Essential University Physics: Volume 1 (3rd Edition)
3rd Edition
ISBN: 9780321993724
Author: Richard Wolfson
Publisher: PEARSON
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Textbook Question
Chapter 1, Problem 30E
Convert the following to SI units: (a) 55 mi/h: (b) 40.0 km/h; (c) 1 week (take that 1 as an exact number); (d) the period of Mars’s orbit (consult Appendix E).
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In SI units, speeds are measured in meters per second (m/s). But, depending on where you live, you’re probably more 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) 1.0 m/s = 3.6 km/h and (b) 1.0 m/s = 2.2 mi/h.
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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?
Chapter 1 Solutions
Essential University Physics: Volume 1 (3rd Edition)
Ch. 1.2 - A Canadian speed limit of 50 km/h is closest to...Ch. 1.3 - Rank the numbers according to (1) their size and...Ch. 1 - Explain why measurement standards based on...Ch. 1 - Prob. 2FTDCh. 1 - Why doesnt Earths rotation provide a suitable time...Ch. 1 - To raise a power of 10 to another power, you...Ch. 1 - What facts might a scientist use in estimating...Ch. 1 - How would you determine the length of a curved...Ch. 1 - Write 1/x as x to some power.Ch. 1 - Emissions of carbon dioxide from fossil-fuel...
Ch. 1 - In Chapter 3, youll learn that the range of a...Ch. 1 - What is meant by an explicit-constant definition...Ch. 1 - Youre asked to make a rough estimate of the total...Ch. 1 - The power output of a typical large power plant is...Ch. 1 - The diameter of a hydrogen atom is about 0.1 nm,...Ch. 1 - Use the definition of the meter to determine how...Ch. 1 - In nanoseconds, how long is the period of the...Ch. 1 - Lake Baikal in Siberia holds the worlds largest...Ch. 1 - A hydrogen atom is about 0.1 nm in diameter. How...Ch. 1 - How long a piece of wire would you need to form a...Ch. 1 - Making a turn, a jetliner flies 2.1 km on a...Ch. 1 - A car is moving at 35.0 mi/h. Express its speed in...Ch. 1 - You have postage for a 1-oz letter but only a...Ch. 1 - A year is very nearly 107s. By what percentage...Ch. 1 - How many cubic centimeters are in a cubic meter?Ch. 1 - Prob. 24ECh. 1 - A gallon of paint covers 350 ft2. Whats its...Ch. 1 - Highways in Canada have speed limits of 100 km/h....Ch. 1 - One m/s is how many km/h?Ch. 1 - A 3.0-lb box of grass seed will seed 2100 ft2 of...Ch. 1 - A radian is how many degrees?Ch. 1 - Convert the following to SI units: (a) 55 mi/h:...Ch. 1 - The distance to the Andromeda galaxy, the nearest...Ch. 1 - Add 3.63105 m and 2.13103 km.Ch. 1 - Divide 4.23103 m/s by 0.57 ms, and express your...Ch. 1 - Add 5.131022 cm and 6.83103 mm. and multiply the...Ch. 1 - Find the cube root of 6.4 1019 without a...Ch. 1 - Add 1.46 m and 2.3 cm.Ch. 1 - Youre asked to specify the length of an updated...Ch. 1 - Repeat the preceding exercise, this time using...Ch. 1 - To see why its important to carry more digits in...Ch. 1 - Youve been hired as an environmental watchdog for...Ch. 1 - The average dairy cow produces about 104 kg of...Ch. 1 - How many Earths would fit inside the Sun?Ch. 1 - The average American uses electrical energy at the...Ch. 1 - Youre writing a biography of the physicist Enrico...Ch. 1 - (a) Estimate the volume of water going over...Ch. 1 - Estimate the number of air molecules in your dorm...Ch. 1 - A human hair is about 100 m across. Estimate the...Ch. 1 - Youre working in the fraud protection division of...Ch. 1 - Bubble gums density is about 1 g/cm3. You blow an...Ch. 1 - The Moon barely covers the Sun during a solar...Ch. 1 - The semiconductor chip at the heart of a personal...Ch. 1 - Estimate the number of (a) atoms and (b) cells in...Ch. 1 - When we write the number 3.6 as typical of a...Ch. 1 - Continental drift occurs at about the rate your...Ch. 1 - Youre driving into Canada and trying to decide...Ch. 1 - In the 1908 London Olympics, the intended 26-mile...Ch. 1 - An environmental group is lobbying to shut down a...Ch. 1 - If youre working from the print version of this...Ch. 1 - Estimate the area of skin on your body.Ch. 1 - Estimate the mass of water in the worlds oceans,...Ch. 1 - Express the following with appropriate units and...Ch. 1 - Prob. 62PCh. 1 - Caf Milagro sells coffee online. A half-kilogram...Ch. 1 - The world consumes energy at the rate of about 500...Ch. 1 - The volume of a sphere is given by V=43r3, where r...Ch. 1 - The human body contains about 1014 cells, and the...Ch. 1 - The human body contains about 1014 cells, and the...Ch. 1 - The human body contains about 1014 cells, and the...Ch. 1 - The human body contains about 1014 cells, and the...
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