km/h. How long does...Ch. 1 - (II) A typical atom has a diameter of about 1.0 ...Ch. 1 - Prob. 18PCh. 1 - (II) Determine the conversion factor between (a)...Ch. 1 - How much longer (percentage) is a one-mile race...Ch. 1 - (II) A light-year is the distance light travels in...Ch. 1 - (II) If you used only a keyboard to enter data,...Ch. 1 - (III) The diameter of the Moon is 3480km. (a) What...Ch. 1 - (I) Estimate the order of magnitude (power of ten)...Ch. 1 - (II) Estimate how many books can be shelved in a...Ch. 1 - (II) Estimate how many hours it would take a...Ch. 1 - (II) Estimate the number of liters of water a...Ch. 1 - (II) Estimate how long it would take one person to...Ch. 1 - Prob. 30PCh. 1 - (III) You are in a hot air balloon, 200 m above...Ch. 1 - (III) I agree to hire you for 30days and you can...Ch. 1 - (III) Many sailboats are moored at a marina 4.4 km...Ch. 1 - (III) Another experiment you can do also uses the...Ch. 1 - (I) What are the dimensions of density, which is...Ch. 1 - (II) The speed v of an object is given by the...Ch. 1 - (II) Three students derive the following equations...Ch. 1 - Prob. 38PCh. 1 - Global positioning satellites (GPS) can be used to...Ch. 1 - Computer chips (Fig. 113) etched on circular...Ch. 1 - Prob. 41GPCh. 1 - Prob. 42GPCh. 1 - A typical adult human lung contains about 300...Ch. 1 - One hectare is defined as 1.000 104m2. One acre...Ch. 1 - Estimate the number of gallons of gasoline...Ch. 1 - Use Table 13 to estimate the total number of...Ch. 1 - An average family of four uses roughly 1200 L...Ch. 1 - Estimate the number of gumballs in the machine of...Ch. 1 - How big is a ton? Thai is, what is the volume of...Ch. 1 - A certain audio compact disc (CD) contains 783.216...Ch. 1 - Prob. 52GPCh. 1 - Prob. 53GPCh. 1 - Noahs ark was ordered to be 300 cubits long, 50...Ch. 1 - Estimate how many days it would take to walk...Ch. 1 - One liter (1000cm3) of oil is spilled onto a...Ch. 1 - Jean camps beside a wide river and wonders how...Ch. 1 - Prob. 58GPCh. 1 - An angstrom (symbol A) is a unit of length,...Ch. 1 - The diameter of the Moon is 3480 km. What is the...Ch. 1 - Determine the percent uncertainty in , and in sin...Ch. 1 - If you began walking along one of Earths lines of...Ch. 1 - Prob. 63GPCh. 1 - Prob. 65GPCh. 1 - The density of an object is defined as its mass...Ch. 1 - Prob. 67GPCh. 1 - One mole of atoms consists of 6.02 1023...Ch. 1 - Recent findings in astrophysics suggest that the...
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
- A marathon runner completes a 42.188-km course in 2 h, 30 min, and 12s. There is an uncertainty of 25 m in the distance traveled and an uncertainty of 1 s in the elapsed time. (a) Calculate the percent uncertainty in the distance. (b) Calculate the percent uncertainty in the elapsed time. (C) What is the average speed in meters per second? (d) What is the uncertainty in the average speed?arrow_forwardWhen nonmetric units we used in the United Kingdom, a unit of mass called the pound-mass (lbm) was used, where 1 lbm = 0.4539 kg. (a) If there is an uncertainty of 0.0001 kg in the pound-mass unit, what is its percent uncertainty? (b) Based on that percent uncertainty, what mass in pound-mass has an uncertainty of 1 kg when converted to kilograms?arrow_forwardIf the DNA strand in a molecule could be stretched out, it would have a length on the order of 2.0 m. What would this be in feet and inches?arrow_forward
- A person measures his or her heart rate by counting the number of beats in 30s. If 401 beats are counted in 30.00.5s , what is the heart rate and its uncertainty in beats per minute?arrow_forwardWhile a meter is the fundamental unit of length, most distances traveled by humans are measured in miles or kilometers. Why do you think this is?arrow_forwardIn general, when a derived unit becomes complicated (involves too many standard units), what is done?arrow_forward
- A house is advertised as having 1 420 square feet under its roof. What is area in square meters? (a) 4 660 m2(b) 132 m2 (c) 158m2 (d) 132 m2 (e) 10.2m1arrow_forwardSee attached for questionarrow_forward(a) How many significant figures are in the numbers 99.0 and 100.0? 99.0 100.0 (b) If the uncertainty in each number is 1, what is the percent uncertainty in each? (Give your answer to 3 significant figures.) 99.0 % 100.0 % (c) Which is a more meaningful way to express the accuracy of these two numbers, significant figures or percent uncertainties? significant figurespercent uncertaintiesarrow_forward
- Global positioning satellites (GPS) can be used to determine your position with great accuracy. If one of the satellites is 20,000 km from you, and you want to know your position to ±2 m, what percent uncertainty in the distance is required? How many significant figures are needed in the distance?arrow_forwardThe length and width of a rectangular room are measured to be 3.764 + 0.005 m and 4.030 + 0.005 m. Calculate the area of the room and its uncertainty in square meters. (Express your answers to the correct number of significant figures.) area 4.9 15.17 v m2 uncertainty 4 0.03897 m2arrow_forward(a) A car speedometer has a 6% uncertainty. What is the range of possible speeds (in km/h) when it reads 100 km/h? (There are two answers. Enter the lowest value first and the highest value second. For each answer, enter a number.) lowest km/hhighest km/h (b) Convert this to miles per hour. (There are two answers. Enter the lowest value first and the highest value second. For each answer, enter a number.) lowest mi/hhighest mi/harrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
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
College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
An Introduction to Physical SciencePhysicsISBN:9781305079137Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar TorresPublisher:Cengage Learning
AstronomyPhysicsISBN:9781938168284Author:Andrew Fraknoi; David Morrison; Sidney C. WolffPublisher:OpenStax
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
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
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
An Introduction to Physical Science
Physics
ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:Cengage Learning
Astronomy
Physics
ISBN:9781938168284
Author:Andrew Fraknoi; David Morrison; Sidney C. Wolff
Publisher:OpenStax
Math Antics - Scientific Notation; Author: mathantics;https://www.youtube.com/watch?v=bXkewQ7WEdI;License: Standard YouTube License, CC-BY
Physics CH 0: General Introduction (14 of 20) How to Estimate Number of Teachers in US; Author: Michel van Biezen;https://www.youtube.com/watch?v=GBv_JLUzM-M;License: Standard Youtube License