PHYSICS F/...V.1 (LL)-W/ACCESS >CUSTOM<
9th Edition
ISBN: 9781305769335
Author: SERWAY
Publisher: CENGAGE C
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Chapter 1, Problem 1.55AP
To determine
The distance that differs from
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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 traditional unit of length in Japan is the ken (1 ken 1.97 m).What are the ratios of (a) square kens to square meters and (b) cubic kens to cubic meters? What is the volume of a cylindrical water tank of height 5.50 kens and radius 3.00 kens in (c) cubic kens and (d) cubic meters?
A sphere of radius r has surface area A = 4πr and volume V = (4/3) πr .
If the radius of the sphere 2 is double the radius of sphere 1, what is the ratio of (i) the areas, A2/A1 and (ii) the volumes, V2/V1?
Chapter 1 Solutions
PHYSICS F/...V.1 (LL)-W/ACCESS >CUSTOM<
Ch. 1 - In a machine shop, two cams are produced, one of...Ch. 1 - True or False: Dimensional analysis can give you...Ch. 1 - The distance between two cities is 100 mi. What is...Ch. 1 - One student uses a meterstick to measure the...Ch. 1 - A house is advertised as having 1 420 square feet...Ch. 1 - Answer each question yes or no. Must two...Ch. 1 - The price of gasoline at a particular station is...Ch. 1 - Rank the following five quantities in order from...Ch. 1 - Prob. 1.6OQCh. 1 - Prob. 1.7OQ
Ch. 1 - Prob. 1.8OQCh. 1 - Newtons second law of motion ((Chapter 5) says...Ch. 1 - A calculator displays a result as 1.365 218 0 X...Ch. 1 - Suppose the three fundamental standards of the...Ch. 1 - Why is the metric system of units considered...Ch. 1 - What natural phenomena could serve as alternative...Ch. 1 - Express the following quantities using the...Ch. 1 - Prob. 1.1PCh. 1 - The standard kilogram (Fig. 1.1a) is a...Ch. 1 - Prob. 1.3PCh. 1 - Prob. 1.4PCh. 1 - Prob. 1.5PCh. 1 - Prob. 1.6PCh. 1 - A crystalline solid consists of atoms stacked up...Ch. 1 - The mass of a copper atom is 1 06 10-25 kg, and...Ch. 1 - Prob. 1.9PCh. 1 - Figure P1.10 shows a frustum of a cone. Match each...Ch. 1 - Kinetic energy K (Chapter 7) has dimensions kg ...Ch. 1 - Prob. 1.12PCh. 1 - The position of a particle moving under uniform...Ch. 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 - An ore loader moves 1 200 tom/h from a mine to the...Ch. 1 - A rectangular building lot has a width of 75.0 ft...Ch. 1 - Suppose your hair grows at the rate 1/32 in. per...Ch. 1 - Why is the following situation impossible? A...Ch. 1 - A pyramid has a bright of 481 ft, and its base...Ch. 1 - The pyramid described in Problem 20 contains...Ch. 1 - Assume it takes 7.00 min to fill a 30.0-gal...Ch. 1 - A section of land has an area of 1 square mile and...Ch. 1 - A house is 50.0 ft long and 26 ft wide and has...Ch. 1 - Prob. 1.25PCh. 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. 1.28PCh. 1 - Prob. 1.29PCh. 1 - Prob. 1.30PCh. 1 - Find the order of magnitude of the number of...Ch. 1 - (a) Compute the order of magnitude of the mass of...Ch. 1 - To an order of magnitude, how many piano tuners...Ch. 1 - Prob. 1.34PCh. 1 - A rectangular plate has a length of (21.310.2) cm...Ch. 1 - How many significant figures are in the following...Ch. 1 - The tropical year, the time interval from one...Ch. 1 - Carry out the arithmetic operations (a) the sum of...Ch. 1 - Review. In a community college parking lot, the...Ch. 1 - Review. While you arc on a trip to Europe, you...Ch. 1 - Review. A child is surprised that because of sales...Ch. 1 - Prob. 1.42PCh. 1 - Review. The ratio of the number of sparrows...Ch. 1 - Prob. 1.44PCh. 1 - Prob. 1.45PCh. 1 - Review. Prove that one solution of the equation...Ch. 1 - Prob. 1.47PCh. 1 - Review. A highway curve forms a section of a...Ch. 1 - Prob. 1.49PCh. 1 - Prob. 1.50PCh. 1 - Review. A student is supplied with a stack of copy...Ch. 1 - The radius of a uniform solid sphere is measured...Ch. 1 - A sidewalk is to be constructed around a swimming...Ch. 1 - Collectible coins are sometimes plated with gold...Ch. 1 - Prob. 1.55APCh. 1 - (a) What is the order of magnitude of the number...Ch. 1 - The diameter of our disk-shaped galaxy, the Milky...Ch. 1 - Why is the following situation impossible? In an...Ch. 1 - A high fountain of water is located at the center...Ch. 1 - A water fountain is at the center of a circular...Ch. 1 - The data in the following table represent...Ch. 1 - The distance from the Sun to the nearest star is...Ch. 1 - Assume there are 100 million passenger cars in the...Ch. 1 - A spherical shell has an outside radius of 2.60 cm...Ch. 1 - Bacteria and other prokaryotes are found deep...Ch. 1 - Air is blown into a spherical balloon so that,...Ch. 1 - A rod extending between x = 0 and x = 14.0 cm has...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. 1.71APCh. 1 - Prob. 1.72APCh. 1 - You stand in a flat meadow and observe two cows...
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- One student uses a meterstick to measure the thickness of a textbook and obtains 4.3 cm 0.1 cm. Other students measure the thickness with vernier calipers and obtain four different measurements: (a) 4.32 cm 0.01 cm. (b) 4.31 cm 0.01 cm, (c) 4.24 cm 0.01 cm, and (d) 4.43 cm 0.01 cm. Which of these four measurements, if any, agree with that obtained by the first student?arrow_forwardA sidewalk is to be constructed around a swimming pool that measures (10.0 0.1) m by (17.0 0.1) m. If the sidewalk is to measure (1.00 0.01) m wide by (9.0 0.1) cm thick, what volume of concrete is needed and what is the approximate uncertainty of this volume?arrow_forwardUse the rules for significant figures to find the answer to the addition problem 21.4 + 15 + 17.17 + 4.003. (See Section 1.4).arrow_forward
- In general, when a derived unit becomes complicated (involves too many standard units), what is done?arrow_forwardThree displacement vectors of a croquet ball are shown in Figure P1.44, where |A|=20.0units, |B|=40.0units, and |C|=30.0units. Find (a) the resultant in unit-vector notation and (b) the magnitude and direction of the resultant displacement. Figure P1.44arrow_forwardFor a given speed limit, would the numerical value be greater in mi/h or in km/h?arrow_forward
- A surveyor measures the distance across a straight river by the following method: starting directly across from a tree on the opposite bank, he walks x = 1.00 102 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline lo the tree is = 35.0 (Fig. P1.53). How wide is the river? Figure P1.53arrow_forwardA surveyor measures the distance across a straight river by the following method: starting directly across from a tree on the opposite bank, he walks x = 1.00 102 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline lo the tree is = 35.0 (Fig. P1.53). How wide is the river? Figure P1.53arrow_forwardRoughly how many heartbeats are there in a lifetime?arrow_forward
- In SI units, speeds are measured in meters per second (m/s). But, depending on where you live, you’re probably mole comfortable of thinking of speeds in terms of either kilometers per hour (km/h) or miles per hour (mi/h). In this problem, you will see that 1 m/s is roughly 4 km/h or 2 mi/h, which is handy to use when developing your physical Intuition. More precisely, show that (a) 1.0m/s=3.6km/h and 1.0m/s=2.2mi/h .arrow_forwardFor the triangle shown in Figure P1.45, what are (a) the length of the unknown side, (b) the tangent of , and (c) the sine of ? Figure P1.45arrow_forwardFor the triangle shown in Figure P1.45, what are (a) the length of the unknown side, (b) the tangent of , and (c) the sine of ? Figure P1.45arrow_forward
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