Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 1, Problem 32AP
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To explain: The reason for the given situation is impossible.
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In a situation in which data are known to three significant digits, we write 6.379 m = 6.38 m and 6.374 m = 6.37 m. When a number ends in 5, we arbitrarily choose to write 6.375 m = 6.38 m. We could equally well write 6.375 m = 6.37 m, “rounding down” instead of “rounding up,” because we would change the number 6.375 by equal increments in both cases. Now consider an order-of-magnitude estimate, in which factors of change rather than increments are important. We write 500 m ~ 103 m because 500 differs from 100 by a factor of 5 while it differs from 1 000 by only a factor of 2. We write 437 m ~ 103 m and 305 m ~ 102 m. What distance differs from 100 m and from 1 000 m by equal factors so that we could equally well choose to represent its order of magnitude as ~ 102 m or as ~ 103 m?
A builder wants to install wall-to-wall carpeting in a living room of length 8.84 m and width 6.2 m. What is the area of the room (in m2)? Express your answer using the proper number of significant figures.
For the multiplication of 7.443m times 8.5m, the result should be reported with how many significant figures?
a) one
b) two
c) seven
d) four
e) three
Chapter 1 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 1.1 - In a machine shop, two cams are produced, one of...Ch. 1.3 - True or False: Dimensional analysis can give you...Ch. 1.4 - The distance between two cities is 100 mi. What is...Ch. 1 - Prob. 1PCh. 1 - Prob. 2PCh. 1 - Prob. 3PCh. 1 - Prob. 4PCh. 1 - You have been hired by the defense attorney as an...Ch. 1 - A surveyor measures the distance across a straight...Ch. 1 - A crystalline solid consists of atoms stacked up...
Ch. 1 - The position of a particle moving under uniform...Ch. 1 - Prob. 9PCh. 1 - (a) Assume the equation x = At3 + Bt describes the...Ch. 1 - A solid piece of lead has a mass of 23.94 g and a...Ch. 1 - Why is the following situation impossible? A...Ch. 1 - Prob. 13PCh. 1 - Let AI represent the density of aluminum and Fe...Ch. 1 - One gallon of paint (volume = 3.78 103 m3) covers...Ch. 1 - Prob. 16PCh. 1 - (a) Compute the order of magnitude of the mass of...Ch. 1 - To an order of magnitude, how many piano tuners...Ch. 1 - Your roommate is playing a video game from the...Ch. 1 - How many significant figures are in the following...Ch. 1 - The tropical year, the time interval from one...Ch. 1 - Prob. 22PCh. 1 - Review. In a community college parking lot, the...Ch. 1 - Prob. 24PCh. 1 - Review. The ratio of the number of sparrows...Ch. 1 - Prob. 26PCh. 1 - Prob. 27PCh. 1 - Prob. 28PCh. 1 - Prob. 29APCh. 1 - Prob. 30APCh. 1 - The distance from the Sun to the nearest star is...Ch. 1 - Prob. 32APCh. 1 - Prob. 33APCh. 1 - A spherical shell has an outside radius of 2.60 cm...Ch. 1 - Air is blown into a spherical balloon so that,...Ch. 1 - In physics, it is important to use mathematical...Ch. 1 - The consumption of natural gas by a company...Ch. 1 - A woman wishing to know the height of a mountain...Ch. 1 - Prob. 39CP
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